Limit Distributions for the Extreme Order Statistics
- 1 December 1978
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 21 (4) , 447-459
- https://doi.org/10.4153/cmb-1978-078-8
Abstract
Let Xl, …, Xn be independent random variables with the same distribution function (df) F(x) and let Xln≤X2n≤…≤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 followingKeywords
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