Thanks for your comments, Leonid. 

To paraphrase your main argument: 7 negative eigenvalues mean 7 values close
to zero, so we have a highly over-parameterized system. While I fear it's
correct (I could not get untrendy CWRES otherwise), let's take Robert's
argument to the extreme:

Simplified, from an SAEM fit we have 
Most negative value= -6.
Most positive value= 8879

I used the original number divided by 10000 for easier reading.  As Robert
argues, the negative value is the result of the statistical approach. So by
a quirk of the procedure, the mode of the distribution could be 0.01, 0.1,
but also +10. If the latter value were true, we would be close to a
reasonably conditioned matrix.

Is this argument valid, just in theory?

I know it's not valid for my data, because I run several repeats this night
and things tend to the worse.

Dieter

(working together with Andreas Steingötter, Zürich, and Rickmer Braren,
Munich)




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