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Improving variance function estimation in semiparametric longitudinal data analysis
Authors:Chenlei Leng  Cheng Yong Tang
Affiliation:Department of Statistics and Applied Probability, National University of Singapore, Singapore 117546, Republic of Singapore
Abstract:We propose an efficient and robust method for variance function estimation in semiparametric longitudinal data analysis. The method utilizes a local log‐linear approximation for the variance function and adopts a generalized estimating equation approach to account for within subject correlations. We show theoretically and empirically that our method outperforms estimators using working independence that ignores the correlations. The Canadian Journal of Statistics 39: 656–670; 2011. © 2011 Statistical Society of Canada
Keywords:Asymptotic relative efficiency  local linear estimator  longitudinal data analysis  variance function estimation  MSC 2010: Primary 62G08  secondary 62G05
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