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The relationship between double-exponential families and extended quasi-likelihood families, with application to modelling Geissler's human sex ratio data

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The human sex ratio data, collected in Saxony in the 19th century by Geissler, are reanalysed by joint modelling of the mean and dispersion. Extended quasi-likelihood and the unnormalized double-exponential family are shown to lead to identical inference. The use of the unnormalized form is discussed. The relationship between multinomial and Poisson models is studied for overdispersed data.
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Keywords: Double-exponential family; Extended quasi-likelihood; Generalized linear models;; Joint modelling of mean and dispersion; Overdispersion

Document Type: Original Article

Affiliations: 1: Seoul National University, Korea, 2: Imperial College of Science, Technology and Medicine, London, UK

Publication date: 2000-01-01

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