数学杂志2016,Vol.36Issue(6):1238-1244,7.
纵向数据下部分非线性模型的广义经验似然推断
GENERALIZED EMPIRICAL LIKELIHOOD INFERENCE FOR PARTIALLY NONLINEAR MODELS WITH LONGITUDINAL DATA
摘要
Abstract
In this paper, we study the construction of confidence region for unknown parameter in partially nonlinear models with longitudinal data. By empirical likelihood method, the generalized empirical log-likelihood ratio for parameter in nonlinear function is proposed and shown to be asymptotically chi-square distribution. At the same time, the maximum empirical likelihood estimator of the parameter in nonlinear function is obtained and asymptotic normality is proved.关键词
纵向数据/部分非线模型/经验似然/置信域Key words
longitudinal data/partially nonlinear models/empirical likelihood/confidence region分类
数理科学引用本文复制引用
肖燕婷,孙晓青,孙瑾..纵向数据下部分非线性模型的广义经验似然推断[J].数学杂志,2016,36(6):1238-1244,7.基金项目
国家自然科学基金(61303223 ()
11501443) ()
陕西省自然科学基金(2015JM1039) (2015JM1039)
陕西省教育厅基金(2016JK1545) (2016JK1545)
西安理工大学校基金(2015CX009 ()