On Poisson-stopped-sums that are mixed Poisson

Maceda (1948) characterized the mixed Poisson distributions that are Poisson-stopped-sum distributions based on the mixing distribution. In an alternative characterization of the same set of distributions here the Poisson-stopped-sum distributions that are mixed Poisson distributions is proved to be the set of Poisson-stopped-sums of either a mixture of zero-truncated Poisson distributions or a zero-modification of it.

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Year of publication:	2013
Authors:	Valero, Jordi ; Pérez-Casany, Marta ; Ginebra, Josep
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 83.2013, 8, p. 1830-1834
Publisher:	Elsevier
Subject:	Poisson-stopped-sum distribution \| Poisson mixture \| Zero-truncated distribution \| Zero-modified distribution

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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