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Consider changing
,
the distribution of classes, to

The normalization *N* is

Convolution of this with the Gaussian distribution produces Pearson
distributions[2]

This includes the Lorentzian as the *b*=1 special case, and the Gaussian as
the
limit. While it is thus expected that the
relaxation function
*G*_{P,b}(*t*) will evolve smoothly from Lorentzian KT to
Gaussian KT as *b* increases, *b*=2 (*n*=4) is the only nontrivial case for
which closed form *G*(*t*) is known:

*Jess H. Brewer *

2002-09-24