Struct BetaDistribution 

pub struct BetaDistribution {
    pub alpha_parameter: f64,
    pub beta_parameter: f64,
    pub support_lower_bound: f64,
    pub support_upper_bound: f64,
    pub distribution_name: String,
    pub description: String,
}

Parameters of a Beta distribution on a finite interval.

The Beta family models a random proportion or probability. Its density is shaped by two positive parameters and supported on [support_lower_bound, support_upper_bound] (the standard Beta uses [0, 1]).

Fields

alpha_parameter: f64

First shape parameter α; must be > 0. Larger values push mass toward the upper bound.

beta_parameter: f64

Second shape parameter β; must be > 0. Larger values push mass toward the lower bound.

support_lower_bound: f64

Inclusive lower bound of the support; 0.0 for the standard Beta.

support_upper_bound: f64

Inclusive upper bound of the support; 1.0 for the standard Beta.

distribution_name: String

Optional human-readable name; unused by the numerics, defaults to empty.

description: String

Optional human-readable description; unused by the numerics, defaults to empty.

Trait Implementations

impl Cdf for BetaDistribution

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

Evaluates the cumulative distribution function at x.

impl Clone for BetaDistribution

fn clone(&self) -> BetaDistribution

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for BetaDistribution

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

Formats the value using the given formatter.

impl Default for BetaDistribution

fn default() -> BetaDistribution

Returns the “default value” for a type.

impl Moments for BetaDistribution

fn mean(&self) -> Option<f64>

Returns the theoretical mean, or None if it is undefined.

fn variance(&self) -> Option<f64>

Returns the theoretical variance, or None if it is undefined.

impl Pdf for BetaDistribution

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

Evaluates the probability density function at x.

impl Quantile for BetaDistribution

fn quantile(&self, p: f64) -> f64

Evaluates the quantile (inverse CDF) at probability p.

impl Sample for BetaDistribution

fn sample(&self, rng: &mut SplitMix64) -> f64

Draws one variate, advancing rng.