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Theory & Method

On the Small-Sample Properties of the Olkin-Sobel-Tong Estimator of the Probability of Correct Selection

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Pages 464-467 | Received 01 Sep 1981, Published online: 12 Mar 2012

References

  • Bechhofer , R. E. 1954 . “A Single Sample Multiple Decision Procedure for Ranking Means of Normal Populations With Known Variances,” . Annals of Mathematical Statistics , 25 : 16 – 39 .
  • Bechhofer , R. E. 1980 . Review of “Selecting and Ordering Populations: A New Statistical Methodology” . Journal of the American Statistical Association , 75 : 751 – 756 . by Gibbons, J.D., Olkin, I., and Sobel, M.
  • Faltin , F. 1980 . “A Quantile Unbiased Estimator of the Probability of Correct Selection Achieved by Bechhofer's Single-Stage Procedure for the Two Population Normal Means Problem,” . IMS Bulletin , 9 : 180 – 181 . Abstract 80t–60
  • Gibbons , J. D. , Olkin , I. and Sobel , M. 1977 . Selecting and Ordering Populations: A New Statistical Methodology , New York : John Wiley .
  • Gupta , S. S. and Panchapakesan . 1979 . Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations , New York : John Wiley .
  • Olkin , I. , Sobel , M. and Tong . 1976 . “Estimating the True Probability of a Correct Selection for Location and Scale Parameter Families,” , Stanford University, Dept. of Statistics . Technical Report 110
  • Randles , R. 1982 . “On the Asymptotic Normality of Statistics With Estimated Parameters,” . Annals of Statistics , 10 : 462 – 474 .
  • Tong , Y. L. 1980 . Probability Inequalities in Multivariate Distributions , New York : John Wiley .

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