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Block empirical likelihood for longitudinal partially linear regression models
Authors:Jinhong You  Gemai Chen  Yong Zhou
Abstract:The authors propose a block empirical likelihood procedure to accommodate the within‐group correlation in longitudinal partially linear regression models. This leads them to prove a nonparametric version of the Wilks theorem. In comparison with normal approximations, their method does not require a consistent estimator for the asymptotic covariance matrix, which makes it easier to conduct inference on the parametric component of the model. An application to a longitudinal study on fluctuations of progesterone level in a menstrual cycle is used to illustrate the procedure developed here.
Keywords:Block empirical likelihood  confidence region  longitudinal data  partially linear regression model  semiparametric inference  Wilks theorem
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