Limit Distributions for the Extreme Order Statistics
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 447-459
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Let X l, ..., Xn be independent random variables with the same distribution function (df) F(x) and let Xln ≤X 2n ≤...≤nr be the corresponding order statistics. The (df) of Xkn will be denoted always by Fkn (x). Many authors have investigated the asymptotic behaviour of the maximal term Xnn as n → ∞. Gnedenko [3] proved the following
Mejzler, D. Limit Distributions for the Extreme Order Statistics. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 447-459. doi: 10.4153/CMB-1978-078-8
@article{10_4153_CMB_1978_078_8,
author = {Mejzler, D.},
title = {Limit {Distributions} for the {Extreme} {Order} {Statistics}},
journal = {Canadian mathematical bulletin},
pages = {447--459},
year = {1978},
volume = {21},
number = {4},
doi = {10.4153/CMB-1978-078-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-078-8/}
}
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