Choice of sample size for testing the p(x > y)

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This paper consider the choice of sample size for experiments concerned with inference on R = P(Y > X) where X and Y are random variables, in an acceptance sampling theory framework. The following cases are considered: X and Y independent exponential variates, X and Y dependent normal variates, X and Y independent normal variables, and the nonparametric case.

Original languageEnglish
Pages (from-to)559-569
Number of pages11
JournalCommunications in Statistics - Theory and Methods
Issue number3
StatePublished - 1 Jan 1992

Bibliographical note

Funding Information:
The authors thank Boon Ping Chew for programming assistance and a referee for his helpful comments. I. Guttman was supported by a grant from NSERC, through Grant NoA8743. Part of this work was conducted while B. Reiser was visiting the Department of Statistics, Temple University and their kind hospitality is acknowledged.


  • acceptance sampling
  • reliability
  • sample size
  • stress-strength models

ASJC Scopus subject areas

  • Statistics and Probability


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