Image:Gamma distribution pdf.png
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Probability density function for the Gamma distribution
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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 | 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 | 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 | Tagalog | Türkçe | Українська | اردو | Tiếng Việt | Volapük | Yorùbá | 中文(简体) | 中文(繁體) | +/- |
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 postscript enhanced colour solid lw 2 "Times-Roman" 20
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 "{/Times-Italic k} = 1, {/Symbol q} = 2.0", \
f(x,2,2.0) title "{/Times-Italic k} = 2, {/Symbol q} = 2.0", \
f(x,3,2.0) title "{/Times-Italic k} = 3, {/Symbol q} = 2.0", \
f(x,5,1.0) title "{/Times-Italic k} = 5, {/Symbol q} = 1.0", \
f(x,9,0.5) title "{/Times-Italic k} = 9, {/Symbol q} = 0.5" lt 7
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This vector image was created with gnuplot. |
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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 | Français | Italiano | 日本語 | Nederlands | Polski | Português | Русский | Slovenčina | 中文(简体) | 中文(繁體) | +/- |
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العربية | Български | Català | Česky | Dansk | Deutsch | English | Esperanto | Español | Français | Galego | 한국어 | Italiano | Magyar | Lietuvių | Nederlands | 日本語 | Polski | Português | Română | Русский | Suomi | Svenska | Türkçe | Українська | 中文(繁體) | 中文(简体) | +/- |
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 20:34, 10 March 2005 | 1,300×975 (159 KB) | MarkSweep | (new version of PDF and matching CDF) |
| 17:45, 10 March 2005 | 960×720 (135 KB) | Cburnett | (Probability density function for the Gamma distribution {{GFDL}}) |
