MAX-SEMIGROUPS O BIVARIATE RANDOM VARIABLES WITH KHINCHINE-TYPE DECOMPOSITIONS

A. Zempléni

doi:10.1556/sscmath.36.2000.3-4.9

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 36: Issue 3-4

MAX-SEMIGROUPS O BIVARIATE RANDOM VARIABLES WITH KHINCHINE-TYPE DECOMPOSITIONS

Author:

A. Zempléni

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

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Pages:: 359–366

Online Publication Date:: 22 Jul 2005

Publication Date:: 01 Dec 2000

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.36.2000.3-4.9

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Consider the multiplicative semigroup M (S)of all probability distribution fu ctions on subsets S of R 2 .This structure corresponds to the coordi atewise maximum of S -valued independe t random vectors. We provide a wide class of possible territories S, where in spite of the lack of the u it element in M (S),there is a Khinchine-type decomposition.I case M (S)has a unit element,we characterize the subsets S with the property that there is a decompositio in M (S).

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

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Studia Scientiarum Mathematicarum Hungarica
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