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Asymptotic results with generalized estimating equations for longitudinal data

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Apr 2005Embargo end date: 01 Jan 2005Publisher:Institute of Mathematical StatisticsJournal:The Annals of Statistics, volume 33 (issn: 0090-5364,

Authors: Balan, R. M.; Schiopu-Kratina, I.;

doi: 10.1214/009053604000001255 , 10.48550/arxiv.math/0505600

arXiv: http://arxiv.org/abs/math/0505600

Asymptotic results with generalized estimating equations for longitudinal data

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Abstract

We consider the marginal models of Liang and Zeger [Biometrika 73 (1986) 13-22] for the analysis of longitudinal data and we develop a theory of statistical inference for such models. We prove the existence, weak consistency and asymptotic normality of a sequence of estimators defined as roots of pseudo-likelihood equations.

Published at http://dx.doi.org/10.1214/009053604000001255 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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Keywords

Generalized linear models (logistic models), consistency, Estimation in multivariate analysis, asymptotic normality, Mathematics - Statistics Theory, Statistics Theory (math.ST), 62F12 (Primary) 62J12. (Secondary), generalized estimating equations, generalized linear model, FOS: Mathematics, Generalized estimating equations, 62J12, Generalized estimating equations, Generalized linear model, Consistency, Asymptotic normality, 62F12, Asymptotic properties of parametric estimators, jel: jel:C40, jel: jel:C10

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