On Thu, 27 Feb 2003 13:45:51 +0100, David Delgado Gomez
<[EMAIL PROTECTED]> wrote:

> Hello,
> 
> I have the next problem, I would like to find a functional that the
> function space is the probability distribution.
> This functional should be work in this way:
> Normal distribution should be 0(the minimum value) and the highest value
> should be  obtained for distribution that shows 2  gaussians and these
> are as most separate as possible(something as dromedary's humps)

You want something a test for normality,  one which will 
score near 0  for "normal"  and near its maximum for 
something like a dichotomy (even if it is continuous).

Does that wrap it up?

Many of the tests of normality behave that way, more or less.   
The first two tests that I think of have  0 as minimum.  

You won't want a test for skewness, but everything else....   

I guess, specifically following your design, you could 
test for the empty middle -- figure out the P-levels for
fractions that are *outside*  of +/-   1 standard deviation.

--
Rich Ulrich, [EMAIL PROTECTED]
http://www.pitt.edu/~wpilib/index.html
.
.
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