Articles

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

  • Wu Changchun ,
  • Zhang Runchu
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  • 1.School of Mathematics and Information, Jiaxing University, Jiaxing 314001, China
    2.LPMC and School of Mathematical Sciences, Nankai University, Tianjin 300071, China

Received date: 2003-12-09

  Revised date: 2005-04-30

  Online published: 2007-04-20

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.

Cite this article

Wu Changchun , Zhang Runchu . THE ASYMPTOTIC DISTRIBUTIONS OF EMPIRICAL LIKELIHOOD RATIO STATISTICS IN THE PRESENCE OF MEASUREMENT ERROR[J]. Acta mathematica scientia, Series B, 2007 , 27(2) : 232 -242 . DOI: 10.1016/S0252-9602(07)60022-8

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