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Limit Distributions for the Extreme Order Statistics

Published online by Cambridge University Press:  20 November 2018

D. Mejzler
D. Mejzler*
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem, Isreal
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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 following

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 4 , 01 December 1978 , pp. 447 - 459
Copyright
Copyright © Canadian Mathematical Society 1978

References

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