Limit Distributions of Random Sums of Z+-Valued Random Variables

DOI10.1080/03610920902944086zbMath1195.60028OpenAlexW1993868440MaRDI QIDQ3585295

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Publication date: 19 August 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920902944086

zbMATH Keywords

Laplace transformprobability generating functiongeometric infinite divisibilityinfinite divisibilitygeometric distributionlimit distributionstransfer theoremHarris distributionrandom infinite divisibilityrandom-sum

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10)

Related Items (1)

Characterizations of discrete compound Poisson distributions

Cites Work

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• Semi-self-decomposable distributions on \(\mathbb Z_{+}\)
• Characterizations of a discrete normal distribution
• Discrete semi-stable distributions
• Composition semigroups and random stability
• A discrete analogue of the Laplace distribution
• On geometric infinite divisibility and stability

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