Distribution of extreme values (e.g., maxima, minima, or other order statistics).
The extreme value theorem (also the Fisher-Tippett-Gnedenko theorem or the Fisher-Tippett
theorem) is a general result in extreme value theory regarding asymptotic distribution of extreme
order statistics. The maximum of a sample of IID random variables after proper renormalization
converges in distribution to one of 3 possible distributions, the Gumbel distribution, the
Fréchet distribution, or the Weibull distribution.
The role of the extremal types theorem for maxima is similar to that of central limit theorem for