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SKEWNESS FOR PARAMETERS IN GENERALIZED LINEAR MODELS
Abstract:In this paper we give an asymptotic formula of order n ?1/2, where n is the sample size, for the skewness of the distribution of the maximum likelihood estimates of the linear parameters in generalized linear models. The formula is given in matrix notation and is very suitable for computer implementation. Several special cases are discussed. We also give asymptotic formulae for the skewness of the distribution of the maximum likelihood estimates of the dispersion and precision parameters.
Keywords:Asymptotic expansion  Canonical link  Dispersion parameter  Generalized linear model  Maximum likelihood estimate  Precision parameter  Skewness
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