{"title":"An empirical model for underdispersed count data","authors":"M. Ridout, P. Besbeas","doi":"10.1191/1471082X04st064oa","DOIUrl":null,"url":null,"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.","PeriodicalId":354759,"journal":{"name":"Statistical Modeling","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"101","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistical Modeling","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1191/1471082X04st064oa","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 101
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.
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