Struct mathru::statistics::distrib::Multinomial

pub struct Multinomial { /* fields omitted */ }

Multinomial distribution

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

Methods

impl Multinomial

pub fn new(p: Vector<f64>) -> Multinomial

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::*;
use mathru::algebra::linear::Vector;
use mathru::statistics::distrib::Multinomial;

let distrib: Multinomial = Multinomial::new(vector![0.3; 0.2; 0.5]);

Trait Implementations

impl Discrete<Vector<u32>, Vector<f64>> for Multinomial

fn pmf<'a>(&'a self, x: Vector<u32>) -> f64

Probability mass function

Arguments

• x Random variable x &isin ࡃ

Example

use mathru::*;
use mathru::statistics::distrib::{Discrete, Multinomial};
use mathru::algebra::linear::Vector;

let p: Vector<f64> = vector![0.3; 0.7];
let distrib: Multinomial = Multinomial::new(p);
let x: Vector<u32> = vector![1; 2];
let p: f64 = distrib.pmf(x);

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

Cumulative distribution function

Arguments

• x Random variable

Example

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

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

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

Expected value

Example

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

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

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

Variance

Example

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

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