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EVT and alternatives [12]

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Bullet points include: Suppose that x1, x2, ..., xn, ... are independent random variables possessing same cumulative distribution function, F, and that there exist sequences an and bn such that the following tends in distributional form to Q, a non-degenerate probability distribution from which random variable y is drawn. Then Q is equal to H(xi) for some xi (if a_n and b_n appropriately scaled) where H(xi) is the generalised extreme value (GEV) distribution. F is then said to be in the maximum domain of attraction of H(xi)

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