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| 右删失数据下非线性回归模型的经验似然推断 | |
| 引用本文： | 陈放,李高荣,冯三营,薛留根.右删失数据下非线性回归模型的经验似然推断[J].应用数学学报,2010,33(1). |
| 作者姓名： | 陈放 李高荣 冯三营 薛留根 |
| 作者单位： | 1. 广州南洋理工学院基础部,广东,510980 2. 北京工业大学应用数理学院,北京,100124 3. 洛阳师范学院数学科学学院,河南,471022 |
| 基金项目： | 国家自然科学基金，北京市自然科学基金，高等学校博士学科点专项科研基金，北京市属市管高等学校人才强教计划;北京工业大学自然科学基础研究基金;北京工业大学博士启动基金以及河南省自然科学研究 |
| 摘 要： | 考虑随机右删失数据下非线性回归模型,提出了模型中未知参数的调整的经验对数似然比统计量.在一定的条件下,证明了.所提出的的统计量具有渐近χ~2分布,由此结果构造了兴趣参数的置信域.通过模拟研究,对经典的经验似然、调整的经验似然和非线性最小二乘方法在有限样本下进行了比较,并对氯离子浓度试验数据进行了分析. |
| 关 键 词： | 删失数据 非线性模型 调整的经验似然 置信域 |
Empirical Likelihood Inference for Nonlinear Regression Model with Right Censored Data |
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| CHEN FANG,LI GAORONG,FENG SANYING,XUE LIUGEN.Empirical Likelihood Inference for Nonlinear Regression Model with Right Censored Data[J].Acta Mathematicae Applicatae Sinica,2010,33(1). | |
| Authors: | CHEN FANG LI GAORONG FENG SANYING XUE LIUGEN |
| Abstract: | In this paper, the nonlinear regression models with right censored data are considered, an ajusted empirical log-likelihood ratio is proposed for the vector of regression parameter. Under certain conditions, it is shown that the proposed statistics have the chi-squared limiting distribution, which enables us to construct the confidence regions of the parameters of interest. In the simulation study, we have compared the performance of the finite sample for the classical empirical likelihood, the adjusted empirical likelihood and the nonlinear least squares methods. An illustration is given by using chloride transport data. |
| Keywords: | censored data nonlinear regression model adjusted empirical likelihood confidence region |
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