Negative Binomial Regression

DOI10.1017/CBO9780511811852zbMath1131.62068MaRDI QIDQ5309951

Publication date: 4 October 2007

cluster bootstrap outliers longitudinal information matrix likelihood ratio test dispersion sample selection gradient score test random coefficients overdispersion random effects maximum likelihood exponential family Fisher scoring goodness-of-fit Bernoulli trials Newton-Raphson algorithm quasi-likelihood jackknife probit cumulant generalized linear models BIC residual analysis binomial generalized estimating equation correlation structure Hessian matrix gamma model zero-inflated count model beta distribution scale iteratively re-weighted least squares Poisson-gamma mixture hierarchical zero-inflated negative binomial underdispersion canonical hurdle model random intercept Pearson residual generalized Poisson regression incomplete beta deviance residual robust variance estimator incidental parameter problem negative exponential m-dependent left truncated right truncated heterogeneity parameter negative binomial model equidispersion Stata endogenous stratification geometric regression heterogeneous negative binomial regression zero-truncated model count response model autoregressive correlation nonstationary correlation Marquardt rate parameter censored survival Pearson chi square Anscombe residual censored econometric censored negative binomial censored Poisson complementary loglog conditional fixed effects negative binomial model conditional fixed effects Poisson model exchangeable correlation grouped logit incident rate ratio independent correlation La Grange multiplier LIMDEP multilevel negative binomial NB-1 NB-2 NB-C NB-H NB-P quasi-deviance stationary correlation unconditional fixed effect unstructured correlation

Mathematics Subject Classification ID

Generalized linear models (logistic models) (62J12) Linear inference, regression (62J99) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics (62-01) Research exposition (monographs, survey articles) pertaining to statistics (62-02)

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