Struct mathru::statistics::distrib::ChiSquared

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

Chi-Squared distribution

Fore more information: https://en.wikipedia.org/wiki/Chi-squared_distribution

Implementations

impl<T> ChiSquared<T> where
    T: Real, 

pub fn new(df: u32) -> ChiSquared<T>

Creates a probability distribution

Arguments

• df: Degree of freedom, df >= 1

Panics

if df < 1

Example

use mathru::statistics::distrib::ChiSquared;

let distrib: ChiSquared<f64> = ChiSquared::new(3);

Trait Implementations

impl<T: Clone> Clone for ChiSquared<T>

pub fn clone(&self) -> ChiSquared<T>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T> Continuous<T> for ChiSquared<T> where
    T: Real + Gamma + Error, 

pub fn pdf(&self, x: T) -> T

Probability density function

Arguments

• x Random variable x ∈ &#x2115

Example

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

let distrib: ChiSquared<f64> = ChiSquared::new(2);
let x: f64 = 5.0;
let p: f64 = distrib.pdf(x);

pub fn cdf(&self, x: T) -> T

Cumulative distribution function

Arguments

• x Random variable

Example

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

let distrib: ChiSquared<f64> = ChiSquared::new(3);
let x: f64 = 0.4;
let p: f64 = distrib.cdf(x);

pub fn quantile(&self, p: T) -> T

Quantile function of inverse cdf

pub fn mean(&self) -> T

Expected value

Example

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

let distrib: ChiSquared<f64> = ChiSquared::new(2);
let mean: f64 = distrib.mean();

pub fn variance(&self) -> T

Variance

Example

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

let distrib: ChiSquared<f64> = ChiSquared::new(2);
let var: f64 = distrib.variance();

pub fn skewness(&self) -> T

Skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean

pub fn median(&self) -> T

Median is the value separating the higher half from the lower half of a probability distribution.

pub fn entropy(&self) -> T

impl<T: Copy> Copy for ChiSquared<T>

impl<T: Debug> Debug for ChiSquared<T>

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

Formats the value using the given formatter.

impl<'de, T> Deserialize<'de> for ChiSquared<T> where
    T: Deserialize<'de>, 

pub fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error> where
    __D: Deserializer<'de>, 

Deserialize this value from the given Serde deserializer.

impl<T> Serialize for ChiSquared<T> where
    T: Serialize, 

pub fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error> where
    __S: Serializer, 

Serialize this value into the given Serde serializer.