An empirical model for underdispersed count data
- 1 April 2004
- journal article
- research article
- Published by SAGE Publications in Statistical Modelling
- Vol. 4 (1) , 77-89
Abstract
We present a novel distribution for modelling count data that are underdispersed relative to the Poisson distribution. The distribution is a form of weighted Poisson distribution and is shown to have advantages over other weighted Poisson distributions that have been proposed to model underdispersion. One key difference is that the weights in our distribution are centred on the mean of the underlying Poisson distribution. Several illustrative examples are presented that illustrate the consistently good performance of the distribution.Keywords
This publication has 17 references indexed in Scilit:
- Likelihood‐Based Modeling and Analysis of Data Underdispersed Relative to the Poisson DistributionBiometrics, 2001
- Weighted Poisson Distributions for Overdispersion and Underdispersion SituationsAnnals of the Institute of Statistical Mathematics, 1998
- Generalized poisson models arising from Markov processesStatistics & Probability Letters, 1998
- Why don't birds lay more eggs?Trends in Ecology & Evolution, 1997
- COUNT DATA REGRESSION USING SERIES EXPANSIONS: WITH APPLICATIONSJournal of Applied Econometrics, 1997
- Extended Poisson Process Modelling and Analysis of Count DataBiometrical Journal, 1997
- A Unified View of Models Describing the Avoidance of SuperparasitismMathematical Medicine and Biology: A Journal of the IMA, 1989
- Double Exponential Families and Their Use in Generalized Linear RegressionJournal of the American Statistical Association, 1986
- Uniform bounding of probability generating functions and the evolution of reproduction rates in birdsJournal of Applied Probability, 1978
- Presidential AddressJournal of the Royal Statistical Society. Series A (General), 1961