Author： Zempléni A.
Publisher： Akademiai Kiado
ISSN： 0081-6906
Source： Studia Scientiarum Mathematicarum Hungarica, Vol.36, Iss.3-4, 2000-12, pp. : 359-366
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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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