comparison toolboxes/FullBNT-1.0.7/KPMstats/student_t_logprob.m @ 0:e9a9cd732c1e tip

first hg version after svn
author wolffd
date Tue, 10 Feb 2015 15:05:51 +0000
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comparison
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-1:000000000000 0:e9a9cd732c1e
1 function L = log_student_pdf(X, mu, lambda, alpha)
2 % LOG_STUDENT_PDF Evaluate the log of the multivariate student-t distribution at a point
3 % L = log_student_pdf(X, mu, lambda, alpha)
4 %
5 % Each column of X is evaluated.
6 % See Bernardo and Smith p435.
7
8 k = length(mu);
9 assert(size(X,1) == k);
10 [k N] = size(X);
11 logc = gammaln(0.5*(alpha+k)) - gammaln(0.5*alpha) - (k/2)*log(alpha*pi) + 0.5*log(det(lambda));
12 middle = (1 + (1/alpha)*(X-mu)'*lambda*(X-mu)); % scalar version
13 L = logc - ((alpha+k)/2)*log(middle);