Struct Uniform 

pub struct Uniform { /* private fields */ }

Continuous uniform distribution on [a, b].

The uniform distribution has constant PDF on the interval [a, b]:

f(x) = 1 / (b - a) for a ≤ x ≤ b

Examples

use solvr::stats::{Uniform, ContinuousDistribution, Distribution};

// Standard uniform U(0, 1)
let u = Uniform::standard();
assert!((u.pdf(0.5) - 1.0).abs() < 1e-10);
assert!((u.cdf(0.5) - 0.5).abs() < 1e-10);

// Custom uniform U(2, 8)
let u = Uniform::new(2.0, 8.0)?;
assert!((u.mean() - 5.0).abs() < 1e-10);

Implementations

impl Uniform

pub fn new(a: f64, b: f64) -> StatsResult<Self>

Create a new uniform distribution on [a, b].

Errors

Returns an error if a >= b or if bounds are not finite.

pub fn standard() -> Self

Create a standard uniform distribution U(0, 1).

pub fn a(&self) -> f64

Get the lower bound.

pub fn b(&self) -> f64

Get the upper bound.

Trait Implementations

impl Clone for Uniform

fn clone(&self) -> Uniform

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl ContinuousDistribution for Uniform

fn pdf(&self, x: f64) -> f64

Probability density function.

fn log_pdf(&self, x: f64) -> f64

Log of the probability density function.

fn cdf(&self, x: f64) -> f64

Cumulative distribution function.

fn sf(&self, x: f64) -> f64

Survival function.

fn ppf(&self, p: f64) -> StatsResult<f64>

Percent point function (quantile function / inverse CDF).

fn pdf_tensor<R: Runtime, C>( &self, x: &Tensor<R>, client: &C, ) -> Result<Tensor<R>>

where C: TensorOps<R> + ScalarOps<R> + RuntimeClient<R>,

Batch probability density function.

fn log_pdf_tensor<R: Runtime, C>( &self, x: &Tensor<R>, client: &C, ) -> Result<Tensor<R>>

where C: TensorOps<R> + ScalarOps<R> + RuntimeClient<R>,

Batch log probability density function.

fn cdf_tensor<R: Runtime, C>( &self, x: &Tensor<R>, client: &C, ) -> Result<Tensor<R>>

where C: TensorOps<R> + ScalarOps<R> + SpecialFunctions<R> + RuntimeClient<R>,

Batch cumulative distribution function.

fn sf_tensor<R: Runtime, C>( &self, x: &Tensor<R>, client: &C, ) -> Result<Tensor<R>>

where C: TensorOps<R> + ScalarOps<R> + SpecialFunctions<R> + RuntimeClient<R>,

Batch survival function.

fn log_cdf_tensor<R: Runtime, C>( &self, x: &Tensor<R>, client: &C, ) -> Result<Tensor<R>>

where C: TensorOps<R> + ScalarOps<R> + SpecialFunctions<R> + RuntimeClient<R>,

Batch log cumulative distribution function.

fn ppf_tensor<R: Runtime, C>( &self, p: &Tensor<R>, client: &C, ) -> Result<Tensor<R>>

where C: TensorOps<R> + ScalarOps<R> + SpecialFunctions<R> + RuntimeClient<R>,

Batch percent point function (quantile function / inverse CDF).

fn isf_tensor<R: Runtime, C>( &self, p: &Tensor<R>, client: &C, ) -> Result<Tensor<R>>

where C: TensorOps<R> + ScalarOps<R> + SpecialFunctions<R> + RuntimeClient<R>,

Batch inverse survival function.

fn log_cdf(&self, x: f64) -> f64

Log of the cumulative distribution function.

fn isf(&self, p: f64) -> StatsResult<f64>

Inverse survival function.

fn interval(&self, alpha: f64) -> StatsResult<(f64, f64)>

Interval containing a given probability mass.

impl Debug for Uniform

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Distribution for Uniform

fn mean(&self) -> f64

Get the mean of the distribution.

fn var(&self) -> f64

Get the variance of the distribution.

fn entropy(&self) -> f64

Get the Shannon entropy of the distribution (in nats).

fn median(&self) -> f64

Get the median of the distribution.

fn mode(&self) -> f64

Get the mode of the distribution.

fn skewness(&self) -> f64

Get the skewness of the distribution.

fn kurtosis(&self) -> f64

Get the excess kurtosis of the distribution.

fn std(&self) -> f64

Get the standard deviation of the distribution.

impl Copy for Uniform