File:Gamma distribution.svg

Description

Probability density function for the Gamma distribution (vector version of Image:Gamma_distribution_pdf.png

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Date
Source derived from GFDL work
Author Toobaz
Permission
(Reusing this file)		 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 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.

Category:GPL Category:Gamma distribution Category:Images with Gnuplot source code
Category:CC-BY-SA-3.0-migrated Category:GFDL Category:GPL Category:Gamma distribution Category:Images with Gnuplot source code Category:License migration completed Category:Unspec SVG created with Gnuplot