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Theory and Method

Play-the-Winner Rule and Inverse Sampling in Selecting the Better of Two Binomial Populations

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Pages 545-551 | Published online: 05 Apr 2012

References

  • Bechhofer , R. E. , Kiefer , J. and Sobel , M. 1968 . Sequential Identification and Ranking Problems , Chicago : University of Chicago Press .
  • Olkin , I. and Sobel , M. 1965 . “Integral Expressions for Tail Probabilities of the Multinomial and Negative Multinomial Distributions,” . Biometrika , 52 June : 167 – 79 .
  • Robbins , H. “A Sequential Decision Problem with a Finite Memory,” . Proceedings of the National Academy of Science, U.S.A. Vol. 42 , pp. 920 – 23 .
  • Sobel , M. and Weiss , G. H. 1970 . “Play-the-Winner Sampling for Selecting the Better of Two Binomial Populations,” . Biometrika , 57 August : 357 – 65 .
  • Sobel , M. and Weiss , G. H. 1969 . “Play-the-Winner Rule and Inverse Sampling in Selecting the Better of Two Binomial Populations,” , Minneapolis , Minnesota : Department of Statistics, University of Minnesota . Technical Report No. 124
  • Sobel , M. and Weiss , G. H. 1969 . “Play-the-Winner Rule and Inverse Sampling for Selecting the Best of k ≥ 3 Binomial Populations,” , Minneapolis , Minnesota : Department of Statistics, University of Minnesota . Technical Report No. 126
  • Szegö , G. 1939 . Orthogonal Polynomials , Vol. 23 , New York : American Mathematical Society Colloquium Publications .
  • Zelen , M. 1969 . “Play the Winner Rule and the Controlled Clinical Trial,” . Journal of the American Statistical Association , 64 March : 131 – 46 .

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