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| Description |
English: A plot of the Generalized inverse Gaussian distribution. a, b, and p are described on the Wikipedia page for that distribution as of June 2013. |
| Date | 24 February 2012 (original upload date) |
| Source | Mebden (talk) (Uploads) |
| Author | Mebden (talk) (Uploads) |
MATLAB Source code
x = 0.01:0.01:3; close all, figure, hold on, box off
% Gamma example (note: simpler if b doesn't quite equal zero)
alpha =1; beta =1; a =2*beta; b = 1e-10; p = alpha;
f = (a/b)^(p/2) / (2*besselk(p,sqrt(a*b))) * x.^(p-1) .* exp(-(a*x+b./x)/2);
plot (x,f,'b')
% Inverse Gaussian example
mu = 1; lambda = 1; a=lambda/mu^2; b=lambda; p = -.5;
f = (a/b)^(p/2) / (2*besselk(p,sqrt(a*b))) * x.^(p-1) .* exp(-(a*x+b./x)/2);
plot (x,f,'k')
% Other examples
a=2; b=1; p = 2;
f = (a/b)^(p/2) / (2*besselk(p,sqrt(a*b))) * x.^(p-1) .* exp(-(a*x+b./x)/2);
plot (x,f,'r')
a=2; b=1; p = -1;
f = (a/b)^(p/2) / (2*besselk(p,sqrt(a*b))) * x.^(p-1) .* exp(-(a*x+b./x)/2);
plot (x,f,'g')
legend ('a = 2, b = 0, p = 1', 'a = 1, b = 1, p = -1/2', 'a = 2, b = 1, p = 2', 'a = 2, b = 1, p = -2')
Licensing
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This work has been released into the public domain by its author, Mebden at English Wikipedia. This applies worldwide. In some countries this may not be legally possible; if so: Mebden grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
Original upload log
Transferred from en.wikipedia to Commons by Sfan00_IMG using CommonsHelper.
The original description page was here. All following user names refer to en.wikipedia.
- 2012-02-24 12:36 Mebden 561×420× (5939 bytes) I created this file today using the following Matlab code: x = 0.01:0.01:3; close all, figure, hold on, box off alpha =1; beta =1; a =2*beta; b = 1e-10; p = alpha; % gamma f = (a/b)^(p/2) / (2*besselk(p,sqrt(a*b))) * x.^(p-1) .* exp(-(a*x+b./x)/2); plot
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:45, 24 July 2013 | | 561 × 420 (6 KB) | File Upload Bot (Magnus Manske) | Transfered from en.wikipedia by User:Sfan00_IMG using CommonsHelper |
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