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An approach alternative to the binomial UMPU test

Author

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  • Bandyopadhyay, Uttam
  • Mukherjee, Shirsendu
  • Dutta, Dhiman

Abstract

We consider a test based on a possible modification of the inverse binomial sampling procedure which has the same size and power as the binomial UMPU test. The proposed procedure leads to a considerable saving in trial size as compared to the fixed trial size binomial two-sided test procedure. We carry out a simulation study to evaluate the performance of the proposed methodology and compare it with a natural competitor.

Suggested Citation

  • Bandyopadhyay, Uttam & Mukherjee, Shirsendu & Dutta, Dhiman, 2013. "An approach alternative to the binomial UMPU test," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 1-6.
  • Handle: RePEc:eee:stapro:v:83:y:2013:i:1:p:1-6
    DOI: 10.1016/j.spl.2012.08.009
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    References listed on IDEAS

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    1. Uttam Bandyopadhyay, 2002. "Test of Bernoulli success probability in inverse sampling for nearer alternatives using adaptive allocation," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 56(4), pages 387-399.
    2. M. Subrahmanya, 1982. "The combined inverse binomial sampling procedure," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 29(1), pages 1-17, December.
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    Cited by:

    1. Bandyopadhyay, Uttam & Mukherjee, Shirsendu & Dutta, Dhiman, 2015. "Reducing sample size in negative binomial UMPU test," Statistics & Probability Letters, Elsevier, vol. 103(C), pages 57-61.

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