File:Multivariate Gaussian.png
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[edit]Probability density function for the multivariate normal distribution
Octave source under GPL:
% mu = [40; 60]; % sigma = [100, 30; 30, 140];
isigma = inv(sigma); detsigma = det(sigma); coeff = 1/(2*pi*sqrt(detsigma)); for i=1:100 for j=1:100 x = [i;j]; xm = x - mu; p(i,j) = exp(-0.5*xm'*isigma*xm); end end p = p*coeff;
gnuplot source under GPL:
set xlabel "X" set ylabel "Y" set title "Multivariate Normal Distribution" 0, -5 set ticslevel 0 unset key set style line 100 lt 5 lw 0.5 set pm3d solid hidden3d 100 set palette defined (0 0 0 1, 1 0.5 0.5 1, 3 1 1 1) unset surface set terminal png font "Arial" 16 size 1280, 800 set output "mvnd.png" splot 'p'
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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 |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 12:57, 9 October 2006 | 1,280 × 800 (37 KB) | Piotrg~commonswiki (talk | contribs) | Probability density function for the multivariate normal distribution Created using Octave <nowiki> % mu = [40; 60]; % sigma = [100, 30; 30, 140]; isigma = inv(sigma); detsigma = det(sigma); coeff = 1/(2*pi*sqrt(detsigma)); for i=1:100 for j=1:100 |
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