On Thu, 05 Dec 2002 22:24:29 +0000, R. Martin wrote:

>> Now, in my case, I have a known mean (zero) and unknown variance, meaning
>> that my situation is somewhere in between Kolmogorov-Smirnov and
>> Lilliefors. Is there a separate test for this?
> Not that I know of, but there's a lot of things I don't know. :-)

That doesn't matter. Unless you ought to know of it, ofcourse... But that
would imply it exist.

> I'd run both using your known mean and an estimate of the variance
> and see what the results are.  If your set passes both with flying
> colors I wouldn't worry about it.  If both are marginal or it

That is true ofcourse. It very likely passes either both or none. But in a
more academic context, I was interested in it. Lilliefors states that
there is a 2/3 relationship between his values and the KS ones. I am
wondering how much of that can be accounted to the estimation of the mean,
and how much of it is due to estimating the standard deviation.

> fails one then maybe you need to examine the situation further.
> Here's a reference about an order statistic I developed which can
> be used to test data against assumed distributions: Martin, R. L.,
> "A Statistic Useful for Characterizing Probability Distributions,
> with Application to Rain Rate Data", J. Appl. Meteor., 28, 354 (1989).
> I don't know if it would be useful in your case or not.  I could
> send you a reprint if you don't have access to _Journal of Applied
> Meteorology_.

Our library seems to carry that journal. Maybe I'll look it up. Thanks for
the help!

Regards,
Koen Vermeer
.
.
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