Crate scirs2_stats

Expand description

Statistical functions module

This module provides implementations of various statistical algorithms, modeled after SciPy’s stats module.

§Overview

Descriptive statistics
- Basic statistics (mean, median, variance, etc.)
- Advanced statistics (skewness, kurtosis, moments)
- Correlation measures (Pearson, Spearman, Kendall tau, partial correlation)
- Dispersion measures (MAD, median absolute deviation, IQR, range, coefficient of variation)
Statistical distributions
- Normal distribution
- Uniform distribution
- Student’s t distribution
- Chi-square distribution
- F distribution
- Poisson distribution
- Gamma distribution
- Beta distribution
- Exponential distribution
- Hypergeometric distribution
- Laplace distribution
- Logistic distribution
- Cauchy distribution
- Pareto distribution
- Weibull distribution
- Multivariate distributions (multivariate normal, multivariate t, dirichlet, wishart, etc.)
Statistical tests
- Parametric tests (t-tests, ANOVA)
- Non-parametric tests (Mann-Whitney U)
- Normality tests (Shapiro-Wilk, Anderson-Darling, D’Agostino’s K²)
- Goodness-of-fit tests (Chi-square)
Random number generation
Regression models (linear, regularized, robust)
Bayesian statistics (conjugate priors, Bayesian linear regression)
MCMC methods (Metropolis-Hastings, adaptive sampling)
Multivariate analysis (PCA, incremental PCA)
Contingency table functions
Masked array statistics
Quasi-Monte Carlo
Statistical sampling
Survival analysis (Kaplan-Meier, Cox proportional hazards, log-rank test)

§Examples

§Descriptive Statistics

use ndarray::array;
use scirs2_stats::{mean, median, std, var, skew, kurtosis};

let data = array![1.0, 2.0, 3.0, 4.0, 5.0];

// Calculate basic statistics
let mean_val = mean(&data.view()).unwrap();
let median_val = median(&data.view()).unwrap();
let var_val = var(&data.view(), 0, None).unwrap();  // ddof = 0 for population variance
let std_val = std(&data.view(), 0, None).unwrap();  // ddof = 0 for population standard deviation

// Advanced statistics
let skewness = skew(&data.view(), false, None).unwrap();  // bias = false
let kurt = kurtosis(&data.view(), true, false, None).unwrap();  // fisher = true, bias = false

§Correlation Measures

use ndarray::{array, Array2};
use scirs2_stats::{pearson_r, pearsonr, spearman_r, kendall_tau, corrcoef};

let x = array![1.0, 2.0, 3.0, 4.0, 5.0];
let y = array![5.0, 4.0, 3.0, 2.0, 1.0];

// Calculate Pearson correlation coefficient (linear correlation)
let r = pearson_r(&x.view(), &y.view()).unwrap();
println!("Pearson correlation: {}", r);  // Should be -1.0 (perfect negative correlation)

// Calculate Pearson correlation with p-value
let (r, p) = pearsonr(&x.view(), &y.view(), "two-sided").unwrap();
println!("Pearson correlation: {}, p-value: {}", r, p);

// Spearman rank correlation (monotonic relationship)
let rho = spearman_r(&x.view(), &y.view()).unwrap();
println!("Spearman correlation: {}", rho);

// Kendall tau rank correlation
let tau = kendall_tau(&x.view(), &y.view(), "b").unwrap();
println!("Kendall tau correlation: {}", tau);

// Correlation matrix for multiple variables
let data = array![
    [1.0, 5.0, 10.0],
    [2.0, 4.0, 9.0],
    [3.0, 3.0, 8.0],
    [4.0, 2.0, 7.0],
    [5.0, 1.0, 6.0]
];

let corr_matrix = corrcoef(&data.view(), "pearson").unwrap();
println!("Correlation matrix:\n{:?}", corr_matrix);

§Dispersion Measures

use ndarray::array;
use scirs2_stats::{
    mean_abs_deviation, median_abs_deviation, iqr, data_range, coef_variation
};

let data = array![1.0, 2.0, 3.0, 4.0, 5.0, 100.0];  // Note the outlier

// Mean absolute deviation (from mean)
let mad = mean_abs_deviation(&data.view(), None).unwrap();
println!("Mean absolute deviation: {}", mad);

// Median absolute deviation (robust to outliers)
let median_ad = median_abs_deviation(&data.view(), None, None).unwrap();
println!("Median absolute deviation: {}", median_ad);

// Scaled median absolute deviation (consistent with std dev for normal distributions)
let median_ad_scaled = median_abs_deviation(&data.view(), None, Some(1.4826)).unwrap();
println!("Scaled median absolute deviation: {}", median_ad_scaled);

// Interquartile range (Q3 - Q1)
let iqr_val = iqr(&data.view(), None).unwrap();
println!("Interquartile range: {}", iqr_val);

// Range (max - min)
let range_val = data_range(&data.view()).unwrap();
println!("Range: {}", range_val);

// Coefficient of variation (std/mean, unitless measure)
let cv = coef_variation(&data.view(), 1).unwrap();
println!("Coefficient of variation: {}", cv);

§Statistical Distributions

use scirs2_stats::distributions;

// Normal distribution
let normal = distributions::norm(0.0f64, 1.0).unwrap();
let pdf = normal.pdf(0.0);
let cdf = normal.cdf(1.96);
let samples = normal.rvs(100).unwrap();

// Poisson distribution
let poisson = distributions::poisson(3.0f64, 0.0).unwrap();
let pmf = poisson.pmf(2.0);
let cdf = poisson.cdf(4.0);
let samples = poisson.rvs(100).unwrap();

// Gamma distribution
let gamma = distributions::gamma(2.0f64, 1.0, 0.0).unwrap();
let pdf = gamma.pdf(1.0);
let cdf = gamma.cdf(2.0);
let samples = gamma.rvs(100).unwrap();

// Beta distribution
let beta = distributions::beta(2.0f64, 3.0, 0.0, 1.0).unwrap();
let pdf = beta.pdf(0.5);
let samples = beta.rvs(100).unwrap();

// Exponential distribution
let exp = distributions::expon(1.0f64, 0.0).unwrap();
let pdf = exp.pdf(1.0);
let mean = exp.mean(); // Should be 1.0

// Multivariate normal distribution
use ndarray::array;
let mvn_mean = array![0.0, 0.0];
let mvn_cov = array![[1.0, 0.5], [0.5, 2.0]];
let mvn = distributions::multivariate::multivariate_normal(mvn_mean, mvn_cov).unwrap();
let pdf = mvn.pdf(&array![0.0, 0.0]);
let samples = mvn.rvs(100).unwrap();

§Statistical Tests

use ndarray::{array, Array2};
use scirs2_stats::{
    ttest_1samp, ttest_ind, ttest_rel, kstest, shapiro, mann_whitney,
    shapiro_wilk, anderson_darling, dagostino_k2, wilcoxon, kruskal_wallis, friedman,
    ks_2samp, distributions, Alternative
};
use scirs2_stats::tests::ttest::Alternative as TTestAlternative;

// One-sample t-test (we'll use a larger sample for normality tests)
let data = array![
    5.1, 4.9, 6.2, 5.7, 5.5, 5.1, 5.2, 5.0, 5.3, 5.4,
    5.6, 5.8, 5.9, 6.0, 5.2, 5.4, 5.3, 5.1, 5.2, 5.0
];
let result = ttest_1samp(&data.view(), 5.0, TTestAlternative::TwoSided, "propagate").unwrap();
let t_stat = result.statistic;
let p_value = result.pvalue;
println!("One-sample t-test: t={}, p={}", t_stat, p_value);

