File:Gamma distribution.svg

From Wikimedia Commons, the free media repository

• File
• File history
• File links

Description	Gamma distribution.svg Probability density function for the Gamma distribution (vector version of Image:Gamma_distribution_pdf.png 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". Afrikaans | Alemannisch | Aragonés | العربية | Asturianu | Беларуская | Беларуская (тарашкевіца) | 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 | Հայերեն | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | ភាសាខ្មែរ | 한국어 | Kurdî / كوردی | Latina | Lëtzebuergesch | Lietuvių | 文言 | Македонски | Bahasa Melayu | Malti | Nnapulitano | Plattdüütsch | Nederlands | ‪Norsk (nynorsk)‬ | ‪Norsk (bokmål)‬ | Occitan | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски / Srpski | Svenska | Kiswahili | తెలుగు | ไทย | Tagalog | Türkçe | Українська | اردو | Vèneto | Tiếng Việt | Volapük | Yorùbá | 中文 | ‪中文(简体)‬ | ‪中文(繁體)‬ | +/− This file is licensed under the Creative Commons Attribution ShareAlike 3.0 License. In short: you are free to share and make derivative works of the file under the conditions that you appropriately attribute it, and that you distribute it only under a license identical to this one. Official license This licensing tag was added to this file as part of the GFDL licensing update. Alemannisch | Català | Česky | Deutsch | Deutsch (Sie-Form) | Ελληνικά | English | Español | Eesti | Suomi | Français | Հայերեն | Hrvatski | Italiano | 한국어 | Lietuvių | Македонски | Polski | Português | Português do Brasil | Русский | Svenska | ไทย | Vèneto | Tiếng Việt | +/− )
Date	8 March 2008(2008-03-08)
Source	derived from GFDL work
Author	Toobaz
Permission (Reusing this image)	GFDL

gnuplot source under GPL:

 _ln_dgamma(x, a, b) = a*log(b) - lgamma(a) + (a-1)*log(x) - b*x
 dgamma(x, shape, rate) =\
  (x<0)? 0 :\
  (x==0)? ((shape<1)? 1/0 : (shape==1)? rate : 0) :\
  (rate==0)? 0 :\
  exp(_ln_dgamma(x, shape, rate))
 pgamma(x, shape, rate) = (x<0)? 0 : igamma(shape, x*rate)
 
 set samples 1001
 set terminal svg
 set output
 
 set xtics 0,2
 set ytics 0,0.1
 
 f(x, k, t) = dgamma(x, k, 1.0/t)
 set key top right
 
 #f(x, k, t) = pgamma(x, k, 1.0/t)
 #set key bottom right
 
 plot [0:20] \
     f(x,1,2.0) title "k = 1, θ = 2.0", \
     f(x,2,2.0) title "k = 2, θ = 2.0", \
     f(x,3,2.0) title "k = 3, θ = 2.0", \
     f(x,5,1.0) title "k = 5, θ = 1.0", \
     f(x,9,0.5) title "k = 9, θ = 0.5" lt 7

This vector image was created with gnuplot.

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 | Eesti | Suomi | Français | Italiano | 日本語 | 한국어 | Lietuvių | Македонски | Plattdüütsch | Nederlands | Polski | Português | Русский | Slovenčina | ไทย | Vèneto | ‪中文(简体)‬ | ‪中文(繁體)‬ | +/−

File history

• Edit this file using an external application (See the setup instructions for more information)

File links