Fréchet Distribution Function
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If Mn is the maximum of a sample of size n from the inverse
power distribution with density f(x)=γ x-γ for x>1,
then the distribution of Mn/n1/γ converges
to the Fréchet(γ,1)
distribution. The Fréchet(γ,1) distribution has density
f(x) = γ exp{-x-γ} x-(γ+1) for x > 0.
and distribution function,
F(x, γ,1) = exp{-x-γ} for x>0.
For example, F(1,1,1) = 1/e = .36788