%0 Journal Article
%T 纵向数据下部分非线性模型的广义经验似然推断<br>GENERALIZED EMPIRICAL LIKELIHOOD INFERENCE FOR PARTIALLY NONLINEAR MODELS WITH LONGITUDINAL DATA
%A 作者
%A 肖燕婷
%A 孙晓青
%A 孙瑾
%J 数学杂志
%D 2016
%X 本文研究了纵向数据下部分非线性模型中未知参数的置信域的构造.利用经验似然方法,构造了非线性函数中未知参数的广义对数经验似然比统计量,证明了其渐近于卡方分布.同时,得到了未知参数的最大经验似然估计,并证明了其渐近正态性.<br>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
%K 纵向数据 部分非线模型 经验似然 置信域&lt
%K br&gt
%K longitudinal data partially nonlinear models empirical likelihood confidence region
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20160614&flag=1