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Need gauss like PDF with skewness

by loloPF
Tags: gauss like, skewness
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Aug26-05, 02:14 PM
P: 15
I am looking for a Probability Density Function that has the following properties:
  1. is defined on R like the gaussian
  2. has a non null (and non constant) skewness that is controlled by a parameter
  3. degenerates towards the gaussian

At the moment I am using a beta function but it does not meet requirements (1) and (3).

I checked the Pearson system but only the generating differential equation degenerates to that of the gaussian, not its solution... see what I mean?
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Aug27-05, 12:41 AM
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I say, good luck to you. I don't think any of the commonly used distributions satisfy all of the 3 properties.

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