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November 2009

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Subject:
From:
Yakir Gagnon <[log in to unmask]>
Reply To:
Classification, clustering, and phylogeny estimation
Date:
Sun, 29 Nov 2009 23:44:07 +0100
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Hi everybody,

Hope someone can help me or point me to the right direction:

I have some function f(x) with some predefined domain (say zero to one: 0 <=
x <= 1). I want to calculate the function that describes its histogram.

So if I choose say 100 discrete values for x (all within its domain), I get
100 values for y (y = f(x)). I choose some bin size and get my histogram
that describes y's distribution.
I can then try and choose a billion discrete values and some smaller bin
size and get a "better" approximation of that histogram.
What I wonder is:
*
Is there no formal way to analytically calculate what the histogram is for
the independent variable of a given function?*

Thanks tons!

Yakir L. Gagnon, PhD student
The Lund Vision Group
Tel  +46 (046) 222 93 40
Cell +46 (073) 753 63 54
Fax +46 (046) 222 44 25
http://www.lu.se/o.o.i.s/7758

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