// Two-sample t-test
let group1 = array![5.1, 4.9, 6.2, 5.7, 5.5];
let group2 = array![4.8, 5.2, 5.1, 4.7, 4.9];
let result = ttest_ind(&group1.view(), &group2.view(), true, TTestAlternative::TwoSided, "propagate").unwrap();
let t_stat = result.statistic;
let p_value = result.pvalue;
println!("Two-sample t-test: t={}, p={}", t_stat, p_value);

// Normality tests
let (w_stat, p_value) = shapiro(&data.view()).unwrap();
println!("Shapiro-Wilk test: W={}, p={}", w_stat, p_value);

// More accurate Shapiro-Wilk test implementation
let (w_stat, p_value) = shapiro_wilk(&data.view()).unwrap();
println!("Improved Shapiro-Wilk test: W={}, p={}", w_stat, p_value);

// Anderson-Darling test for normality
let (a2_stat, p_value) = anderson_darling(&data.view()).unwrap();
println!("Anderson-Darling test: A²={}, p={}", a2_stat, p_value);

// D'Agostino's K² test combining skewness and kurtosis
let (k2_stat, p_value) = dagostino_k2(&data.view()).unwrap();
println!("D'Agostino K² test: K²={}, p={}", k2_stat, p_value);

// Non-parametric tests

// Wilcoxon signed-rank test (paired samples)
let before = array![125.0, 115.0, 130.0, 140.0, 140.0];
let after = array![110.0, 122.0, 125.0, 120.0, 140.0];
let (w, p_value) = wilcoxon(&before.view(), &after.view(), "wilcox", true).unwrap();
println!("Wilcoxon signed-rank test: W={}, p={}", w, p_value);

// Mann-Whitney U test (independent samples)
let males = array![19.0, 22.0, 16.0, 29.0, 24.0];
let females = array![20.0, 11.0, 17.0, 12.0];
let (u, p_value) = mann_whitney(&males.view(), &females.view(), "two-sided", true).unwrap();
println!("Mann-Whitney U test: U={}, p={}", u, p_value);

// Kruskal-Wallis test (unpaired samples)
let group1 = array![2.9, 3.0, 2.5, 2.6, 3.2];
let group2 = array![3.8, 3.7, 3.9, 4.0, 4.2];
let group3 = array![2.8, 3.4, 3.7, 2.2, 2.0];
let samples = vec![group1.view(), group2.view(), group3.view()];
let (h, p_value) = kruskal_wallis(&samples).unwrap();
println!("Kruskal-Wallis test: H={}, p={}", h, p_value);

// Friedman test (repeated measures)
let data = array![
    [7.0, 9.0, 8.0],
    [6.0, 5.0, 7.0],
    [9.0, 7.0, 6.0],
    [8.0, 5.0, 6.0]
];
let (chi2, p_value) = friedman(&data.view()).unwrap();
println!("Friedman test: Chi²={}, p={}", chi2, p_value);

// One-sample distribution fit test
let normal = distributions::norm(0.0f64, 1.0).unwrap();
let standardizeddata = array![0.1, -0.2, 0.3, -0.1, 0.2];
let (ks_stat, p_value) = kstest(&standardizeddata.view(), |x| normal.cdf(x)).unwrap();
println!("Kolmogorov-Smirnov one-sample test: D={}, p={}", ks_stat, p_value);

// Two-sample KS test
let sample1 = array![0.1, 0.2, 0.3, 0.4, 0.5];
let sample2 = array![0.6, 0.7, 0.8, 0.9, 1.0];
let (ks_stat, p_value) = ks_2samp(&sample1.view(), &sample2.view(), "two-sided").unwrap();
println!("Kolmogorov-Smirnov two-sample test: D={}, p={}", ks_stat, p_value);

§Random Number Generation

use scirs2_stats::random::{uniform, randn, randint, choice};
use ndarray::array;

// Generate uniform random numbers between 0 and 1
let uniform_samples = uniform(0.0, 1.0, 10, Some(42)).unwrap();

// Generate standard normal random numbers
let normal_samples = randn(10, Some(123)).unwrap();

// Generate random integers between 1 and 100
let int_samples = randint(1, 101, 5, Some(456)).unwrap();

// Randomly choose elements from an array
let options = array!["apple", "banana", "cherry", "date", "elderberry"];
let choices = choice(&options.view(), 3, false, None, Some(789)).unwrap();

§Statistical Sampling

use scirs2_stats::sampling;
use ndarray::array;

// Create an array
let data = array![1.0, 2.0, 3.0, 4.0, 5.0];

// Generate bootstrap samples
let bootstrap_samples = sampling::bootstrap(&data.view(), 10, Some(42)).unwrap();

// Generate a random permutation
let permutation = sampling::permutation(&data.view(), Some(123)).unwrap();

