Infinite Convolution of Distributions on Discrete Commutative Semigroups

Imre Z. Ruzsa
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Imre Z. Ruzsa: Mathematical Institute of the Hungarian Academy of Sciences

A chapter in Probability Measures on Groups X, 1991, pp 365-376 from Springer

Abstract: Abstract The question about the convergence of an infinite sum of independent random variables, or in other words, of an infinite convolution of distributions, is one of the fundamental problems of probability theory. For real variables it is answered by Kolmogorov’s classical theorem. The situation on topological groups is also well understood, see Heyer [1].

Keywords: Probability Measure; Weak Convergence; Discrete Case; Simple Semigroup; Topological Semigroup (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1007/978-1-4899-2364-6_27

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