Estimation of population-level summaries in general semiparametric repeated measures regression models
Arnab Maity, Tatiyana V. Apanasovich, Raymond J. Carroll
Abstract
This paper considers a wide family of semiparametric repeated measures regression models, in which the main interest is on estimating population-level quantities such as mean, variance, probabilities etc. Examples of our framework include generalized linear models for clustered/longitudinal data, among many others. We derive plug-in kernel-based estimators of the population level quantities and derive their asymptotic distribution. An example involving estimation of the survival function of hemoglobin measures in the Kenya hemoglobin study data is presented to demonstrate our methodology.
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Primary Subjects: 62G08, 62J02
Secondary Subjects: 62J12
Keywords: clustered/longitudinal data; generalized estimating equations; generalized linear mixed models; kernel method; marginal models; measurement error; nonparametric regression; partially linear model; profile method; repeated measures
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.imsc/1207058269
Digital Object Identifier: doi:10.1214/193940307000000095
References
[1] Chen, X., Linton, O. and Van Keilegom, I. (2003). Estimation of semiparametric models when the criterion function is not smooth. Econometrica 71 1591–1608.
Mathematical Reviews (MathSciNet):
MR2000259
Digital Object Identifier: doi:10.1111/1468-0262.00461
JSTOR: links.jstor.org
[2] Lin, X. and Carroll, R. J. (2006). Semiparametric estimation in general repeated measures problems. J. R. Stat. Soc. Ser. B Stat. Methodol. 68 69–88.
Mathematical Reviews (MathSciNet):
MR2212575
Zentralblatt MATH:
1141.62026
Digital Object Identifier: doi:10.1111/j.1467-9868.2005.00533.x
[3] Maity, A., Ma, Y. and Carroll, R. J. (2007). Efficient estimation of population-level summaries in general semiparametric regression models. J. Amer. Statist. Assoc. 102 123–139.
Mathematical Reviews (MathSciNet):
MR2293305
Zentralblatt MATH:
05191555
Digital Object Identifier: doi:10.1198/016214506000001103
[4] Sepanski, J. H., Knickerbocker, R. and Carroll, R. J. (1994). A semiparametric correction for attenuation. J. Amer. Statist. Assoc. 89 1366–1373.
Mathematical Reviews (MathSciNet):
MR1310227
Zentralblatt MATH:
0810.62042
Digital Object Identifier: doi:10.2307/2290998
JSTOR: links.jstor.org
[5] Zeger, S. and Diggle, P. (1994). Semiparametric models for longitudinal data with application to cd4 cell numbers in hiv seroconverters. Biometrics 50 689–699.
[6] Zhang, D., Lin, X., Raz, J. and Sowers, M. (1998). Semiparametric stochastic mixed models for longitudinal data. J. Amer. Statist. Assoc. 93 710–719.
Mathematical Reviews (MathSciNet):
MR1631369
Zentralblatt MATH:
0918.62039
Digital Object Identifier: doi:10.2307/2670121
JSTOR: links.jstor.org
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