Some properties of the Lerch family of discrete distributions

Some properties of the Lerch family of discrete distributions

We 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.

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Veröffentlicht in:arXiv.org 2005-04
Hauptverfasser: Aksenov, Sergej V, Savageau, Michael A
Format: Artikel
Sprache:eng
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Zusammenfassung:We 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.
ISSN:2331-8422