File:2d-chi-squared-cdf.svg
Summary
| Description |
English: Cumulative distribution functions of chi squared distributed random variables with different degrees of freedom k
Deutsch: Verteilungsfunktion von Chi-Quadrat verteilten Zufallsvariablen mit verschiedenen Freiheitsgraden k |
| Date | |
| Source | Own work |
| Author | MartinThoma |
 Mathematical Function Plot | |
|---|---|
| Description | Plot of the Cumulative distribution functions (cdf) of chi squared distributed random variables with 6 different degrees of freedom k |
| Equation | |
| Coordinate System | Cartesian |
| Range | 0 .. 8 |
| Range | 0 .. 1 |
This file was created with LaTeX (TikZ), starting with my TikZ template:
\documentclass[border=2pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}
\usepackage{tikz}
\usepackage{xcolor}
\definecolor{yellow}{HTML}{cccc00}
\definecolor{neongreen}{HTML}{00dd00}
\definecolor{turquoise}{HTML}{00cccc}
\definecolor{lila}{HTML}{aa00aa}
\begin{document}
\pgfplotscreateplotcyclelist{mylist}{%
{yellow},
{neongreen, densely dashed},
{turquoise, dashed},
{blue,densely dotted},
{lila,dotted},
{red,loosely dotted},
{black}}
\begin{tikzpicture}
\begin{axis}[
title=$\chi^2_k$,
legend style={at={(0.95, 0.95), anchor=north west}},
axis x line=middle,
axis y line=middle,
grid = major,
width = 16cm,
height= 9cm,
grid style={dashed, gray!30},
domain = 0.01:8,
restrict y to domain = 0:1,
axis background/.style={fill=white},
xlabel=$x$,
ylabel=$F_k(x)$,
tick align=outside,
enlargelimits=true,
every axis plot/.append style={very thick},
cycle list name=mylist
]
\foreach \k in {1, 2, 3, 4, 6, 9} {%
\addplot+[mark={}] gnuplot[raw gnuplot] {%
igamma2(a,x) = igamma(a,x)*gamma(a);
chisq(x,k)=igamma2(k/2.0, x/2.0) / gamma(k/2.0);
set xrange [1.00000e-5:8];
set yrange [0.00000:1.0];
samples=800;
plot chisq(x,\k)};
\addlegendentryexpanded{$k = \k$}}
\end{axis}
\end{tikzpicture}
\end{document}
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
  |
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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