TIAN Ping, XUE Liugen. Asymptotic Properties of Estimators in Semiparametric Regression Model for Longitudinal Data[J]. Chinese Journal of Applied Probability and Statistics, 2007, 23(4): 369-376.
Citation: TIAN Ping, XUE Liugen. Asymptotic Properties of Estimators in Semiparametric Regression Model for Longitudinal Data[J]. Chinese Journal of Applied Probability and Statistics, 2007, 23(4): 369-376.

Asymptotic Properties of Estimators in Semiparametric Regression Model for Longitudinal Data

  • In this paper, we consider the following semiparametric regression model for longitudinal data: y_ij=x_ij'\beta+g(t_ij)+e_ij. The estimators of \beta and g(\cdot) are obtained by using the least squares and usual nonparametric weight function method, the asymptotic normality of the estimator of \beta and the optimal convergence rate of the estimator of g(\cdot) are proved under the suitable conditions. Some simulations are conducted to demonstrate the finite sample performances of the estimation procedures.
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