Re-exports§

pub use adaptive_simd_optimization::create_adaptive_simd_optimizer;
pub use adaptive_simd_optimization::optimize_simd_operation;
pub use adaptive_simd_optimization::AdaptiveSimdConfig;
pub use adaptive_simd_optimization::AdaptiveSimdOptimizer;
pub use adaptive_simd_optimization::DataCharacteristics as SimdDataCharacteristics;
pub use adaptive_simd_optimization::HardwareCapabilities;
pub use adaptive_simd_optimization::OptimizationLevel;
pub use adaptive_simd_optimization::PerformanceStatistics;
pub use adaptive_simd_optimization::SimdOptimizationResult;
pub use adaptive_simd_optimization::SimdStrategy;
pub use api_standardization::Alternative;
pub use api_standardization::CorrelationBuilder;
pub use api_standardization::CorrelationMethod;
pub use api_standardization::CorrelationResult;
pub use api_standardization::DescriptiveStats;
pub use api_standardization::DescriptiveStatsBuilder;
pub use api_standardization::F32DescriptiveBuilder;
pub use api_standardization::F32StatsAnalyzer;
pub use api_standardization::F64DescriptiveBuilder;
pub use api_standardization::F64StatsAnalyzer;
pub use api_standardization::NullHandling;
pub use api_standardization::StandardizedConfig;
pub use api_standardization::StandardizedResult;
pub use api_standardization::StatsAnalyzer;
pub use api_standardization::TestResult;
pub use api_standardization_enhanced::quick_correlation;
pub use api_standardization_enhanced::quick_descriptive;
pub use api_standardization_enhanced::stats;
pub use api_standardization_enhanced::stats_with;
pub use api_standardization_enhanced::AutoOptimizationLevel;
pub use api_standardization_enhanced::ChainedResults;
pub use api_standardization_enhanced::CorrelationMethod as EnhancedCorrelationMethod;
pub use api_standardization_enhanced::CorrelationType;
pub use api_standardization_enhanced::FluentCorrelation;
pub use api_standardization_enhanced::FluentDescriptive;
pub use api_standardization_enhanced::FluentRegression;
pub use api_standardization_enhanced::FluentStats;
pub use api_standardization_enhanced::FluentStatsConfig;
pub use api_standardization_enhanced::FluentTesting;
pub use api_standardization_enhanced::MemoryStrategy;
pub use api_standardization_enhanced::OperationResult;
pub use api_standardization_enhanced::OperationType;
pub use api_standardization_enhanced::RegressionType;
pub use api_standardization_enhanced::ResultFormat;
pub use api_standardization_enhanced::StatisticalOperation;
pub use api_standardization_enhanced::TestType;
pub use benchmark_suite::AlgorithmConfig;
pub use benchmark_suite::BenchmarkConfig;
pub use benchmark_suite::BenchmarkMetrics;
pub use benchmark_suite::BenchmarkReport;
pub use benchmark_suite::BenchmarkSuite;
pub use benchmark_suite::ComplexityClass;
pub use benchmark_suite::MemoryStats;
pub use benchmark_suite::OptimizationRecommendation;
pub use benchmark_suite::PerformanceAnalysis;
pub use benchmark_suite::TimingStats;
pub use benchmark_suite_enhanced::create_configured_enhanced_benchmark_suite;
pub use benchmark_suite_enhanced::create_enhanced_benchmark_suite;
pub use benchmark_suite_enhanced::run_quick_ai_analysis;
pub use benchmark_suite_enhanced::AIPerformanceAnalysis;
pub use benchmark_suite_enhanced::AnomalyType;
pub use benchmark_suite_enhanced::BottleneckType;
pub use benchmark_suite_enhanced::CrossPlatformAnalysis;
pub use benchmark_suite_enhanced::EnhancedBenchmarkConfig;
pub use benchmark_suite_enhanced::EnhancedBenchmarkReport;
pub use benchmark_suite_enhanced::EnhancedBenchmarkSuite;
pub use benchmark_suite_enhanced::ImplementationEffort;
pub use benchmark_suite_enhanced::IntelligentRecommendation;
pub use benchmark_suite_enhanced::MLModelConfig;
pub use benchmark_suite_enhanced::MemoryHierarchy;
pub use benchmark_suite_enhanced::PerformanceBottleneck;
pub use benchmark_suite_enhanced::PerformancePrediction;
pub use benchmark_suite_enhanced::PlatformTarget;
pub use benchmark_suite_enhanced::RecommendationCategory;
pub use benchmark_suite_enhanced::RecommendationPriority;
pub use benchmark_suite_enhanced::RegressionAnalysis;
pub use benchmark_suite_enhanced::RegressionSeverity;
pub use benchmark_suite_enhanced::SimdCapabilities;
pub use benchmark_suite_enhanced::TrendDirection;
pub use error::StatsError;
pub use error::StatsResult;
pub use error_diagnostics::generate_global_health_report;
pub use error_diagnostics::get_global_statistics;
pub use error_diagnostics::global_monitor;
pub use error_diagnostics::record_global_error;
pub use error_diagnostics::CriticalIssue;
pub use error_diagnostics::ErrorMonitor;
pub use error_diagnostics::ErrorOccurrence;
pub use error_diagnostics::ErrorPattern;
pub use error_diagnostics::ErrorStatistics;
pub use error_diagnostics::ErrorTrend;
pub use error_diagnostics::HealthReport;
pub use error_diagnostics::Recommendation;
pub use error_handling_enhancements::AdvancedContextBuilder;
pub use error_handling_enhancements::AdvancedErrorContext;
pub use error_handling_enhancements::AdvancedErrorMessages;
pub use error_handling_enhancements::AdvancedErrorRecovery;
pub use error_handling_enhancements::OptimizationSuggestion;
pub use error_handling_enhancements::RecoveryStrategy;
pub use error_handling_v2::EnhancedError;
pub use error_handling_v2::ErrorBuilder;
pub use error_handling_v2::ErrorCode;
pub use error_handling_v2::ErrorContext as ErrorContextV2;
pub use error_handling_v2::PerformanceImpact;
pub use error_handling_v2::RecoverySuggestion;
pub use error_recovery_system::enhance_error_with_recovery;
pub use error_recovery_system::initialize_error_recovery;
pub use error_recovery_system::CodeSnippet;
pub use error_recovery_system::ComputationState;
pub use error_recovery_system::ConvergenceStatus;
pub use error_recovery_system::DataCharacteristics;
pub use error_recovery_system::DistributionInfo;
pub use error_recovery_system::EnhancedStatsError;
pub use error_recovery_system::ErrorContext;
pub use error_recovery_system::ErrorRecoveryConfig;
pub use error_recovery_system::ErrorRecoverySystem;
pub use error_recovery_system::ErrorSeverity;
pub use error_recovery_system::ImpactLevel;
pub use error_recovery_system::MissingDataInfo;
pub use error_recovery_system::MissingPattern;
pub use error_recovery_system::PerformanceImpact as RecoveryPerformanceImpact;
pub use error_recovery_system::PreprocessingStep;
pub use error_recovery_system::RangeInfo;
pub use error_recovery_system::RecoveryAction;
pub use error_recovery_system::RecoverySuggestion as RecoveryRecoverySuggestion;
pub use error_recovery_system::SizeInfo;
pub use error_recovery_system::SuggestionType;
pub use error_recovery_system::SystemInfo;
pub use error_recovery_system::ValidationCheck;
pub use error_standardization::AutoRecoverySystem;
pub use error_standardization::BatchErrorHandler;
pub use error_standardization::DataDiagnostics;
pub use error_standardization::DataQualityIssue;
pub use error_standardization::EnhancedErrorContext;
pub use error_standardization::ErrorDiagnostics;
pub use error_standardization::ErrorMessages;
pub use error_standardization::ErrorValidator;
pub use error_standardization::InterModuleErrorChecker;
pub use error_standardization::PerformanceImpact as StandardizedPerformanceImpact;
pub use error_standardization::RecoverySuggestions;
pub use error_standardization::StandardizedErrorReporter;
pub use error_standardization::StatsSummary;
pub use error_standardization::SystemDiagnostics;
pub use error_suggestions::diagnose_error;
pub use error_suggestions::DiagnosisReport;
pub use error_suggestions::ErrorFormatter;
pub use error_suggestions::ErrorType;
pub use error_suggestions::Severity;
pub use error_suggestions::Suggestion;
pub use error_suggestions::SuggestionEngine;
pub use intelligent_error_recovery::create_intelligent_recovery;
pub use intelligent_error_recovery::get_intelligent_suggestions;
pub use intelligent_error_recovery::IntelligentErrorRecovery;
pub use intelligent_error_recovery::IntelligentRecoveryStrategy;
pub use intelligent_error_recovery::RecoveryConfig;
pub use intelligent_error_recovery::ResourceRequirements;
pub use intelligent_error_recovery::RiskLevel;
pub use memory_optimization_advanced::AdaptiveStatsAllocator;
pub use memory_optimization_advanced::CacheOptimizedMatrix;
pub use memory_optimization_advanced::MatrixLayout;
pub use memory_optimization_advanced::MemoryOptimizationConfig;
pub use memory_optimization_advanced::MemoryOptimizationReport;
pub use memory_optimization_advanced::MemoryOptimizationSuite;
pub use memory_optimization_advanced::MemoryProfile;
pub use memory_optimization_advanced::StreamingStatsCalculator;
pub use memory_optimization_enhanced::create_configured_memory_optimizer;
pub use memory_optimization_enhanced::create_enhanced_memory_optimizer;
pub use memory_optimization_enhanced::EnhancedMemoryOptimizer;
pub use memory_optimization_enhanced::GarbageCollectionResult;
pub use memory_optimization_enhanced::MemoryOptimizationConfig as EnhancedMemoryConfig;
pub use memory_optimization_enhanced::MemoryStatistics as EnhancedMemoryStatistics;
pub use memory_optimization_enhanced::OptimizationRecommendation as EnhancedOptimizationRecommendation;
pub use performance_benchmark_suite::AdvancedBenchmarkConfig;
pub use performance_benchmark_suite::AdvancedBenchmarkMetrics;
pub use performance_benchmark_suite::AdvancedBenchmarkReport;
pub use performance_benchmark_suite::AdvancedBenchmarkSuite;
pub use performance_benchmark_suite::ComprehensiveAnalysis;
pub use performance_benchmark_suite::CrossPlatformAssessment;
