Struct CauchyDistribution 

pub struct CauchyDistribution {
    pub location: f64,
    pub scale: f64,
    pub distribution_name: String,
    pub description: String,
}

Parameters of a Cauchy distribution.

A heavy-tailed, symmetric distribution with undefined mean and variance, centred at location with half-width-at-half-maximum scale.

Fields

location: f64

Location parameter x₀; the median and mode of the distribution.

scale: f64

Scale parameter γ; must be > 0. The half-width at half-maximum.

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 CauchyDistribution

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

Evaluates the cumulative distribution function at x.

impl Clone for CauchyDistribution

fn clone(&self) -> CauchyDistribution

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for CauchyDistribution

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

Formats the value using the given formatter.

impl Default for CauchyDistribution

fn default() -> CauchyDistribution

Returns the “default value” for a type.

impl Moments for CauchyDistribution

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

Undefined — the Cauchy integral for the mean does not converge.

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

Undefined — the Cauchy second moment does not converge.

impl Pdf for CauchyDistribution

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

Evaluates the probability density function at x.

impl Quantile for CauchyDistribution

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

Evaluates the quantile (inverse CDF) at probability p.

impl Sample for CauchyDistribution

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

Draws one variate, advancing rng.