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