pub use performance_benchmark_suite::ScalabilityAssessment;
pub use performance_benchmark_suite::StabilityAssessment;
pub use performance_optimization::OptimizedCanonicalCorrelationAnalysis;
pub use performance_optimization::OptimizedLinearDiscriminantAnalysis;
pub use performance_optimization::PerformanceBenchmark;
pub use performance_optimization::PerformanceConfig;
pub use performance_optimization::PerformanceMetrics;
pub use scipy_benchmark_comparison::run_function_comparison;
pub use scipy_benchmark_comparison::run_scipy_comparison;
pub use scipy_benchmark_comparison::AccuracyComparison;
pub use scipy_benchmark_comparison::AccuracyRating;
pub use scipy_benchmark_comparison::ComparisonRecommendation;
pub use scipy_benchmark_comparison::ComparisonStatus;
pub use scipy_benchmark_comparison::FunctionComparison;
pub use scipy_benchmark_comparison::PerformanceComparison;
pub use scipy_benchmark_comparison::PerformanceRating;
pub use scipy_benchmark_comparison::ScipyBenchmarkComparison;
pub use scipy_benchmark_comparison::ScipyComparisonConfig;
pub use scipy_benchmark_comparison::ScipyComparisonReport;
pub use unified_error_handling::create_standardized_error;
pub use unified_error_handling::global_error_handler;
pub use unified_error_handling::UnifiedErrorHandler;
pub use api_improvements::CorrelationExt;
pub use api_improvements::OptimizationHint;
pub use api_improvements::StatsBuilder;
pub use api_improvements::StatsConfig;
pub use advanced_bootstrap::block_bootstrap;
pub use advanced_bootstrap::circular_block_bootstrap;
pub use advanced_bootstrap::moving_block_bootstrap;
pub use advanced_bootstrap::stationary_bootstrap;
pub use advanced_bootstrap::stratified_bootstrap;
pub use advanced_bootstrap::AdvancedBootstrapConfig;
pub use advanced_bootstrap::AdvancedBootstrapProcessor;
pub use advanced_bootstrap::AdvancedBootstrapResult;
pub use advanced_bootstrap::BlockType;
pub use advanced_bootstrap::BootstrapConfidenceIntervals;
pub use advanced_bootstrap::BootstrapDiagnostics;
pub use advanced_bootstrap::BootstrapDistributionStats;
pub use advanced_bootstrap::BootstrapType;
pub use advanced_bootstrap::ConvergenceInfo;
pub use advanced_bootstrap::ParametricBootstrapParams;
pub use advanced_bootstrap::QualityMetrics;
pub use advanced_bootstrap::TaperFunction;
pub use advanced_bootstrap::WildDistribution;
pub use advanced_integration::BayesianAnalysisResult;
pub use advanced_integration::BayesianAnalysisWorkflow;
pub use advanced_integration::BayesianModelMetrics;
pub use advanced_integration::DimensionalityAnalysisResult;
pub use advanced_integration::DimensionalityAnalysisWorkflow;
pub use advanced_integration::DimensionalityMetrics;
pub use advanced_integration::DimensionalityRecommendations;
pub use advanced_integration::QMCQualityMetrics;
pub use advanced_integration::QMCResult;
pub use advanced_integration::QMCSequenceType;
pub use advanced_integration::QMCWorkflow;
pub use advanced_integration::SurvivalAnalysisResult;
pub use advanced_integration::SurvivalAnalysisWorkflow;
pub use advanced_integration::SurvivalSummaryStats;
pub use advanced_parallel_monte_carlo::integrate_parallel;
pub use advanced_parallel_monte_carlo::AdvancedParallelMonteCarlo;
pub use advanced_parallel_monte_carlo::GaussianFunction;
pub use advanced_parallel_monte_carlo::IntegrableFunction;
pub use advanced_parallel_monte_carlo::IntegrationMetrics;
pub use advanced_parallel_monte_carlo::MonteCarloConfig;
pub use advanced_parallel_monte_carlo::MonteCarloResult;
pub use advanced_parallel_monte_carlo::TestFunction;
pub use advanced_parallel_monte_carlo::VarianceReductionConfig;
pub use api_consistency_validation::validate_api_consistency;
pub use api_consistency_validation::APIConsistencyValidator;
pub use api_consistency_validation::APIInconsistency;
pub use api_consistency_validation::CheckCategory;
pub use api_consistency_validation::DocumentationStatus;
pub use api_consistency_validation::FunctionCategory;
pub use api_consistency_validation::FunctionPattern;
pub use api_consistency_validation::FunctionRegistry;
pub use api_consistency_validation::FunctionSignature;
pub use api_consistency_validation::InconsistencyType;
pub use api_consistency_validation::NamingConventions;
pub use api_consistency_validation::ParameterInfo;
pub use api_consistency_validation::ParameterUsage;
pub use api_consistency_validation::ReturnTypeInfo;
pub use api_consistency_validation::Severity as APISeverity;
pub use api_consistency_validation::ValidationCheck as APIValidationCheck;
pub use api_consistency_validation::ValidationConfig;
pub use api_consistency_validation::ValidationReport;
pub use api_consistency_validation::ValidationResults;
pub use api_consistency_validation::ValidationStatus;
pub use api_consistency_validation::ValidationSummary;
pub use api_consistency_validation::ValidationWarning;
pub use production_deployment::create_cloud_production_config;
pub use production_deployment::create_container_production_config;
pub use production_deployment::CheckResult;
pub use production_deployment::CheckSeverity;
pub use production_deployment::CheckStatus;
pub use production_deployment::CloudProvider;
pub use production_deployment::ContainerRuntime;
pub use production_deployment::CpuFeatures;
pub use production_deployment::EnvironmentSpec;
pub use production_deployment::EnvironmentType;
pub use production_deployment::HealthCheck;
pub use production_deployment::HealthCheckResult;
pub use production_deployment::HealthChecker;
pub use production_deployment::HealthStatus;
pub use production_deployment::MemoryLimits;
pub use production_deployment::PerformanceMonitor;
pub use production_deployment::PerformanceRequirements;
pub use production_deployment::ProductionConfig;
pub use production_deployment::ProductionDeploymentValidator;
pub use production_deployment::ServerlessPlatform;
pub use production_deployment::SimdFeature;
pub use production_deployment::ValidationResults as ProductionValidationResults;
pub use traits::CircularDistribution;
pub use traits::ContinuousDistribution;
pub use traits::DiscreteDistribution;
pub use traits::Distribution;
pub use traits::Fittable;
pub use traits::MultivariateDistribution;
pub use traits::Truncatable;
pub use moments_simd::kurtosis_simd;
pub use moments_simd::moment_simd;
pub use moments_simd::moments_batch_simd;
pub use moments_simd::skewness_simd;
pub use simd_enhanced_core::comprehensive_stats_simd as comprehensive_stats_enhanced;
pub use simd_enhanced_core::correlation_simd_enhanced;
pub use simd_enhanced_core::mean_enhanced;
pub use simd_enhanced_core::variance_enhanced;
pub use simd_enhanced_core::ComprehensiveStats;
pub use advanced_simd_stats::AccuracyLevel;
pub use advanced_simd_stats::AdvancedSimdConfig as AdvancedSimdConfigV2;
pub use advanced_simd_stats::AdvancedSimdOptimizer;
pub use advanced_simd_stats::AlgorithmChoice as AdvancedAlgorithmChoice;
pub use advanced_simd_stats::BatchOperation;
pub use advanced_simd_stats::BatchResults;
pub use advanced_simd_stats::MemoryConstraints as AdvancedMemoryConstraints;
pub use advanced_simd_stats::PerformancePreference;
pub use advanced_simd_stats::PerformanceProfile as AdvancedPerformanceProfile;
pub use advanced_simd_stats::ScalarAlgorithm;
pub use advanced_simd_stats::SimdAlgorithm;
pub use advanced_simd_stats::ThreadingPreferences;
pub use parallel_enhanced_advanced::create_advanced_parallel_processor;
pub use parallel_enhanced_advanced::create_configured_parallel_processor;
pub use parallel_enhanced_advanced::AdvancedParallelConfig as EnhancedAdvancedParallelConfig;
pub use parallel_enhanced_advanced::AdvancedParallelProcessor;
pub use parallel_enhanced_advanced::ChunkStrategy;
pub use mcmc::ChainStatistics;
pub use tests::anova::one_way_anova;
pub use tests::anova::tukey_hsd;
pub use tests::chi2_test::chi2_gof;
pub use tests::chi2_test::chi2_independence;
pub use tests::chi2_test::chi2_yates;
pub use tests::nonparametric::friedman;
pub use tests::nonparametric::kruskal_wallis;
pub use tests::nonparametric::mann_whitney;
pub use tests::nonparametric::wilcoxon;
pub use tests::normality::anderson_darling;
pub use tests::normality::dagostino_k2;
pub use tests::normality::ks_2samp;
pub use tests::normality::shapiro_wilk;
pub use tests::ttest::ttest_1samp;
pub use tests::ttest::ttest_ind;
pub use tests::ttest::ttest_ind_from_stats;
pub use tests::ttest::ttest_rel;
pub use tests::ttest::TTestResult;
pub use distribution_characteristics::cross_entropy;
pub use distribution_characteristics::entropy;
pub use distribution_characteristics::kl_divergence;
pub use distribution_characteristics::kurtosis_ci;
pub use distribution_characteristics::mode;
pub use distribution_characteristics::skewness_ci;
pub use distribution_characteristics::ConfidenceInterval;
pub use distribution_characteristics::Mode;
pub use distribution_characteristics::ModeMethod;
pub use regression::elastic_net;
pub use regression::group_lasso;
pub use regression::huber_regression;
pub use regression::lasso_regression;
pub use regression::linear_regression;
pub use regression::linregress;
pub use regression::multilinear_regression;
pub use regression::odr;
pub use regression::polyfit;
pub use regression::ransac;
pub use regression::ridge_regression;
pub use regression::stepwise_regression;
pub use regression::theilslopes;
pub use regression::HuberT;
pub use regression::RegressionResults;
pub use regression::StepwiseCriterion;
pub use regression::StepwiseDirection;
pub use regression::StepwiseResults;
pub use regression::TheilSlopesResult;
pub use tests::*;
pub use random::*;

