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Local power of the LR, Wald, score and gradient tests in dispersion models
Asymptotic expansions Chi-square distribution Dispersion models Gradient test Likelihood ratio test Local power Score test Wald test
2011/3/24
We derive asymptotic expansions up to order $n^{-1/2}$ for the nonnull distribution functions of the likelihood ratio, Wald, score and gradient test statistics in the class of dispersion models, under...
Improved estimators for dispersion models with dispersion covariates
Dispersion models Dispersion Covariates Nonlinear Models Bias Correction
2010/3/9
In this paper we discuss improved estimators for the regression and the dispersion
parameters in an extended class of dispersion models (Jørgensen, 1996). This
class extends the regular dispe...
Skewness of maximum likelihood estimators in dispersion models
dispersion models nonlinear models skewness maximum likelihood
2010/3/9
We introduce the dispersion models with a regression structure to extend the
generalized linear models, the exponential family nonlinear models (Cordeiro and
Paula, 1989) and the proper dispersion m...
Some discrete exponential dispersion models：Poisson-Tweedie and Hinde-Demetrio classes
Negative binomial distribution overdispersion Poisson mixture Tweedie family unit variance function
2009/2/23
In this paper we investigate two classes of exponential dispersion models (EDMs) for overdispersed count data with respect to the Poisson distribution. The first is a class of Poisson mixture with pos...