Abstract Number:
3609
Submission Type:
Contributed Abstract
Contributed Abstract Type:
Paper
Participants:
Andrew Swift (1), Kimberly Sellers (2)
Institutions:
(1) University of Nebraska At Omaha, N/A, (2) North Carolina State University, N/A
Co-Author:
First Author:
Presenting Author:
Abstract Text:
Modelling the difference of two counts has many practical uses in statistics. The Skellam distribution can be used for such a model, however since the Skellam distribution is constructed as the difference of two Poisson distributions it is potentially unsuitable for modelling data that suffers from under or over dispersion. We take a first look at constructing a Bayesian generalized linear model for the difference of counts that can handle both under and over dispersion based on the difference of two Conway-Maxwell Poisson distribution (that is, a Conway-Maxwell Skellam distribution). The focus of this paper is on providing an explicit demonstration using the Metropolis-Hastings algorithm.
Keywords:
Count Data|Overdispersion|Underdispersion|Conway-Maxwell Skellam|Bayesian|Metropolis-Hastings
Sponsors:
IMS
Tracks:
Statistical Methodology
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