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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 30, Fasc. 1,
pages 87 - 102
 

A FUNCTIONAL EQUATION THAT LEADS TO SEMISTABILITY

Nadjib Bouzar

Abstract: Some functional equations related to the notion of semistability of probability distributions on Z + and R + are studied. The solution sets of these equations are fully described.

2000 AMS Mathematics Subject Classification: Primary: 60E07; Secondary: 62E10.

Keywords and phrases: Infinite divisibility, Laplace–Stieltjes transforms, probability generating functions, the Deny–Lau–Rao theorem.

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