Struct mathru::statistics::distrib::Exponential

pub struct Exponential { /* fields omitted */ }

Exponential distribution

Fore more information: https://en.wikipedia.org/wiki/Exponential_distribution

Methods

impl Exponential

pub fn new(lambda: &f64) -> Exponential

Creates a probability distribution

Arguments

• lambda > 0.0

Panics

if lambda <= 0.0

Example

use mathru::statistics::distrib::Exponential;

let distrib: Exponential = Exponential::new(&0.3);

pub fn from_data<'a>(data: &'a Vec<f64>) -> Self

impl Exponential

pub fn random(&self) -> f64

Trait Implementations

impl Continuous<f64, f64> for Exponential

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

Probability density function

Arguments

• x Random variable x ∈ &#x2115 | x > 0.0

Example

use mathru::statistics::distrib::{Continuous, Exponential};

let distrib: Exponential = Exponential::new(&0.3);
let x: f64 = 5.0;
let p: f64 = distrib.pdf(x);

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

Cumulative distribution function

Arguments

• x Random variable

Example

use mathru::statistics::distrib::{Continuous, Exponential};

let distrib: Exponential = Exponential::new(&0.3);
let x: f64 = 0.4;
let p: f64 = distrib.cdf(x);

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

Quantile function of inverse cdf

fn mean<'a>(&'a self) -> f64

Expected value

Example

use mathru::statistics::distrib::{Discrete, Bernoulli};

let distrib: Bernoulli = Bernoulli::new(0.2);
let mean: f64 = distrib.mean();

fn variance<'a>(&'a self) -> f64

Variance

Example

use mathru::statistics::distrib::{Discrete, Bernoulli};

let distrib: Bernoulli = Bernoulli::new(0.2);
let var: f64 = distrib.variance();