Struct mathru::statistics::distrib::Binomial

pub struct Binomial<T> { /* fields omitted */ }

Binomial distribution

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

Implementations

impl<T> Binomial<T>

pub fn new(n: u32, p: T) -> Binomial<T>

Create a probability distribution with

Arguments

• p Probability that random variable, p ∈ [0, 1]
• n number of trials, n ∈ ℕ

Panics

if p < 0 || p > 1.0

Example

use mathru::statistics::distrib::Binomial;

let distrib: Binomial<f64> = Binomial::new(5, 0.3);

Trait Implementations

impl<T> Discrete<T, u32, T> for Binomial<T> where
    T: Real, 

fn pmf<'a>(&'a self, x: u32) -> T

Probability mass function

Arguments

• x Random variable x &isin ࡃ

Example

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

let distrib: Binomial<f64> = Binomial::new(5, 0.3);
let x: u32 = 0;
let p: f64 = distrib.pmf(x);

fn cdf<'a>(&'a self, x: T) -> T

Cumulative distribution function

Arguments

• x Random variable

Example

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

let distrib: Binomial<f64> = Binomial::new(5, 0.3);
let x: f64 = 0.4;
let p: f64 = distrib.cdf(x);

fn mean<'a>(&'a self) -> T

Expected value

Example

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

let distrib: Binomial<f64> = Binomial::new(5, 0.3);
let mean: f64 = distrib.mean();

fn variance<'a>(&'a self) -> T

Variance

Example

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

let distrib: Binomial<f64> = Binomial::new(5, 0.3);
let var: f64 = distrib.variance();