Generalized poisson models arising from Markov processes

Ronald J. Bosch and Louise M. Ryan

Statistics & Probability Letters, 1998, vol. 39, issue 3, 205-212

Abstract: We develop a family of distributions which allow for over- and underdispersion relative to the Poisson. This latter feature is particularly appealing since many existing methods only allow for overdispersion. These distributions arise from underlying continuous-time Markov processes in which event rates depend on how many events have already occurred. The results are illustrated with underdispersed count data from a polyspermy study and overdispersed data from the Canadian Sickness Survey.

Keywords: Birth; process; Overdispersion; Underdispersion; Differential; equations (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (2)

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