File:Gamma distribution cdf.svg
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[edit]DescriptionGamma distribution cdf.svg | Cumulative distribution function for the Gamma distribution. Related links: *w:Gamma distribution *Image:Gamma distribution pdf.png |
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Spec and Gnuplot Source Code
[edit]For the readers who may be interested in Erlang distribution, please see its cdf on the right. Note that Erlang is a proper subset of Gamma, since its shape parameter only admits integers.
# Author: Autopilot, Ika # Date: 12/08/2014 set term svg size 800,600 font 'Times, 24' enhanced set output 'gamma_dist_cdf.svg' set samples 1001 set xtics 0,2 set ytics 0,0.1 set mxtics 10 set mytics 10 set yrange [0:1.0] set key bottom right # F(x; k, theta) F(x, k, theta) = (x<0)? 0 : igamma(k, x/theta) plot [0:20] \ F(x, 1.0, 2.0) t "k = 1.0, {/Symbol q} = 2.0" lw 2 lc rgb "red", \ F(x, 2.0, 2.0) t "k = 2.0, {/Symbol q} = 2.0" lw 2 lc rgb "orange", \ F(x, 3.0, 2.0) t "k = 3.0, {/Symbol q} = 2.0" lw 2 lc rgb "yellow", \ F(x, 5.0, 1.0) t "k = 5.0, {/Symbol q} = 1.0" lw 2 lc rgb "green", \ F(x, 9.0, 0.5) t "k = 9.0, {/Symbol q} = 0.5" lw 2 lc rgb "black", \ F(x, 7.5, 1.0) t "k = 7.5, {/Symbol q} = 1.0" lw 2 lc rgb "blue", \ F(x, 0.5, 1.0) t "k = 0.5, {/Symbol q} = 1.0" lw 2 lc rgb "purple" set term x11 set output
This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: Recreated as svg with gnuplot. The original can be viewed here: Gamma distribution cdf.png: . Modifications made by Autopilot.
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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.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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.http://www.gnu.org/licenses/gpl.htmlGPLGNU General Public Licensetruetrue |
Original upload log
[edit]This image is a derivative work of the following images:
- File:Gamma_distribution_cdf.png licensed with Cc-by-sa-3.0-migrated, GFDL, GPL
- 2005-03-10T20:34:08Z MarkSweep 1300x975 (178972 Bytes) new version of CDF and matching PDF
- 2005-03-10T20:18:04Z Cburnett 960x720 (146011 Bytes) Cumulative distribution function for the Gamma distribution {{GFDL}}
- 2005-03-10T17:46:02Z Cburnett 960x720 (129377 Bytes) Cumulative distribution function for the Gamma distribution {{GFDL}}
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 23:08, 8 December 2014 | 800 × 600 (115 KB) | IkamusumeFan (talk | contribs) | Enlarge font sizes; Give two more curves to address the cases in which the shape parameter does not take integers. | |
18:37, 26 June 2010 | 800 × 600 (76 KB) | Autopilot (talk | contribs) | {{Information |Description=Related links: *w:Gamma distribution *Image:Gamma distribution pdf.png Cumulative distribution function for the Gamma distribution <pre> _ln_dgamma(x, a, b) = a*log(b) - lgamma(a) + (a-1)*log(x) - b*x dgamma(x, shape, |
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Short title | Gnuplot |
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Image title | Produced by GNUPLOT 4.6 patchlevel 3 |
Width | 800 |
Height | 600 |