Crate u_analytics 

u-analytics

Statistical process control (SPC), process capability analysis, Weibull reliability, and change-point detection.

This crate provides industrial quality analysis tools that are domain-agnostic — they operate on raw f64 data without knowledge of manufacturing, scheduling, or any specific consumer domain.

Modules

• spc — Control charts (X̄-R, X̄-S, I-MR, P, NP, C, U) with run rules
• capability — Process capability indices (Cp, Cpk, Pp, Ppk, Cpm)
• weibull — Weibull parameter estimation (MLE, MRR) and reliability analysis
• detection — Change-point detection (CUSUM, EWMA, PELT)
• smoothing — Time series smoothing (SES, Holt, Holt-Winters)
• correlation — Correlation analysis (Pearson, Spearman, Kendall, matrices)
• regression — Regression analysis (simple, multiple OLS, VIF)
• distribution — Distribution analysis (ECDF, histogram bins, QQ-plot, KS test)
• testing — Hypothesis testing (t-tests, ANOVA, chi-squared, normality)

Design Philosophy

• Domain-agnostic: No manufacturing or process-specific types
• Numerical stability: Leverages u-numflow for stable statistics
• Research-backed: All algorithms reference academic literature

Modules

capability

Process capability analysis.

correlation

Correlation analysis.

detection

Change-point and shift detection.

distribution

Distribution analysis.

regression

Regression analysis.

smoothing

Time series smoothing and forecasting.

spc

Statistical Process Control (SPC) charts.

testing

Hypothesis testing.

weibull

Weibull parameter estimation and reliability analysis.