Inferences in semi-parametric dynamic mixed models for longitudinal count data
type: Item
instance of: scholarly article
title: Inferences in semi-parametric dynamic mixed models for longitudinal count data
zbMATH Open document ID: 1421.62042
author: Nan Zheng
author: Brajendra C. Sutradhar
published in: Annals of the Institute of Statistical Mathematics
publication date: 2018-02-08T00:00:00Z
review text: In this paper, the generalized linear longitudinal mixed model (GLLMM) for count data is extended to a semiparametric setup. The proposed model is referred to as the semiparametric GLLMM (SGLLMM). A quasi-likelihood estimation approach to this model is developed, assuming that the repeated count data are generated following an \(\mathrm{AR}(1)\) Poisson mixed model. The main regression effects and the overdispersion parameter are estimated using true correlation structure-based semiparametric generalized quasi-likelihood. The nonparametric function is estimated using semiparametric quasi-likelihood. The longitudinal correlations are estimated using the semiparametric method of moments. Proofs for the consistency properties of the estimators of the nonparametric function, regression parameters, variance of the random effects, and autocorrelation structure of the model are derived along with their convergence rates. Simulation studies are conducted to examine estimation effects when the nonparametric function is ignored and in the presence of the nonparametric function, including its estimation as well.
reviewed by: Annibal Parracho Sant'Anna
Mathematics Subject Classification ID: 62G08
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62J12
Mathematics Subject Classification ID: 62J10
Mathematics Subject Classification ID: 62M10
zbMATH DE Number: 6836005
zbMATH Keywords: repeated counts
zbMATH Keywords: longitudinal correlations
zbMATH Keywords: semiparametric model
zbMATH Keywords: generalized quasi-likelihood
zbMATH Keywords: consistency
MaRDI profile type: Publication
full work available at URL: s10463-016-0590-9
OpenAlex ID: W2550654637
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DOI: 10.1007/S10463-016-0590-9
description: scientific article; zbMATH DE number 6836005