A nonparametric sequential selection procedure

References

• Alam , K. 1971 . On selecting the most probable category . Technometrics , 13 : 843 – 850 .
   Web of Science ®Google Scholar
• Alam , K. and Thompson , J.R. 1971 . A selection procedure based on ranks . Ann. Inst. Stat. Math. , 23 : 253 – 262 .
   Google Scholar
• Alam , K. and Rizvi , M.H. 1989 . A selection procedure based on rank order Statistics . The IMS Bulletin , 18 ( 3 )
   Google Scholar
• Alam , K. , Seo , K. and Thompson , J.R. 1971 . A sequential sampling rule for selecting the most probable multinomial event . Ann. Inst. Stat. Math. , 23 ( 3 ) : 65 – 374 .
   Google Scholar
• Bartlett , N.S. and Govindarajulu , Z. 1968 . Some distribution-free statistics and their application to the selection problem . Ann. Inst. Stat. Math. , 20 ( 3 ) : 79 – 97 .
   Google Scholar
• Bechhofer , R.E. 1958 . A sequential multiple decision procedure for selecting the best one of several normal populations with a common known variance and various experimental designs . Biometrics , 14 ( 3 ) : 408 – 429 .
   Web of Science ®Google Scholar
• Bechhofer , R.E. 1970 . An undersirable feture of a sequential multiple-decision procedure for selecting the best one of several normal populations with a common known variance . Biometrics , 26 ( 3 ) : 346 – 349 . Correction Note
   Google Scholar
• Bechhofer , R.E. and Goldsman , D.M. 1987 . Truncation of the Bechhofer-Kiefer-Sobel sequential procedure for selecting the normal population which has the largest mean . Comm. Statist. Simulation Comput. , 16 ( 3 ) : 1067 – 1092 .
   Google Scholar
• Bechhofer , R.E. and Goldsman , D.M. 1987 . “ Sequential selection procedures for multi- factor experiments involving Koopman-Darmois populations with additivity ” . In Statistical Decision Theory and Related Topics - IV , Edited by: Gupta , S.S. and Berger , J.O. Vol. 2 , 3 – 22 . New York : Springer-Verlag .
   Google Scholar
• Bechhofer , R.E. and Goldsman , D.M. 1988 . Truncation of the Bechhofer-Kiefer-Sobel sequential procedure for selecting the normal population which has the largest mean (II):2-factor experiments with no interaction . Comm. Statist. Simulation Comput. , 17 : 103 – 128 .
   Web of Science ®Google Scholar
• Bechhofer , R.E. , Kiefer , J. and Sobel , M. 1968 . Sequential Identification and ranking procedures , University of Chicago Press .
   Google Scholar
• Kulkarni , R.V. 1982 . On the performance characteristics of a closed adaptive sequential procedure for selecting the best Bernoulli population . Sequential Anal. , 1 : 315 – 354 .
   Google Scholar
• Bechhofer , R.E. and Kulkarni , R.V. 1982 . “ Closed adaptive sequential procedures forselecting the best of k > 2 Bernoulli populations ” . In Statistical Decision Theory and Related Topics - III , Edited by: Gupta , S.S. and Berger , J.O. Vol. 1 , 61 – 108 . New YOrk : Academic Press .
   Google Scholar
• Bechhofer R.E. Sobel M. A sequential multiple-decision procedure for ranking means of normal populations with known variances (prelim report Abstract, Ann. Math. Statist. 24 1953 136 137
   Google Scholar
• Billingseley , P. 1968 . Convergence of Probability Measures , New York : Wiley .
   Google Scholar
• Buringer , H. , Martin , H. and Schriever , K.H. Nonparametric Sequential Selection Procedures
   Google Scholar
• Cacoullos , T. and Sobel , M. 1966 . “ An inverse sampling procedure for selecting the most probable event in a multinomial distribution ” . In Multivariate Analysis , Edited by: Krishnaiah , P.R. 423 – 455 . New York : Academic .
   Google Scholar
• Donsker , M. 1951 . An invariance principle for certain probability limit theorems . Mem. Amer. Math. Soc. , 6
   Google Scholar
• Ghosh , M. 1973 . Nonparametric Selection procedures for symmetric location parameter populations . Ann. Statist , 1 : 773 – 779 .
   Web of Science ®Google Scholar
• Gupta , S.S. and Mc Donald , G.C. 1970 . “ On some classes of selection procedures based on ranks ” . In Nonparametric Techniques in Statistical Inference , Edited by: Puri , M.L. 491 – 514 . London : Cambridge University Press .
   Google Scholar
• Gupta , S.S. and Panchapakesan , S. 1979 . Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations , New York : John Wiley & Sons .
   Google Scholar
• Gupta S. S. Panchapakesan On sequential ranking and selection procedures Tech. Report # 88-32C, Purdue University 1988
   Google Scholar
• Jennison , C. 1983 . Equal probability of correct selection for Bernoulli selection procedures . Comm. Statist. Theory Methods , 12 : 2887 – 2896 .
   Web of Science ®Google Scholar
• Jennison , C. and Kulkarni , R.V. 1984 . “ Optimal procedures for selecting the best s outof k Bernoulli populations ” . In Design of Experiments Ranking and Selection , Edited by: Santner , T.J. and Tamhane , A.C. 113 – 125 . New York : Marcel Dekker .
   Google Scholar
• Kao , S.C. and Lai , T.L. 1980 . Sequential selection procedures based on confidence sequences for normal populations . Comm. Statist. A-Theory Methods , 9 : 1657 – 1676 .
   Google Scholar
• Lehmann , E.L. 1963 . A class of selection procedures based on ranks . Math. Ann , 9 ( 150 ) : 268 – 275 .
   Google Scholar
• Milton R.C. Tables of equally correlated multivariate normal probability integral Tech. Rep. No.27. Departmental of Statistics. University of Minnesota. 1963
   Google Scholar
• Paulson , E. 1964 . A sequential procedure for selecting the population with the largest mean from K normal populations . Ann. Math. Statist. , 35 ( 150 ) : 174 – 180 .
   Google Scholar
• Paulson , E. 1967 . Sequential procedures for selecting the best one of several binomial populations . Ann. Math. Statist , 38 ( 150 ) : 117 – 123 .
   Google Scholar
• Paulson , E. 1969 . A new sequential procedure for selecting the best one of K binomial populations . Ann. Math. Statist , 40 ( 150 ) : 1865 – 1866 . Abstract
   Google Scholar
• Ramey , T.R. and Alam , K. 1979 . A sequential procedure for selecting the most probable multinominal event . Biometrika , 40 ( 150 ) : 171 – 173 .
   Google Scholar
• Randels , R.H. 1970 . Some robust selection procedures . Ann. Math. Statist , 41 ( 150 ) : 1640 – 1645 .
   Google Scholar
• Rizvi , M.H. and Woodworth , G.G. 1970 . On selection procedures based on ranks: counter examples concerning the least favorable configurations . Ann. Math. Statist , 41 ( 150 ) : 1942 – 1951 .
   Google Scholar
• Robbins , H. , Sobel , M. and Starr , N. 1968 . A sequential procedure for selecting the best of K populations . Ann. Math. Statist , 39 ( 150 ) : 88 – 92 .
   Google Scholar
• Stein , C. 1948 . The selection of the largest of a number of means Abstract . Ann. Math. Statist , 19 ( 150 ) : 1 – 429 .
   Google Scholar
• Trawinski , B.J. and David , H.A. 1963 . Selection of the best treatment in a paired comparison experiment . Ann. Math. Statist , 34 ( 150 ) : 75 – 91 .
   Google Scholar