Struct mathru::stats::distrib::Bernoulli

pub struct Bernoulli { /* private fields */ }

Bernoulli distribution

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

Implementations

impl Bernoulli

pub fn new(p: f64) -> Bernoulli

Create a probability distribution with p(X=1) = p

Arguments

• p Probability that random varibale X=1, 0.0 <= p <= 1.0

Panics

if p < 0 || p > 1.0

Example

extern crate mathru;
use mathru::stats::distrib::Bernoulli;

let distrib: Bernoulli = Bernoulli::new(0.2);

Trait Implementations

impl Discrete<u8, f64> for Bernoulli

fn pmf<'a>(&'a self, x: u8) -> f64

Probability mass function of the Bernoulli distribution

Arguments

• x Random variable x ∈ {0, 1}

Panics

if x ∉ {0, 1}

Example

extern crate mathru;
use mathru::stats::distrib::{Discrete, Bernoulli};

let distrib: Bernoulli = Bernoulli::new(0.2);
let x: u8 = 0;
let p: f64 = distrib.pmf(x);

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

Cumulative distribution function of the Bernoulli distribution

Arguments

• x Random variable x ∈ {0, 1}

Example

extern crate mathru;
use mathru::stats::distrib::{Discrete, Bernoulli};

let distrib: Bernoulli = Bernoulli::new(0.2);
let x: f64 = 0.4;
let p: f64 = distrib.cdf(x);

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

Expected value

Example

extern crate mathru;
use mathru::stats::distrib::{Discrete, Bernoulli};

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

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

Variance

Example

extern crate mathru;
use mathru::stats::distrib::{Discrete, Bernoulli};

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