Message-ID: <20894766.post@talk.nabble.com>
Date: 2008-12-08T12:54:04Z
From: Jeroen Ooms
Subject: Multivariate kernel density estimation
I would like to estimate a 95% highest density area for a multivariate
parameter space (In the context of anova). Unfortunately I have only
experience with univariate kernel density estimation, which is remarkebly
easier :)
Using Gibbs, i have sampled from a posterior distirbution of an Anova model
with k means (mu) and 1 common residual variance (s2). The means are
independent of eachother, but conditional on the residual variance. So now I
have a data frame of say 10.000 iterations, and k+1 parameters.
I am especially interested in the posterior distribution of the mu
parameters, because I want to test the support for an inequalty constrained
model (e.g. mu1 > mu2 > mu3). I wish to derive the multivariate 95% highest
density parameter space for the mu parameters. For example, if I had a
posterior distirbution with 2 means, this should somehow result in the
circle or elipse that contains the 95% highest density area.
Is something like this possible in R? All tips are welcome.
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