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An approach alternative to the binomial UMPU test


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


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

    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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