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Test of Bernoulli success probability in inverse sampling for nearer alternatives using adaptive allocation

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  • Uttam Bandyopadhyay
  • Atanu Biswas

Abstract

This paper provides a test procedure for the problem of testing Bernoulli success probability in the case of costly trials when an inverse sampling is carried out. The proposed test is based on a two population adaptive sampling scheme used in clinical trials. Some exact and asymptotic results related to the test are studied. The proposed procedure is applicable where the alternatives are not too far from the null hypothetical value.

Suggested Citation

  • Uttam Bandyopadhyay & Atanu Biswas, 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, November.
    • Handle: RePEc:bla:stanee:v:56:y:2002:i:4:p:387-399
    DOI: 10.1111/1467-9574.00208
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    Cited by:

    1. 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.
    2. Alessandro Baldi Antognini & Alessandra Giovagnoli, 2006. "On the asymptotic inference for response-adaptive experiments," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 29-45.
    3. 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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