Modules§

adaptive_simd_optimization: Adaptive SIMD optimization framework for scirs2-stats v1.0.0
advanced_bootstrap: Advanced bootstrap methods for complex statistical inference
advanced_integration: Advanced Statistical Analysis Integration
advanced_parallel_monte_carlo: Advanced parallel Monte Carlo integration with adaptive sampling
advanced_simd_stats: advanced Advanced SIMD Optimization System
api_consistency_validation: Comprehensive API consistency validation framework
api_improvements: API improvements for v1.0.0 release
api_standardization: API standardization and consistency framework for scirs2-stats v1.0.0
api_standardization_enhanced: Enhanced API Standardization Framework for scirs2-stats v1.0.0+
bayesian: Bayesian statistical methods
benchmark_suite: Comprehensive benchmark suite for scirs2-stats performance analysis
benchmark_suite_enhanced: Enhanced AI-Driven Benchmark Suite for scirs2-stats
cache_friendly: Cache-friendly matrix operations
contingency: Contingency table functions
distribution_characteristics: Distribution characteristic statistics
distributions: Statistical distributions
error: Error types for the SciRS2 statistics module
error_context: Enhanced error context and recovery suggestions
error_diagnostics: Error diagnostics and monitoring system
error_handling_enhancements: Advanced Error Handling Enhancements
error_handling_v2: Enhanced error handling system for v1.0.0
error_messages: Standardized error messages and error creation helpers
error_recovery_system: Enhanced error handling and recovery system
error_standardization: Error message standardization for consistent error handling
error_suggestions: Enhanced error suggestion system with context-aware recovery strategies
intelligent_error_recovery: Intelligent error recovery with ML-powered suggestions
mcmc: Markov Chain Monte Carlo (MCMC) methods
memory_mapped: Memory-mapped statistical operations for very large datasets
memory_optimization_advanced: Advanced memory optimization strategies for statistical computations
memory_optimization_enhanced: Enhanced memory optimization with intelligent management and profiling
moments_simd: SIMD-optimized higher-order moment calculations
mstats: Masked array statistics
multivariate: Multivariate statistical analysis methods
numerical_stability_analyzer: Numerical stability analysis framework
parallel_enhanced_advanced: Advanced parallel statistical processing with intelligent optimization
performance_benchmark_suite: advanced Enhanced Benchmark Suite
performance_optimization: Performance optimization integrations for advanced statistical methods
production_deployment: Production deployment utilities for scirs2-stats v1.0.0+
qmc: Quasi-Monte Carlo
random: Random number generation
regression: Regression analysis module
sampling: Statistical sampling
scipy_benchmark_comparison: SciPy benchmark comparison framework for scirs2-stats v1.0.0
scipy_benchmark_framework: Comprehensive SciPy benchmark comparison framework
simd_enhanced_core: Enhanced SIMD-optimized core statistical operations
survival: Survival Analysis
tests: Statistical tests module
traits: Statistical distribution traits
unified_error_handling: Unified Error Handling System
zero_copy: Zero-copy view-based statistics

Macros§

enhanced_error: Convenience macro for enhanced error handling
stats_error: Helper macros for creating standardized errors
stats_error_unified: Convenience macro for creating standardized errors with automatic monitoring
stats_error_with_suggestions: Helper macro for creating errors with suggestions
validate_or_error: Convenience macro for validation with automatic error creation

