Sign test based on k-tuple general ranked set samples

Tao Li, Narayanaswamy Balakrishnan

Research output: Contribution to journalArticlepeer-review

Abstract

The sign test based on the k-tuple ranked set samples is discussed here. We first derive the distribution of the k-tuple ranked set sample sign test statistic, and then the asymptotic distribution is also obtained. We then compare its performance with its counterparts based on simple random sample and classical ranked set sample. The asymptotic relative efficiency and the power are then derived. Finally, the effect of imperfect ranking on the procedure is assessed.

Original languageEnglish
Pages (from-to)3874-3883
Number of pages10
JournalCommunications in Statistics - Theory and Methods
Volume45
Issue number13
DOIs
Publication statusPublished - 2 Jul 2016
Externally publishedYes

Keywords

  • General ranked set sample
  • imperfect ranking
  • power
  • relative efficiency
  • sign test

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