On precedence tests with double sampling

Niladri Chakraborty, Narayanaswamy Balakrishnan , Maxim Finkelstein

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
18 Downloads (Pure)

Abstract

A new double sampling-based precedence and weighted precedence tests are introduced and analysed. The joint distributions of two precedence and weighted precedence statistics are obtained under the double-sampling framework. Subsequently, the closed-form expressions for the rejection probabilities are derived under the null hypothesis and the Lehmann alternative. The corresponding power comparison is carried out against the Lehmann alternative and the location-scale alternative through Monte-Carlo simulations. Finally, a couple of detailed illustrative examples are presented.
Original languageEnglish
Pages (from-to)554-576
Number of pages23
Journal Statistics : A Journal of Theoretical and Applied Statistics
Volume57
Issue number3
Early online date24 Apr 2023
DOIs
Publication statusPublished - 24 Apr 2023

Keywords

  • precedence test
  • weighted precedence test
  • life-testing
  • Lehmann alternative
  • level of significance

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