Struct mathru::statistics::distrib::RaisedCosine

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

Raised Cosine distribution

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

Implementations

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

pub fn new(mu: T, s: T) -> RaisedCosine<T>

Creates a probability distribution

Arguments

• mu
• s > 0.0

Panics

if s < 0.0

Example

use mathru::statistics::distrib::RaisedCosine;
use std::f64::consts::PI;

let mu: f64 = PI;
let s: f64 = 0.5 * PI;
let distrib: RaisedCosine<f64> = RaisedCosine::new(mu, s);

Trait Implementations

impl<T> Continuous<T> for RaisedCosine<T> where
    T: Real, 

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

Probability density function

Arguments

• x Random variable x

Panics

Example

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

let distrib: RaisedCosine<f64> = RaisedCosine::new(-1.2, 1.5);
let x: f64 = 5.0;
let p: f64 = distrib.pdf(x);

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

Cumulative distribution function

Arguments

Example

use mathru::statistics::distrib::{Continuous, RaisedCosine};
use std::f64::consts::PI;

let distrib: RaisedCosine<f64> = RaisedCosine::new(1.0, PI);
let x: f64 = PI / 2.0;
let p: f64 = distrib.cdf(x);

fn quantile<'a, 'b>(&'a self, _p: T) -> T

Quantile function of inverse cdf

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

Expected value

Example

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

let distrib: RaisedCosine<f64> = RaisedCosine::new(-2.0, 0.5);
let mean: f64 = distrib.mean();

fn variance(&self) -> T

Variance

Example

use mathru::statistics::distrib::{Continuous, RaisedCosine};
use std::f64::consts::PI;

let distrib: RaisedCosine<f64> = RaisedCosine::new(2.0, PI);
let var: f64 = distrib.variance();

fn skewness(&self) -> T

fn median(&self) -> T

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

fn entropy(&self) -> T