Structs§

AccuracyMetrics: Numerical accuracy metrics
AdaptationConfig: Adaptation configuration
AdaptiveMemoryConfig: Advanced-advanced adaptive memory configuration
AdaptiveMemoryManager: Adaptive memory manager that adjusts algorithms based on available memory
AdaptiveThreshold: Adaptive threshold calculator based on system capabilities
AdvancedAdaptiveMemoryManager: Advanced-advanced adaptive memory manager
AdvancedAdvancedConfig: Advanced-advanced MCMC configuration
AdvancedAdvancedMCMC: Advanced-advanced MCMC sampler with adaptive methods
AdvancedAdvancedParallelConfig: Advanced-advanced parallel configuration for massive scale operations
AdvancedAdvancedParallelProcessor: Advanced-advanced parallel processor for massive datasets
AdvancedAdvancedResults: MCMC sampling results
AdvancedAdvancedStreamingProcessor: Advanced streaming processor with multiple algorithms
AdvancedBayesianResult: Advanced Bayesian inference result
AdvancedComprehensiveSimdConfig: Advanced-comprehensive SIMD configuration
AdvancedComprehensiveSimdProcessor: Advanced-comprehensive SIMD processor
AdvancedEnhancedSimdConfig: Advanced-advanced SIMD configuration
AdvancedEnhancedSimdProcessor: Advanced-enhanced SIMD processor with adaptive optimization
AdvancedMatrixStatsResult: Advanced matrix statistics result
AdvancedMemoryConfig: Memory configuration for large-scale processing
AdvancedMemoryManager: Adaptive memory manager that monitors usage and adjusts strategies
AdvancedMemoryStatistics
AdvancedMultivariateAnalysis: Advanced-advanced multivariate analysis framework
AdvancedMultivariateConfig: Configuration for advanced multivariate analysis
AdvancedMultivariateResults: Advanced-advanced analysis results
AdvancedParallelConfig: Advanced parallel configuration with work stealing and load balancing
AdvancedPerformanceMetrics: Performance metrics snapshot
AdvancedQuantumAnalyzer: Advanced-advanced quantum-inspired statistical analyzer
AdvancedSimdConfig: Advanced SIMD configuration with platform detection
AdvancedSimdPerformanceStats: Performance statistics for SIMD operations
AdvancedSimdProcessor: Advanced-optimized SIMD statistical operations
AdvancedSimdResults: Advanced-enhanced SIMD statistical results
AdvancedSpectralAnalyzer: Advanced-advanced spectral analysis framework
AdvancedSpectralConfig: Configuration for advanced spectral analysis
AdvancedSpectralResults: Spectral analysis results
AdvancedStatsResult: Advanced statistics result with performance metrics
AdvancedStreamingConfig: Configuration for advanced streaming analytics
AdvancedSurvivalAnalysis: Advanced-advanced survival analysis framework
AdvancedSurvivalConfig: Configuration for advanced survival analysis
AdvancedSurvivalResults: Advanced-advanced survival analysis results
AdvancedTopologicalAnalyzer: Advanced-advanced topological data analyzer
AllocationStats: Statistics for memory allocations
AnomalyDetector: Real-time anomaly detection
AnomalyEvent: Anomaly detection event
BaselineStatistics: Statistical summary of baseline performance
BayesianGaussianProcess: Gaussian process regression implementation
BayesianModel: Individual Bayesian model for comparison
BayesianModelComparison: Advanced Bayesian model comparison framework
BayesianNeuralNetwork: Bayesian neural network implementation
BootstrapResult: Results from bootstrap confidence interval estimation
CacheAwareVectorProcessor: Cache-aware vector block processor
CacheOptimizationConfig: Cache optimization configuration
CacheStats
CausalSurvivalConfig: Causal survival analysis configuration
ChangePointDetector: Change point detection using advanced algorithms
ChangePointEvent: Change point detection event
ClusteringConfig: Advanced clustering configuration
CoherenceConfig: Coherence analysis configuration
CoherenceResults: Coherence analysis results
CompetingRisksConfig: Competing risks configuration
CompilerContext: Compiler context during measurement
ComponentDiagnostics: Component diagnostics
ComprehensiveStatsResult: Comprehensive statistical result with all metrics
CompressionEngine: Intelligent data compression for streaming analytics
CompressionSummary: Compression summary statistics
ConvergenceDiagnostics: Comprehensive convergence diagnostics
CoxConfig: Cox regression configuration
CoxConvergenceInfo: Cox model convergence information
CoxProportionalHazards: Cox Proportional Hazards Model
CpuCapabilities: Detected CPU capabilities for SIMD optimization
CrossPlatformRegressionConfig: Cross-platform regression detection configuration
CrossPlatformRegressionDetector: Cross-platform regression detection system
EnhancedKaplanMeier: Enhanced Kaplan-Meier estimator
EnhancedParallelConfig: Enhanced parallel configuration
EnhancedParallelProcessor: Enhanced parallel statistics processor
Filtration: Filtration representation
GCResult: GC result information
GMMConfig: Advanced GMM configuration
GMMParameters: Advanced GMM parameters with diagnostics
GarbageCollectionConfig: Garbage collection optimization configuration
GaussianMixtureModel: Gaussian Mixture Model with EM algorithm
HardwareConfig: Hardware configuration detection and optimization
HardwareContext: Hardware context during measurement
HigherOrderResults: Higher-order spectral analysis results
HigherOrderSpectralConfig: Higher-order spectral analysis configuration
IncrementalMLModel: Incremental machine learning model for streaming data
KDEConfig: KDE configuration
KernelDensityEstimator: Kernel Density Estimation
LazyStatComputation: Lazy evaluation for statistical operations
LazyStats: Lazy statistics calculator that computes values on demand
MCMCPerformanceMetrics: Performance metrics
MLSpectralConfig: Machine learning enhanced spectral configuration
MLSpectralResults: Machine learning enhanced spectral results
ManifoldConfig: Manifold learning configuration
MapperEdge: Mapper edge representation
MapperGraph: Mapper graph structure
MapperNode: Mapper node representation
MatrixParallelResult: Result structure for parallel matrix operations
MatrixStatsResult: Results container for matrix statistics
MemoryAdaptiveAlgorithm: Memory-aware algorithm selector
MemoryConfig: Memory usage configuration
MemoryConstraints: Memory constraints configuration
MemoryPool: Memory pool for reusing allocations
MemoryPressureConfig: Memory pressure detection and response
MemoryProfiler: Comprehensive memory profiler for statistical operations
MemoryReport: Memory usage report
MemoryTracker: Memory usage tracker for profiling
MemoryUsageStatistics: Memory usage statistics
MemoryUsageStats: Memory usage statistics for monitoring
ModelComparisonResult: Results from Bayesian model comparison
ModelSelectionCriteria: Model selection criteria
MovingWindowSIMD: SIMD-optimized moving window statistics
MultiTaperConfig: Multi-taper spectral estimation configuration
MultiViewConfig: Multi-view learning configuration
MultiscaleResults: Multi-scale analysis results
NonStationaryConfig: Non-stationary signal analysis configuration
NumaConfig: NUMA (Non-Uniform Memory Access) configuration
OperationPerformance: Performance metrics for a single operation
OptimalAlgorithm: Optimal algorithm selection for specific scenarios
OptimizationConfig: Performance optimization configuration
OutOfCoreConfig: Out-of-core processing configuration
PCAResult
ParallelBatchProcessor: Parallel batch processor for statistical operations
ParallelConfig: Configuration for parallel operations
ParallelCorrelationConfig: Parallel configuration for correlation computations
ParallelCrossValidation: Parallel cross-validation for model evaluation
ParallelCrossValidator: Parallel cross-validation framework
ParallelHistogram: Parallel histogram computation with adaptive binning
ParallelMatrixOps: Parallel algorithm for efficient matrix operations used in statistics
ParallelMonteCarlo: Parallel Monte Carlo simulation framework
ParallelMovingStats: Parallel moving statistics (rolling mean, std, etc.)
ParameterSnapshot: Parameter snapshot for tracking changes
PerformanceBaseline: Performance baseline data for a specific function and platform
PerformanceMeasurement: Individual performance measurement
PerformanceRecommendation: Performance optimization recommendations
PersistenceDiagram: Persistence diagram representation
PlatformComparison: Platform comparison information
PlatformInfo: Platform information for cross-platform comparison
PredictiveConfig: Predictive memory management configuration
ProfiledStatistics: Memory-efficient statistical operations with profiling
QAEResults: Quantum amplitude estimation results
QClusteringResults: Quantum clustering results
QNNResults: Quantum neural network results
QPCAResults: Quantum PCA results
QSVMResults: Quantum SVM results
QuantumAdvantageMetrics: Quantum advantage metrics
QuantumConfig: Configuration for quantum-inspired statistical methods
QuantumEnsembleResult: Results from quantum ensemble learning
QuantumModel: Quantum model representation
QuantumMonteCarloResult: Results from quantum Monte Carlo integration
QuantumPerformanceMetrics: Performance metrics for quantum algorithms
QuantumResults: Results from quantum-inspired analysis
QuantumVariationalResult: Results from quantum variational inference
RegressionAnalysisResult: Performance regression analysis results
RegressionReport: Overall regression report
RegressionSummaryStatistics: Summary statistics for regression report
RingBufferStats: Ring buffer for streaming statistics with fixed memory usage
RobustGMM: Robust Gaussian Mixture Model with outlier detection
RobustStats: Robust statistics structure
RollingStatsResult: Results container for rolling statistics
SimdConfig: SIMD configuration for optimal performance
Simplex: Simplex representation
SimplicialChain: Simplicial chain representation
SimplicialComplex: Simplicial complex representation
SlidingWindowStats: Sliding window statistics structure
SpectralPeak: Spectral peak characteristics
SpectralPerformanceMetrics: Performance metrics for spectral analysis
StatisticsCache: Memory-efficient cache for statistical computations
StreamingAnalyticsResult: Results from streaming analytics operations
StreamingCovariance: Streaming covariance matrix computation
StreamingGMM: Streaming/Online Gaussian Mixture Model
StreamingHistogram: Memory-efficient histogram computation
StreamingPerformanceMetrics: Performance metrics for streaming operations
StreamingRecommendation: Recommendations for optimizing streaming performance
StreamingStatistics: Real-time statistical metrics for streaming data
SurvivalEnsembleConfig: Ensemble configuration
SurvivalPrediction: Survival prediction results
TemperingConfig: Parallel tempering configuration
TensorConfig: Tensor analysis configuration
TensorNetworkResults: Tensor network results
TopologicalConfig: Configuration for topological data analysis
TopologicalInferenceResults: Topological statistical inference results
TopologicalPerformanceMetrics: Performance metrics for topological analysis
TopologicalResults: Topological analysis results
TrendAnalysis: Trend analysis for performance over time
V4ComprehensiveStats: Comprehensive statistical summary structure
V6BootstrapResult: Bootstrap analysis result
V6ComprehensiveStats: Comprehensive statistics result
V6MatrixStatsResult: Matrix statistics result
VQEResults: VQE results
WaveletConfig: Wavelet analysis configuration
WaveletResults: Wavelet analysis results

