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Convergence for the sample extremes via convolutions. (English) Zbl 0643.60016

Mathematical statistics and probability theory, Vol. A, Proc. 6th Pannonian Symp., Bad Tatzmannsdorf/Austria 1986, 43-52 (1987).
[For the entire collection see Zbl 0623.00015.]
The author gives an alternative proof of Gnedenko’s theorem for the convergence to Fréchet extreme distributions and the uniform convergence rates.
Reviewer: Bai Zhidong

MSC:

60F05 Central limit and other weak theorems
62G30 Order statistics; empirical distribution functions
60E07 Infinitely divisible distributions; stable distributions

Citations:

Zbl 0623.00015