中文摘要：

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.

英文摘要：

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.