Bootstrap selection procedures based on robust estimators

References

• Andrew , D.F. , Bickel , P.J. , Hampel , F.R. , Huber , P.J. , Rogers , W.H. and Tukey , J.W. 1972 . obust estimates f locatin: Survey and advances , Princetn : Princeton University Press .
   Google Scholar
• 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
• Bickel , P.J. 1976 . Another look at robustness: A review of reviews and some new developments . Scand. J. Statist , 3 : 145 – 168 .
   Google Scholar
• Bickel , P.J. and Freedman , D.A. 1981 . Some asymptotic theory for the bootstrap . Ann. Statist , 9 : 1169 – 1217 .
   Google Scholar
• Breiman L. Addison-Wesley 1968 Probability.
   Google Scholar
• Carroll , R.J. , Gupta , S.S. and Huang , D.Y. 1975 . On selection procedures for the t best populations and some related pro- blems . Comrnun. Statist , 4 : 987 – 1008 .
   Google Scholar
• Chen , H.J. 1980 . On selecting a subset which contains all populations better than a control . Comun. Statist.-Theor.Meth , 9 ( 8 ) : 851 – 864 .
   Google Scholar
• Desu , M.M. 1970 . A selection proble . problem. Ann. Math. Statis , 41 ( 8 ) : 1596 – 1603 .
   Google Scholar
• Dudewicz , E.J. and Dalal , S.R. 1975 . Allocation of observations in ranking and selection with unequal variances . variances, Sankhya , 37 ( 8 ) : 28 – 78 .
   Google Scholar
• Efron , B. 1979 . Bootstrap methods: another look at the jackknif . Ann. Statis , 7 ( 8 ) : 1 – 26 .
   Google Scholar
• Fabian , V. 1962 . On multiple decision methods for ranking population means . Ann. Math. Statis , 33 ( 8 ) : 248 – 254 .
   Google Scholar
• Gupta S.S. On a decision rule for a problem in ranking means Institute of Statistics, University of North Carolina Chapel Hill, N.C. 1956 Mimeograph Series No. 150
   Google Scholar
• Gupta , S.S. 1963 . Probability integrals of the multivariate nor- mal and multivariate t . Ann. Math. Statist , 34 ( 8 ) : 792 – 828 .
   Google Scholar
• Gupta , S.S. 1965 . On some multiple decision (selection and ranking) rules . Technometrica , 7 ( 8 ) : 225 – 245 .
   Google Scholar
• Gupta , S.S. , Nagel , K. and panchapakesan , S. 1973 . On the order statistics from equally correlated normal random variables . Biometrika , 60 ( 8 ) : 403 – 413 .
   Google Scholar
• Gupta , S.S. and Leong , Y.K. 1979 . “ Some results on subset selection procedures for double exponential populations ” . In Decision Information , Edited by: Tsokos , C.P. and Thrall , R.M. 277 – 305 . New York : Academic Press, Inc .
   Google Scholar
• Gupta , S.S. and Panchapakesan , S. 1979 . Multiple Decision Procedures: Theory and methodology of selecting and ranking populations , New York : John Wiley and Sons Inc .
   Google Scholar
• Gupta , S.S. and singh , A.K. 1980 . On rules based on sample medians for selection of the largest location parameter . Commun. Statist.-Theor.Met , 9 ( 12 ) : 1277 – 1298 .
   Web of Science ®Google Scholar
• Lorenzen , T.J. and Mcdonald , G.C. 1981 . Selecting logistic populations using the sample medians . Commun. Statist.-Theor. Meth , 10 ( 2 ) : 101 – 124 .
   Web of Science ®Google Scholar
• Panchapakesan , S. and Santner , T.J. 1977 . Subset selection proce- dures for Ap-superior populations . Commun.Statist.-Theor.Meth , 6 ( 2 ) : 1081 – 1090 .
   Google Scholar
• Santner , T.J. 1976 . A two-stage procedure for selecting optimal means in the normal model . Comun. Statist.-Theor. Meth , 5 ( 3 ) : 283 – 292 .
   Google Scholar
• Singh , K. 1981 . On the asymptotic accuracy of Efron's bootstrap . Ann. Statist , 9 ( 3 ) : 1187 – 1195 .
   Google Scholar