Convergence of products of independent random variables with values in a discrete semigroup

DOI10.1007/BF00533262zbMath0411.60014OpenAlexW1978741411MaRDI QIDQ4197810

Tze-Chien Sun, Arunava Mukherjea

Publication date: 1979

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00533262

zbMATH Keywords

discrete semigroupsmeasure theorycompletely simpleP. Levy's equivalence theoremprobability theory on algebraic-topological structures

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Infinite convolutions of probability measures on Polish semigroups ⋮ Matrix refinement type equations ⋮ Random walk in a finite directed graph subject to a road coloring ⋮ Probability inequalities and tail estimates for metric semigroups

Cites Work

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• On the convergence of sums of independent Banach space valued random variables
• Probability theory on discrete semigroups
• On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups
• The equivalence theorem for compositions of independent random elements on locally compact groups and homogeneous spaces
• Necessary and Sufficient Convergence Conditions for the Convolution of Non-Identical Distributions Given on a Finite Group
• Idempotent Measures on Locally Compact Semigroups

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