[SciPy-user] skew Gaussian distribution
Gary Pajer
gary.pajer at gmail.com
Thu Aug 23 13:57:58 EDT 2007
On 8/23/07, David Goldsmith <David.L.Goldsmith at noaa.gov> wrote:
>
> Please educate me: what are a "skew" and "kurtotid" Gaussians? (What I
> learned: Gaussians are - by definition - devoid of any
> higher-than-second moments; wouldn't (shouldn't) a "Gaussian" with
> higher-than-second moments be called something else entirely?)
Exactly. So I could rephrase my question: what is the name of the
distribution that is similar to a normal distribution, but has a variable
amount of skewness? Or is such a distribution a special case of one of the
many distributions in scipy?
I *think* the pdf of a "skew normal" should be proportional to exp(-a*x**2
- b*x**3) but that comes from a quick google search.
Better yet: what I'm trying to do is simulate the spectrum of an optical
emitter that I have. The spectrum is nearly normal, but it is not
symmetric. I'm looking for a model distribution. I started by looking for
something quick and dirty. If "quick" doesn't happen, I might actually
have to figure out if there is already a theoretically-expected distribution
for my case. But in the meantime, quick and dirty still sounds good.
That's the real question.
thanks for helping me express what I want :)
-gary
DG
>
> Gary Pajer wrote:
> > Do any of the distributions in scipy.stats make a skew Gaussian?
> > Ditto, a Gaussian with kurtosis?
> >
> > thanks,
> > -gary
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