数学物理学报(英文版)

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THE ASYMPTOTIC DISTRIBUTIONS OF EMPIRICAL LIKELIHOOD RATIO STATISTICS IN THE PRESENCE OF MEASUREMENT ERROR

伍长春; 张润楚   

  1. 嘉兴大学数学与信息学院, 嘉兴 314001
  • 收稿日期:2003-12-09 修回日期:2005-04-30 出版日期:2007-04-20 发布日期:2007-04-20
  • 通讯作者: 伍长春
  • 基金资助:

    This work is supported by NNSF of China (10571093)

THE ASYMPTOTIC DISTRIBUTIONS OF EMPIRICAL LIKELIHOOD RATIO STATISTICS IN THE PRESENCE OF MEASUREMENT ERROR

Wu Changchun; Zhang Runchu   

  1. 1.School of Mathematics and Information, Jiaxing University, Jiaxing 314001, China
    2.LPMC and School of Mathematical Sciences, Nankai University, Tianjin 300071, China
  • Received:2003-12-09 Revised:2005-04-30 Online:2007-04-20 Published:2007-04-20
  • Contact: Wu Changchun

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: Empirical likelihood ratio statistics, asymptotic distribution, measurement error

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.

Key words: Empirical likelihood ratio statistics, asymptotic distribution, measurement error

中图分类号: 

  • 62D05