Estimation of population-level summaries in general semiparametric repeated measures regression models

Mathematics – Statistics Theory

Scientific paper

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Published in at http://dx.doi.org/10.1214/193940307000000095 the IMS Collections (http://www.imstat.org/publications/imscollec

Scientific paper

10.1214/193940307000000095

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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