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.
Publié le : 2005-04-14
Classification:
Generalized estimating equations,
generalized linear model,
consistency,
asymptotic normality,
62F12,
62J12
@article{1117114327,
author = {Balan, R. M. and Schiopu-Kratina, I.},
title = {Asymptotic results with generalized estimating equations for longitudinal data},
journal = {Ann. Statist.},
volume = {33},
number = {1},
year = {2005},
pages = { 522-541},
language = {en},
url = {http://dml.mathdoc.fr/item/1117114327}
}
Balan, R. M.; Schiopu-Kratina, I. Asymptotic results with generalized estimating equations for longitudinal data. Ann. Statist., Tome 33 (2005) no. 1, pp. 522-541. http://gdmltest.u-ga.fr/item/1117114327/