A GENERALIZED LINEAR-MODEL WITH NESTED STRATA OF EXTRA-POISSON VARIATION
成果类型：
Article
署名作者：
MORTON, R
署名单位：
Commonwealth Scientific & Industrial Research Organisation (CSIRO)
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/74.2.247
发表日期：
1987
页码：
247257
关键词：
摘要：
We consider a scaled Poisson generalized linear model with random multiplicative errors associated with each stratum of a nested block structure. The normal equations are obtained. The quasi-likelihood is shown to be the product of a sequence of negative binomial quasi-likelihoods using weighted totals and correcting for margins. This is achieved by extending the definition of the quasi-likelihood which now includes a vector of weights. The usual asymptotic results still hold. Data on trap catches of insects provide a numerical example.