Empirical Likelihood Inference for Generalized Partially Linear Models with Longitudinal Data

• 作者: Jinghua Zhang Liugen Xue
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: Longitudinal Data GENERALIZED PARTIALLY Linear MODELS Empirical LIKELIHOOD QUADRATIC INFERENCE Function
• 年，卷（期）: 2020,（2）
• 页码范围: 188-202
• 页数: 15页
• 分类号: O17

摘要

In this article, we propose a generalized empirical likelihood inference for the parametric component in semiparametric generalized partially linear models with longitudinal data. Based on the extended score vector, a generalized empirical likelihood ratios function is defined, which integrates the within-cluster?correlation meanwhile avoids direct estimating the nuisance parameters in the correlation matrix. We show that the proposed statistics are asymptotically?Chi-squared under some suitable conditions, and hence it can be used to construct the confidence region of parameters. In addition, the maximum empirical likelihood estimates of parameters and the corresponding asymptotic normality are obtained. Simulation studies demonstrate the performance of the proposed method.