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THE ASYMPTOTIC DISTRIBUTIONS OF EMPIRICAL LIKELIHOOD RATIO STATISTICS IN THE PRESENCE OF MEASUREMENT ERROR
作者姓名:伍长春  张润楚
作者单位:School of Mathematics and Information Jiaxing University,LPMC and School of Mathematical Sciences Nankai University,Jiaxing 314001,China LPMC and School of Mathematical Sciences,Nankai University,Tianjin 300071,China,Tianjin 300071,China
摘    要:Suppose that several different imperfect instruments and one perfect instrument are independently used to measure some characteristics of a population. Thus, measurements of two or more sets of samples with varying accuracies are obtained. Statistical inference should be based on the pooled samples. In this article, the authors also assumes that all the imperfect instruments are unbiased. They consider the problem of combining this information to make statistical tests for parameters more relevant. They define the empirical likelihood ratio functions and obtain their asymptotic distributions in the presence of measurement error.

关 键 词:经验似然比  统计学  渐进分布  置信区间  测量误差
收稿时间:2003-12-09
修稿时间:2005-04-30

The asymptotic distributions of empirical likelihood ratio statistics in the presence of measurement error
Changchun Wu,Runchu Zhang.THE ASYMPTOTIC DISTRIBUTIONS OF EMPIRICAL LIKELIHOOD RATIO STATISTICS IN THE PRESENCE OF MEASUREMENT ERROR[J].Acta Mathematica Scientia,2007,27(2):232-242.
Authors:Changchun Wu  Runchu Zhang
Institution:aSchool of Mathematics and Information, Jiaxing University, Jiaxing 314001, China;bLPMC and School of Mathematical Sciences, Nankai University, Tianjin 300071, China
Abstract:Suppose that several different imperfect instruments and one perfect instrument are independently used to measure some characteristics of a population. Thus, measurements of two or more sets of samples with varying accuracies are obtained. Statistical inference should be based on the pooled samples. In this article, the authors also assumes that all the imperfect instruments are unbiased. They consider the problem of combining this information to make statistical tests for parameters more relevant. They define the empirical likelihood ratio functions and obtain their asymptotic distributions in the presence of measurement error.
Keywords:Empirical likelihood ratio statistics  asymptotic distribution  measurement error
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