LEADER 04752nam 2200601 450 001 9910786641903321 005 20230120014707.0 010 $a1-4832-5955-2 035 $a(CKB)3710000000200698 035 $a(EBL)1901593 035 $a(SSID)ssj0001441736 035 $a(PQKBManifestationID)11804060 035 $a(PQKBTitleCode)TC0001441736 035 $a(PQKBWorkID)11412589 035 $a(PQKB)10027119 035 $a(MiAaPQ)EBC1901593 035 $a(EXLCZ)993710000000200698 100 $a20150202h19821982 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aStatistical decision theory and related topics III$hVolume 2 /$fedited by Shanti S. Gupta and James O. Berger 210 1$aNew York ;$aLondon, England :$cAcademic Press,$d1982. 210 4$d©1982 215 $a1 online resource (551 p.) 300 $a"Proceedings of the Third Purdue Symposium on Statistical Decision Theory and Related Topics, held at Purdue University on June 1-5, 1981"--T.p. verso. 311 $a1-322-55908-2 311 $a0-12-307502-5 320 $aIncludes bibliographical references at the end of each chapters. 327 $aFront Cover; Statistical Decision Theory and Related Topics III; Copyright Page; Table of Contents; CONTRIBUTORS; PREFACE; CONTENTS OF VOLUME 1; CHAPTER 1. SOME LOCALLY OPTIMAL SUBSET SELECTION RULES BASED ON RANKS; I. INTRODUCTION; II. SELECTING THE BEST POPULATION; III. COMPARISON WITH A CONTROL; REFERENCES; CHAPTER 2. CERTAIN BOUNDS ON THE CLASS OF ADMISSIBLE ESTIMATORS IN CONTINUOUS EXPONENTIAL FAMILIES; I. INTRODUCTION; II. A PRELIMINARY LEMMA; III. INADMISSIBILITY RESULTS; IV. REMARKS AND GENERALIZATIONS; ACKNOWLEDGMENT; REFERENCES 327 $aCHAPTER 3. RIDGE TYPE ESTIMATORS OF MULTINOMIAL CELL PROBABILITIESI. INTRODUCTION AND SUMMARY; II. RIDGE ESTIMATION; III. RIDGE ESTIMATORS OF p; IV. SMALL SAMPLE SITUATIONS; V. DISCUSSION; ACKNOWLEDGMENT; REFERENCES; CHAPTER 4. ASYMPTOTICALLY OPTIMAL PROCEDURES FOR SEQUENTIAL ADAPTIVE SELECTION OF THE BEST OF SEVERAL NORMAL MEANS; 1. INTRODUCTION; II. ELIMINATION PROCEDURES WITH VECTOR AT A TIME SAMPLING; III. ELIMINATION PROCEDURES WITH ADAPTIVE SAMPLING; REFERENCES; CHAPTER 5. MODEL ROBUST CONFIDENCE INTERVALS II; I. INTRODUCTION; II. CONFIDENCE INTERVAL; III. CONFIDENCE BANDS; REFERENCES 327 $aCHAPTER 6. ADAPTIVE DESIGN AND THE MULTIPERIOD CONTROL PROBLEMI. INTRODUCTION AND SUMMARY; II. BAYES SOLUTION TO THE MULTIPERIOD CONTROL PROBLEM IN THE CASE OF KNOWN ?; REFERENCES; CHAPTER 7. ON THE RISK OF BAYES ESTIMATES; I. INTRODUCTION; II. MAIN ASSUMPTIONS AND GENERAL INEQUALITIES; III. TESTS BETWEEN HELLINGER BALLS; IV. BOUNDS ON BAYES RISKS; V. COMPARISON WITH OTHER ESTIMATES; REFERENCES; CHAPTER 8. THE MINIMAL· COMPLETE CLASS OF PROCEDURES FOR COMBINING INDEPENDENT NONCENTRAL F-TESTS; I. INTRODUCTION; II. COMPLETE CLASS RESULTS; III. THE CONSTANT r(v, ?) 327 $aIV. PRELIMINARIES FOR THE NONPARAMETRIC TESTSV. INVERSE NORMAL PROCEDURE (1.10); VI. INVERSE LOGISTIC PROCEDURE (1.11); VII. SUMS OF pi 's (1.12); VIII. FISHER'S PARAMETRIC TEST (1. 3); IX. THE TEST (1.14); APPENDIX: COMPUTATIONS; REFERENCES; CHAPTER 9. RIDGE ESTIMATORS AS CONSTRAINED GENERALIZED LEAST SQUARES; I. INTRODUCTION; II. CONVEXITY OF THE GENERALIZED SUM OF SQUARES AND CONCAVITY OF THE CONSTRAINT; III. CONSTRAINED OPTIMIZATION; IV. CONCLUDING REMARKS; ACKNOWLEDGEMENT; REFERENCES 327 $aCHAPTER 10. BOUNDS FOR A K-FOLD INTEGRAL FOR LOCATION AND SCALE PARAMETER MODELS WITH APPLICATIONS TO STATISTICAL RANKING AND SELECTION PROBLEMSI. INTRODUCTION; II. THE MAIN BOUNDS; III. APPROXIMATIONS; IV. LIMITING DISTRIBUTION OF THE ESTIMATOR OF THE PCS FOR THE LOCATION PARAMETER MODEL; V. BOUNDS ON THE PROBABILITY FUNCTION OF A CORRECT COMPLETE RANKING; APPENDIX TO SECTION 3; REFERENCES; CHAPTER 11. THE ASYMPTOTIC DISTRIBUTION THEORY OF ONE SAMPLE SIGNED RANK STATISTIC; I. INTRODUCTION; II. PRELIMINARIES; III. THE ASYMPTOTIC NORMALITY OF SN+; IV. THE RATE OF CONVERGENCE; ACKNOWLEDGMENT 327 $aREFERENCES 330 $aStatistical Decision Theory and Related Topics III 606 $aStatistical decision$vCongresses 615 0$aStatistical decision 676 $a519.5/42 676 $a519.542 702 $aGupta$b Shanti Swarup$f1925- 702 $aBerger$b James O. 712 02$aPurdue University. 712 12$aPurdue Symposium on Statistical Decision Theory and Related Topics$d(3rd :$f1981 :$ePurdue University) 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910786641903321 996 $aStatistical decision theory and related topics III$93836039 997 $aUNINA