Image:Beta distribution pdf.png

Probability density function for the Beta distribution

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation license, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation license". Aragonés | العربية | Asturianu | Български | বাংলা | ইমার ঠার/বিষ্ণুপ্রিয়া মণিপুরী | Brezhoneg | Bosanski | Català | Cebuano | Česky | Dansk | Deutsch | Ελληνικά | English | Esperanto | Español | Eesti | Euskara | فارسی | Suomi | Français | Gaeilge | Galego | עברית | Hrvatski | Magyar | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | ភាសាខ្មែរ | 한국어 | Kurdî / كوردی | Latina | Lëtzebuergesch | Lietuvių | Bahasa Melayu | Nnapulitano | Nederlands | ‪Norsk (nynorsk)‬ | ‪Norsk (bokmål)‬ | Occitan | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски / Srpski | Svenska | తెలుగు | ไทย | Türkçe | Українська | اردو | Tiếng Việt | Volapük | Yorùbá | ‪中文(中国大陆)‬ | ‪中文(台灣)‬ | +/-

gnuplot source under GPL:

dbeta(x,a,b) = exp((a-1)*log(x)+(b-1)*log(1-x)-lgamma(a)-lgamma(b)+lgamma(a+b))
pbeta(x,a,b) = ibeta(a,b,x)

set samples 1001
set terminal postscript enhanced color solid lw 2 "Times-Roman" 20
set output

set xrange [0:1]
set xtics 0.1

f(x,y,z) = dbeta(x,y,z)
set yrange [0:2.6]
set ytics 0.2
set key 0.61,2.4

#f(x,y,z) = pbeta(x,y,z)
#set ytics 0.1
#set key 0.21,0.94

plot \
    f(x, 0.5,0.5) title "{/Symbol a} = {/Symbol b} = 0.5", \
    f(x, 5,  1)   title "{/Symbol a} = 5, {/Symbol b} = 1", \
    f(x, 1,  3)   title "{/Symbol a} = 1, {/Symbol b} = 3", \
    f(x, 2,  2)   title "{/Symbol a} = 2, {/Symbol b} = 2", \
    f(x, 2,  5)   title "{/Symbol a} = 2, {/Symbol b} = 5" lt 7

This work is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version. This work is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See version 2 and version 3 of the GNU General Public License for more details. العربية | Català | Česky | Deutsch | Ελληνικά | English | Español | فارسی | Français | Italiano | 日本語 | Nederlands | Polski | Português | Русский | Slovenčina | Svenska | Türkçe | ‪中文(简体)‬ | ‪中文(繁體)‬ | +/-

• Probability distribution
• Beta distribution
• List of probability distributions
• User:Qwfp/probdistgallery