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August, 1972 The Rate of Growth of Sample Maxima
Laurens de Haan, Arie Hordijk
Ann. Math. Statist. 43(4): 1185-1196 (August, 1972). DOI: 10.1214/aoms/1177692470

Abstract

The sequence of partial maxima for i.i.d. random variables is considered. Two theorems concerning the sample behaviour of the maxima are proved. Also a large deviations result is given, connected with weak convergence to the double exponential distribution.

Citation

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Laurens de Haan. Arie Hordijk. "The Rate of Growth of Sample Maxima." Ann. Math. Statist. 43 (4) 1185 - 1196, August, 1972. https://doi.org/10.1214/aoms/1177692470

Information

Published: August, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0241.60033
MathSciNet: MR312550
Digital Object Identifier: 10.1214/aoms/1177692470

Rights: Copyright © 1972 Institute of Mathematical Statistics

Vol.43 • No. 4 • August, 1972
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