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## Main Question or Discussion Point

**need "gauss like" PDF with skewness**

I am looking for a Probability Density Function that has the following properties:

- is defined on R like the gaussian
- has a non null (and non constant) skewness that is controlled by a parameter
- 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?