Hi!

I am a PhD student in EE from Germany with only limited background in
statistics. 
My question is related to model selection:

Model selection techniques like AIC try to find the best fitting model
given a single sample. However, I want to compare the fit of a single
model (family), e.g. bivariate Gaussian, to different datasets. These
datasets are derived from a higher dimensional sample by different
(fixed) projections. 

What methods (model selection criteria) are appropriate in that case?
Are likelihood based criteria allowed after a suitable normalization of
the samples?

I appreciate any help, thanks in advance!

Bernd Menser


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