File:GIG distribution pdf.png
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This file was moved to Wikimedia Commons from en.wikipedia using a bot script. All source information is still present. It requires review. Additionally, there may be errors in any or all of the information fields; information on this file should not be considered reliable and the file should not be used until it has been reviewed and any needed corrections have been made. Once the review has been completed, this template should be removed. For details about this file, see below. Check now! |
| 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) |
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
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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
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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) (talk | contribs) | Transfered from en.wikipedia by User:Sfan00_IMG using CommonsHelper |
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