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Re: Gauss vs. Cauchy



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Hi Gene,

Here are some references that will assist:

Feller, Probability, Vol. II,Wiley

McCulloch, J.H. (1986), ``Simple Consistent Estimators of Stable
Distributions",  Communications in Statistics---Simulation and
Computation, 15, 1109-1136

Nolan - his website is 
http://www.cas.american.edu/~jpnolan/stable.html
He has an executable program to run the estimation there.

Elliot




----- Original Message ----- 
From: "Gene Pope" <gene@xxxxxxxxxxxxx>
To: <omega-list@xxxxxxxxxx>
Sent: Sunday, 15 September 2002 05:07
Subject: Gauss vs. Cauchy


> Hey all,
> 
> I'm trying to figure out how to write a variation on the StandardDev
> function in TS such that it reflects a non-Gaussian distribution,
such as
> Cauchy or Paretian.
> 
> I'm having difficulty translating the available formulas that
describe the
> area under the distribution curves into the equivalent Deviation off
of
> prices (or log of prices).
> 
> Anyone out there who can throw me a bone (or point me to a better
source for
> the math)? Much appreciated.
> 
> Best regards,
> 
> Gene Pope
> 
>