The asymptotic behavior of a counting process in the max-scheme. A discrete case

Author:

Matsak Ivan K.1,Rozora Iryna V.2

Affiliation:

1. 1Taras Shevchenko National University of Kyiv, av. Glushkova 2, building 6, Kyiv 03127, Ukraine

2. 2Taras Shevchenko National University of Kyiv, av. Glushkova 2, building 6, Kyiv 03127, Ukraine

Abstract

AbstractAn exact asymptotic value of the logarithm for a counting process in the max-scheme is obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference30 articles.

1. One improvement of the law of the iterated logarithm for the maximum scheme;Ukraïn. Mat. Zh.,2012

2. Inverses of extremal processes;Adv. in Appl. Probab.,1974

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1. Asymptotic Behavior of Maxima of Independent Random Variables;Lithuanian Mathematical Journal;2019-04

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