Abstract
This paper develops the empirical likelihood (EL) inference on parameters and baseline function in a semiparametric nonlinear regression model for longitudinal data in the presence of missing response variables. We propose two EL-based ratio statistics for regression coefficients by introducing the working covariance matrix and a residual-adjusted EL ratio statistic for baseline function. We establish asymptotic properties of the EL estimators for regression coefficients and baseline function. Simulation studies are used to investigate the finite sample performance of our proposed EL methodologies. An AIDS clinical trial data set is used to illustrate our proposed methodologies.
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Acknowledgments
The authors thank two anonymous referees for their helpful comments and suggestions which have substantially improved the readability and the presentation of this paper. The research was fully supported by grants from the National Natural Science Foundation of China (10961026, 11171293), Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20115301110004) and the Natural Science Key Project of Yunnan Province (No. 2010CC003).
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Tang, NS., Zhao, PY. Empirical likelihood semiparametric nonlinear regression analysis for longitudinal data with responses missing at random. Ann Inst Stat Math 65, 639–665 (2013). https://doi.org/10.1007/s10463-012-0387-4
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DOI: https://doi.org/10.1007/s10463-012-0387-4