Re: how to project multivariate Gaussian to a lower dimension?
- From: Jack Tomsky <jtomsky@xxxxxxxxxxxxx>
- Date: Tue, 06 Nov 2007 16:35:33 EST
hi, there
If I have a n-dimensional Gaussian and I want to
project it to n-1
dimension (and I know which variable needs to drop
off), do I just
need to delete the row and column where the drop off
variable stands
in the n by n covariant matrix? (of cause drop that
from the mean
too). Thanks for your help.
zl2k
Yes. What you've described gives you the (n-1)-dimensional normal marginal distribution. If, however, you were interested in the conditional distribution of X1, ..., Xn-1 given Xn = xn, that would be a different solution.
Jack
.
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