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lndMvn computes the log of a Multivariate Normal Density.
lndMvn
lndMvn(x, mu, rooti)
density ordinate
mu vector
inv of Upper Triangular Cholesky root of \(\Sigma\)
log density value
This routine is a utility routine that does not check the input arguments for proper dimensions and type.
\(z\) \(\sim\) \(N(mu,\Sigma)\)
For further discussion, see Bayesian Statistics and Marketing by Rossi, Allenby and McCulloch, Chapter 2. http://www.perossi.org/home/bsm-1
lndMvst
## Sigma=matrix(c(1,.5,.5,1),ncol=2) lndMvn(x=c(rep(0,2)),mu=c(rep(0,2)),rooti=backsolve(chol(Sigma),diag(2)))
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