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[S] confused by cov.mve

To: s-news@wubios.wustl.edu
Subject: [S] confused by cov.mve
From: patrik ohagen <ohagen@sprcore.bidmc.harvard.edu>
Date: Wed, 10 Jun 1998 20:29:48 -0400 (EDT)
In-reply-to: <111FE6BA774D@fasecon.econ.nyu.edu>
Reply-to: patrik ohagen <ohagen@sprcore.bidmc.harvard.edu>
Sender: owner-s-news@wubios.wustl.edu
Dear S-PLUSers

I am using v4.5 on a win95 machine.

I find cov.mve to be a bit confusing. This is my interpretation of what 
is going on:

1) we estimate the minimum volume ellipsoide
2) this ellipsoide is used to detect "outliers"
3) the outliers get weight=0 (other obs get weight=1)
4) the final estimates are calculated with cov.wt(X, wt=weight)

So if no observation is classified as an outlier we would expect the 
cov.mve function and the cov.wt function to give the same estimates, 
right ?

BUT as far as I understand the matrix of squares and crossproducts for 
the cov.mve procedure is normalized by sum(weight)-1 and the other matrix 
of squares and crossproducts is normalized by sum(weights) (i.e. n)

Why ?

cheers, Patrik



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