Sergej V. Aksenov, Michael A. Savageau
Published 2005-04-23Version 1
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.
Comments: 10 pages; auxilliary information with proofs and examples (23 pages) is appended
Some properties of multivariate measures of concordance
Continuous counterparts of Poisson and binomial distributions and their properties
Limits of discrete distributions and Gibbs measures on random graphs
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