Arithmetics of a mixed bivariate model-Reference-Cited by-同舟云学术

Arithmetics of a mixed bivariate model

Published:2002-05-01 Issue:1-2 Volume:39 Page:157-167
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
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Author:

Zempléni A.¹

Affiliation:

1. 1 Eötvös Loránd Tudományegyetem Valószínűségelméleti és Statisztika Tanszék Pázmány Péter sétány 1/c H-1117 Budapest, Hungary

Abstract

We consider the bivariate random variables with an unusual combination of operation: in the first coordinate the sum, while in the second the maximum is taken. We investigate the arithmetical properties of this commutative semigroup and show that the irreducible distributions form a dense set. The Khinchine-type decomposition theorem is also true. We give examples for infinitely divisible and antiirreducible elements in this structure.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.39.2002.1-2.10

Reference10 articles.

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4. On a problem of a Khinchine-type decomposition theorem for extreme values;E. Pancheva;Teor. Veroyatnost. i Primenen.,1994

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