Some properties of the Lerch family of discrete distributions

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dc.creatorAksenov, Sergej V.
dc.creatorSavageau, Michael A.
dc.date2005-04-23
dc.date.accessioned2026-07-07T08:06:49Z
dc.date.available2026-07-07T08:06:49Z
dc.descriptionWe extend the definition of the Lerch distribution to the set of nonnegative integers for greater applicability to modeling count data. We express its properties in terms of Lerch's transcendent, and study its unimodality, hazard function and variance-to-mean ratio.
dc.description10 pages; auxilliary information with proofs and examples (23 pages) is appended
dc.identifierhttps://arxiv.org/abs/math/0504485
dc.identifierhttp://arxiv.org/abs/math/0504485
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130738
dc.subjectProbability
dc.subjectStatistics Theory
dc.subject60E05
dc.titleSome properties of the Lerch family of discrete distributions
dc.typetext

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