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mir.stat.distribution.chi2

This module contains algorithms for the Chi-squared Distribution.
License:
Apache-2.0
Authors:
Ilia Ki, John Michael Hall
pure nothrow @nogc @safe T chi2PDF(T)(const T x, const uint k)
if (isFloatingPoint!T);
Computes the Chi-squared probability density function (PDF).
Parameters:
T x value to evaluate PDF
uint k degrees of freedom
See Also:
Chi-squared Distribution
Examples: 
import mir.test: shouldApprox;
0.2.chi2PDF(2).shouldApprox == 0.4524187;
pure nothrow @nogc @safe T chi2CDF(T)(const T x, const uint k)
if (isFloatingPoint!T);
Computes the Chi-squared cumulative distribution function (CDF).
Parameters:
T x value to evaluate CDF
uint k degrees of freedom
See Also:
Chi-squared Distribution
Examples: 
import mir.test: shouldApprox;
0.2.chi2CDF(2).shouldApprox == 0.09516258;
pure nothrow @nogc @safe T chi2CCDF(T)(const T x, const uint k)
if (isFloatingPoint!T);
Computes the Chi-squared complementary cumulative distribution function (CCDF).
Parameters:
T x value to evaluate CCDF
uint k degrees of freedom
See Also:
Chi-squared Distribution
Examples: 
import mir.test: shouldApprox;
0.2.chi2CCDF(2).shouldApprox == 0.9048374;
pure nothrow @nogc @safe T chi2InvCDF(T)(const T p, const uint k)
if (isFloatingPoint!T);
Computes the Chi-squared inverse cumulative distribution function (InvCDF).
Parameters:
T p value to evaluate InvCDF
uint k degrees of freedom
See Also:
Chi-squared Distribution
Examples: 
import mir.test: shouldApprox;
0.09516258.chi2InvCDF(2).shouldApprox == 0.2;
pure nothrow @nogc @safe T chi2LPDF(T)(const T x, const uint k)
if (isFloatingPoint!T);
Computes the Chi-squared probability density function (LPDF).
Parameters:
T x value to evaluate LPDF
uint k degrees of freedom
See Also:
Chi-squared Distribution
Examples: 
import mir.test: shouldApprox;
0.2.chi2LPDF(2).shouldApprox == -0.7931472;