Conditional probability of correct selection under the continuum partition with applications

Bibliography

• Bechhofer , R.E. 1954 . A single-sample multiple decision procedure for ranking means of normal populations with known variances . Ann. Math, Statist , 25 : 16 – 39 .
   Google Scholar
• Bechhofer , R.E. , Kiefer , J. and Sobel , M. 1968 . Sequential identification and ranking procedures , The University of Chicago Press .
   Google Scholar
• Brownie , C. and Kiefer , J. 1977 . The ideas of conditional confidence in the simplest setting . Communications in Siaiisiics , A6 ( 8 ) : 691 – 751 .
   Web of Science ®Google Scholar
• Desu , M.M. and Sobel , M. 1968 . A fixed subset-size approach to a selection problem . Biometrika , 55 ( 8 ) : 401 – 410 . Corrections and amendments: 63 (1976), 685
   Web of Science ®Google Scholar
• Fabian , V. 1962 . On multiple decision methods for ranking population means . Ann. Math. Statist , 33 ( 8 ) : 248 – 254 .
   Google Scholar
• Gupta , S.S. “ On a decision rule for a problem in ranking means ” . In PhD Thesis, Inst, of Statist , Univ. of North Carolina .
   Google Scholar
• Gupta , S.S. and Sobel , M. 1960 . “ Selecting a subset containing the best of several binomial populations ” . In Contributions to Probability and Statistics , Edited by: Olkin , I. 224 – 248 . Stanford, California : Stanford Univ. Press .
   Google Scholar
• Gupta , S.S. , Huang , D.Y. and Huang , W.T. 1976 . “ On ranking and selection procedures and tests of homogeneity for binomial populations ” . In Essays in Probability and Statistics , Edited by: Jkeda , S. 501 – 533 . Tokyo : Shinko Tsusho Co, Ltd. .
   Google Scholar
• Gupta , S.S. and Panchapakesan , S. 1979 . Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations , New York : John Wiley .
   Google Scholar
• Hoel , D.G. 1971 . “ A selection procedure based upon Waldos double dichotomy test ” . In Oak Ridge National Laboratory Technical Report No. TM-3237 Oak Ridge, Tennessee
   Google Scholar
• Hoel , D.G. and Sobel , M. 1972 . “ Comparisons of sequential procedures for selecting the best binomial population ” . In Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability , Edited by: Cam , L.Le , Neyman , J. and Scott , E.L. Vol. IV , 717 – 736 . Berkeley, Los Angeles : Univ. of California Press .
   Google Scholar
• Kiefer , J. 1975 . “ Conditional confidence and estimated confidence in multi-decision problems ( with applications to selection and ranking ) ” . In Proceedings of the Fourth Dayton Multivariate conference , Edited by: Krishnaiah , P.R. 143 – 158 . North Holland Publishing Co. .
   Google Scholar
• Kiefer , J. 1976 . Admissibility of conditional confidence procedures . An-nals of Statistics , 4 : 836 – 885 .
   Google Scholar
• 1977 . Conditional confidence statements and confidence estimators . Journal of the American Statistical Association , 72 : 789 – 827 . ( with comments)
   Web of Science ®Google Scholar
• Lehmann , E.L. 1986 . Testing Statistical Hypotheses , New York : John Wiley .
   Google Scholar
• Liu , W. 1991 . “ A sequential procedure with elimination for selecting the best of k normal populations ” . In Manuscript, Dept. of Mathematics , England : Univ. of Southampton .
   Google Scholar
• Mahamunulu , D.M. 1967 . Some fixed-sample ranking and selection problems . Ann. Math, Statist , 38 : 1079 – 1091 .
   Google Scholar
• Paulson , E. 1967 . Sequential procedures for selecting the best one of several binomial populations . Ann. Math. Statist , 38 : 117 – 123 .
   Google Scholar
• Paulson , E. 1969 . A new sequential procedures for selecting the best one of k binomial populations . Ann. Math. Staist , 40 : 1865 – 1866 .
   Google Scholar
• Sobel , M. and Huyett , M.J. 1957 . Selecting the best one of several binomial populations . Belt System Tech. J. , 36 : 537 – 576 .
   Google Scholar
• Sobel , M. and Weiss , G.H. 1972a . “ Comparisons of sequential procedures for selecting the best binomial population ” . In Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability , Edited by: Cam , L.Le , Neyman , J. and Scott , E.L. Vol. I , 717 – 736 . Berkeley, Los Angeles : Univ. of California Press .
   Google Scholar
• Sobel , M. and Weiss , G.H. 1972b . Play-the-winner rule and inverse sampling for selecting the best of k > 3 binomial populations . Ann. Math. Statist , 43 : 1808 – 1825 .
   Google Scholar