INTERVAL ESTIMATION IN RANKED SET SAMPLING

DOI
  • Shirahata Shingo
    Department of Statistics, College of General Education, Osaka University

Bibliographic Information

Other Title
  • 順位による情報を用いた平均の区間推定

Abstract

Consider the ranked set sampling which is useful to estimate the population mean when the order of a sample of small size can be found without measurements or with rough methods. Consider m sets of elements each set having size m. All elements of each set are ranked but only one is selected and quantified. Continue the process n times and the average of the quantified elements is adopted as the point estimator. In this paper we shall try to construct interval estimators of the population mean. In order to construct interval estimators, we derive estimators of the variance of the average and standardize the average. Normal approximation and t-approximations with predetermined or adjusted degrees of freedom are considered. We find that the t-approximations with adjusted degrees of freedom are effective except for heavily skewed distributions.

Journal

Keywords

Details 詳細情報について

  • CRID
    1390001204384585344
  • NII Article ID
    110001239490
  • DOI
    10.20551/jscswabun.6.1-2_15
  • ISSN
    21899789
    09148930
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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