Enums§

AFTDistribution: Accelerated Failure Time distributions
ActivationFunction: Activation functions for neural networks
ActivationType: Activation functions for Bayesian neural networks
AdvancedPrior: Advanced prior specifications
AlgorithmChoice
AllocationStrategy: Memory allocation strategy selection
AnomalyDetectionAlgorithm: Anomaly detection algorithms
AnomalySeverity: Anomaly severity levels
BandwidthMethod: Bandwidth selection methods
BootstrapStatistic: Types of statistics that can be bootstrapped
CacheOptimizationStrategy: Cache optimization strategies
ChangePointAlgorithm: Change point detection algorithms
ClusteringAlgorithm: Advanced clustering algorithms
CoeffientField: Coefficient fields for homology computation
CompressionAlgorithm: Compression algorithms for streaming data
ConvergenceReason: Convergence reasons
CovarianceConstraint: Covariance constraints
CovarianceType: Covariance matrix types
DataEncodingMethod: Data encoding methods for quantum circuits
DimensionalityReductionMethod: Advanced dimensionality reduction methods
DistanceMetric: Distance metrics for point cloud analysis
Either: The enum Either with variants Left and Right is a general purpose sum type with two cases.
FilterFunction: Filter functions for Mapper algorithm
FiltrationType: Filtration types for building complexes
ICAAlgorithm: ICA algorithms
InitializationMethod: Initialization methods
InstructionSet: Supported instruction sets
KernelType: Kernel types for KDE
MLModelType: Types of incremental ML models
MatrixOperation: Types of matrix operations that can be computed
MemoryAlgorithmChoice
MemoryAlignment: Memory alignment preferences
MemoryPattern: Memory access pattern optimization
ModelSelectionCriterion: Model selection criteria
ModelType: Model types for Bayesian analysis
NumericalStabilityLevel: Numerical stability levels
PCAVariant: PCA variants
ParallelStrategy: Parallel processing strategy
PersistenceAlgorithm: Algorithms for persistent homology computation
PrefetchStrategy: Prefetch strategies for memory access
ProfilingLevel: Performance profiling levels
QuantileInterpolation: Methods for interpolating quantiles
QuantumClusteringAlgorithm: Quantum clustering algorithms
QuantumFeatureEncoding: Quantum feature encoding methods
QuantumFeatureMap: Quantum feature map types
QuantumKernelType: Types of quantum kernels
QuantumMeasurementBasis: Quantum measurement basis
RegressionStatus: Regression detection status
RegressionTrendDirection: Direction of performance trend
RollingStatistic: Types of rolling statistics that can be computed
SamplingMethod: Advanced sampling methods
SpectralActivationFunction: Activation functions for neural networks
SpectrogramType: Spectrogram types
StreamProcessingMode: Stream processing modes
SurvivalActivationFunction: Activation functions for neural networks
SurvivalModel: Survival model container
SurvivalModelType: Advanced survival model types
TensorDecomposition: Tensor decomposition methods
TensorNetworkType: Tensor network types
V5KernelType: Types of kernel functions for density estimation
VQEAnsatz: VQE ansatz types
VectorStrategy: Vector register optimization strategies
VectorizationLevel: Vectorization aggressiveness levels
WaveletType: Wavelet types for time-frequency analysis
WindowFunction: Window functions for spectral analysis
WindowingStrategy: Windowing strategies for streaming data

Traits§

AdvancedSimdOps: Specialized SIMD operations for advanced statistics
AdvancedTarget: Advanced-advanced target distribution interface

