[R] distributions w. skewness & kurtosis

Ben Bolker ben at zoo.ufl.edu
Tue Dec 11 14:19:28 CET 2001

  A similar question came up recently on the list (you can search the
archives for keywords like "kurtosis" at www.r-project.org, or more easily
at Jonathan Baron's site, http://finzi.psych.upenn.edu/search.html).


  This query was about distributions with zero skewness and positive
kurtosis, but I think some of the answers may be helpful if you follow
them up.  Just to caution you, it's not clear what "would otherwise be
normal" means in this context -- I suppose you could say you want a
parametric family of distributions that includes the normal distribution
when some parameters are set to special values, but allow other
possibilities with non-zero higher cumulants ... (the gamma, t, and
possibly weibull distributions spring to mind).


On Mon, 10 Dec 2001, Warren R. Greiff wrote:

> Is there some reasonable way to generate random data from a
> distribution that has some degree of skewness and/or kurtosis, but
> would otherwise be normal?
> thanks,

318 Carr Hall                                bolker at zoo.ufl.edu
Zoology Department, University of Florida    http://www.zoo.ufl.edu/bolker
Box 118525                                   (ph)  352-392-5697
Gainesville, FL 32611-8525                   (fax) 352-392-3704

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