Some properties of the Lerch family of discrete distributions

Details Some properties of the Lerch family of discrete distributions Some properties of the Lerch family of discrete distributions

2005-04-23

arxiv.org/abs/math/0504485v1

Mathematics

Probability

10 pages; auxilliary information with proofs and examples (23 pages) is appended

Scientific paper

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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