Functions§

advanced_comprehensive_simd
advanced_mean_f32: Computes advanced-high-performance statistics for single-precision floating-point data.
advanced_mean_f64: Convenience functions for different precision types
advanced_mean_simd: High-level convenience functions
advanced_std_simd
batch_correlations_parallel: Parallel batch correlation computation
batch_normalize_simd: SIMD-optimized batch normalization
benchmark_mixture_models: Performance benchmarking for mixture models
bootstrap_mean_simd: SIMD-optimized bootstrap statistics
bootstrap_parallel: Bootstrap resampling in parallel
bootstrap_parallel_advanced
bootstrap_parallel_enhanced: Parallel bootstrap resampling
boxplot_stats: Compute boxplot statistics for a dataset.
cache_oblivious_matrix_mult: Cache-oblivious matrix multiplication for large correlation computations
coef_variation: Compute the coefficient of variation (CV) of a dataset.
coefficient_of_variation_simd: SIMD-optimized coefficient of variation
comprehensive_stats_simd: SIMD-optimized comprehensive statistical summary
corrcoef: Compute a correlation matrix for a set of variables.
corrcoef_matrix_simd: SIMD-optimized matrix multiplication for correlation matrices
corrcoef_memory_aware: Memory-aware correlation matrix computation
corrcoef_parallel: Compute correlation matrix in parallel
corrcoef_parallel_enhanced: Parallel and SIMD-optimized correlation matrix computation
corrcoef_simd: Compute correlation matrix using SIMD operations
correlation_matrix_parallel_advanced
cosine_distance_simd: SIMD-optimized cosine distance computation
covariance_chunked: Memory-efficient covariance matrix computation
covariance_matrix_simd: SIMD-optimized batch covariance matrix computation
covariance_simd: Compute covariance using SIMD operations
cox_regression
create_adaptive_memory_manager: Factory functions
create_advanced_simd_processor: Convenience functions for creating optimized SIMD processors
create_advanced_streaming_processor: Convenience function to create an advanced streaming processor
create_optimized_memory_manager
create_performance_optimized_simd_processor: Create an advanced-enhanced SIMD processor optimized for performance
create_regression_detector: Convenience function to create a regression detector with default configuration
create_regression_detector_with_config: Convenience function to create a regression detector with custom configuration
create_stability_optimized_simd_processor: Create an advanced-enhanced SIMD processor optimized for numerical stability
create_streaming_processor_with_config: Convenience function to create a streaming processor with custom configuration
data_range: Compute the range of a dataset.
deciles: Compute the deciles of a dataset.
descriptive_stats_simd: Calculate multiple descriptive statistics in a single pass using SIMD
detect_outliers_zscore_simd: SIMD-optimized outlier detection using z-score method
distance_matrix_simd: SIMD-optimized distance matrix computation
euclidean_distance_simd: SIMD-optimized Euclidean distance computation
exponential_moving_average_simd: SIMD-optimized exponential moving average
gaussian_mixture_model: Convenience functions
gini_coefficient: Compute the Gini coefficient of a dataset.
gini_simd: SIMD-optimized Gini coefficient
gmm_cross_validation: Cross-validation for GMM hyperparameter tuning
gmm_model_selection: Advanced model selection for GMM
hierarchical_gmm_init: Hierarchical clustering-based mixture model initialization
histogram_simd: SIMD-optimized histogram computation
icc: Calculates the intraclass correlation coefficient (ICC) with confidence intervals.
iqr: Compute the interquartile range (IQR) of a dataset.
iqr_simd: SIMD-optimized Interquartile Range (IQR)
kaplan_meier: Convenience functions
kde_parallel: Parallel kernel density estimation
kendall_tau: Compute the Kendall tau correlation coefficient between two arrays.
kendalltau: Calculates the Kendall tau rank correlation coefficient and p-value.
kernel_density_estimation
kurtosis: Compute the kurtosis of a data set.
kurtosis_compatDeprecated: Backward compatibility: Compute the kurtosis without specifying workers parameter.
linear_regression_simd: SIMD-optimized linear regression
log_rank_test: Log-rank test for comparing survival curves
mad_simd: SIMD-optimized Mean Absolute Deviation (MAD)
manhattan_distance_simd: SIMD-optimized Manhattan distance computation
mean: Compute the arithmetic mean of a data set.
mean_abs_deviation: Compute the mean absolute deviation (MAD) of a dataset.
mean_parallel: Compute mean in parallel for large arrays
mean_parallel_advanced: High-level convenience functions
mean_parallel_enhanced: Enhanced parallel mean computation
mean_simd: Calculate the mean of an array using SIMD operations when available
mean_simd_optimized: Optimized mean calculation using SIMD with chunked processing
mean_zero_copy: Zero-copy mean calculation using views
median: Compute the median of a data set.
median_abs_deviation: Compute the median absolute deviation (MAD) of a dataset.
median_abs_deviation_simd: SIMD-optimized median absolute deviation from median (MAD)
median_simd: SIMD-optimized median computation
moment: Compute the moment of a distribution.
moment_compatDeprecated: Backward compatibility: Compute the moment without specifying workers parameter.
normalize_inplace: In-place normalization (standardization) of data
outlier_detection_zscore_simd: SIMD-optimized outlier detection using Z-score
pairwise_distances_parallel: Parallel computation of pairwise distances
partial_corr: Compute the partial correlation coefficient between two variables, controlling for one or more additional variables.
partial_corrr: Calculates the partial correlation coefficient and p-value.
pca_memory_efficient: Memory-efficient principal component analysis
pearson_r: Compute the Pearson correlation coefficient between two arrays.
pearson_r_simd: Compute the Pearson correlation coefficient using SIMD operations
pearson_r_simd_enhanced: SIMD-enhanced Pearson correlation computation
pearsonr: Calculates the Pearson correlation coefficient and p-value for testing non-correlation.
percentile: Compute the percentile of a dataset.
percentile_range_simd: SIMD-optimized percentile range
percentile_simd: SIMD-optimized percentile computation
point_biserial: Compute the point-biserial correlation coefficient between a binary variable and a continuous variable.
point_biserialr: Calculates the point-biserial correlation coefficient and p-value.
quantile: Compute the quantile of a dataset.
quantile_quickselect: Memory-efficient quantile computation using quickselect
quantile_simd: SIMD-optimized quantile computation
quantiles_batch_simd: SIMD-optimized quantile computation using partitioning
quantiles_parallel: Compute multiple quantiles in parallel
quantiles_simd: SIMD-optimized computation of multiple quantiles
quartiles: Compute the quartiles of a dataset.
quickselect_simd: SIMD-optimized quickselect algorithm for finding the k-th smallest element
quintiles: Compute the quintiles of a dataset.
range_simd: SIMD-optimized range calculation
robust_statistics_simd: SIMD-optimized robust statistics computation
robust_stats_v4_simd: SIMD-optimized robust statistics using median-based methods
rolling_correlation_parallel: Rolling correlation computation with parallel processing
rolling_statistics_simd: SIMD-optimized rolling statistics with configurable functions
row_statistics_parallel: Compute row-wise statistics in parallel
sem_simd: SIMD-optimized standard error of the mean
skew: Compute the skewness of a data set.
skew_compatDeprecated: Backward compatibility: Compute the skewness without specifying workers parameter.
sliding_window_stats_simd: SIMD-optimized sliding window statistics
spearman_r: Compute the Spearman rank correlation coefficient between two arrays.
spearmanr: Calculates the Spearman rank correlation coefficient and p-value.
stats_simd_single_pass: Compute all basic statistics in a single SIMD pass
std: Compute the standard deviation of a data set.
std_compatDeprecated: Backward compatibility: Compute the standard deviation without specifying workers parameter.
std_simd: Calculate standard deviation using SIMD operations
streaming_covariance_matrix: Streaming covariance computation for large datasets
streaming_histogram_adaptive: Enhanced streaming histogram computation with adaptive binning
streaming_mean: Streaming mean calculation that processes data in chunks
streaming_pca_enhanced: Streaming principal component analysis for very large datasets
streaming_quantiles_p2: Memory-efficient streaming quantile computation using P² algorithm
streaming_regression_enhanced: Enhanced streaming regression for large datasets with regularization
ttest_ind_simd: SIMD-optimized t-test computation
var: Compute the variance of a data set.
var_compatDeprecated: Backward compatibility: Compute the variance without specifying workers parameter.
variance_cache_aware: Cache-friendly variance computation
variance_parallel: Compute variance in parallel for large arrays
variance_parallel_advanced
variance_parallel_enhanced: Parallel variance with single-pass algorithm
variance_simd: Calculate variance using SIMD operations
variance_simd_optimized: Optimized variance calculation using single-pass SIMD algorithm
weighted_mean: Compute the weighted average of a data set.
welford_variance: Welford’s online algorithm for variance computation
winsorized_mean: Compute the winsorized mean of a dataset.
winsorized_variance: Compute the winsorized variance of a dataset.

Type Aliases§

F32AdaptiveMemoryManager
F32AdvancedSimdProcessor
F64AdaptiveMemoryManager: Convenient type aliases
F64AdvancedSimdProcessor

Crate scirs2_stats

Crate scirs2_stats Copy item path

§Overview

§Examples

§Descriptive Statistics

§Correlation Measures

§Dispersion Measures

§Statistical Distributions

§Statistical Tests

§Random Number Generation

§Statistical Sampling

Re-exports§

Modules§

Macros§

Structs§

Enums§

Traits§

Functions§

Type Aliases§

Crate scirs2_stats