✦ LIBER ✦

Extended Poisson Process Modelling and Analysis of Count Data

✍ Scribed by M. J. Faddy

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 463 KB
Volume: 39
Category: Article
ISSN: 0323-3847
DOI: 10.1002/bimj.4710390405

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✦ Synopsis

It is shown that any discrete distribution yith non-negative support has a representation in terms of an extended Poisson process (or pure birth process). A particular extension of the simple Poisson process is proposed: one that admits a variety of distributions; the equations for such processes may be readily solved numerically. An analytical approximation for the solution is given, leading to approximate mean-variance relationships. The resulting distributions are then applied to analyses of some biological data-sets.

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