Theoretical statistics:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Chapman and Hall
1974
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 511 S. |
| ISBN: | 0412124203 |
Internformat
MARC
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| 100 | 1 | |a Cox, David R. |d 1924-2022 |e Verfasser |0 (DE-588)119013169 |4 aut | |
| 245 | 1 | 0 | |a Theoretical statistics |c D. R. Cox ; D. V. Hinkley |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a London |b Chapman and Hall |c 1974 | |
| 300 | |a XII, 511 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Estimation, Théorie de l' | |
| 650 | 4 | |a Statistique mathématique | |
| 650 | 4 | |a Tests d'hypothèses (Statistique) | |
| 650 | 4 | |a Mathematical statistics | |
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Datensatz im Suchindex
| _version_ | 1804135809701380096 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
PREFACE PAGE
CHAPTER 1 INTRODUCTION 1.1 OBJECTIVES OF STATISTICAL ANALYSIS AND THEORY
1.2 CRITERIA FOR THE CHOICE OF FAMILIES OF MODELS 1.3 THE ANALYSIS OF
COMPLEX RESPONSES 1.4 PLAN OF THE BOOK BIBLIOGRAPHIC NOTES
CHAPTER 2 SOME GENERAL CONCEPTS 2.1 THE LIKELIHOOD 2.2 SUFFICIENT
STATISTICS 2.3 SOME GENERAL PRINCIPLES OF STATISTICAL INFERENCE
2.4 SOME APPROACHES TO STATISTICAL INFERENCE BIBLIOGRAPHIC NOTES FURTHER
RESULTS AND EXERCISES
CHAPTER 3 PURE SIGNIFICANCE TESTS 3.1 NULL HYPOTHESES 3.2 TEST
STATISTICS AND THEIR NULL DISTRIBUTIONS 3.3 COMPOSITE NULL HYPOTHESES
3.4 DISCUSSION BIBLIOGRAPHIC NOTES FURTHER RESULTS AND EXERCISES
CHAPTER 4 SIGNIFICANCE TESTS: SIMPLE NULL HYPOTHESES 4.1 GENERAL 4.2
FORMULATION 4.3 SIMPLE NULL HYPOTHESIS AND SIMPLE ALTERNATIVE
HYPOTHESIS 4.4 SOME EXAMPLES 4.5 DISCRETE PROBLEMS 4.6 COMPOSITE
ALTERNATIVES 4.7 TWO-SIDED TESTS
IMAGE 2
4.8 LOCAL POWER PAGE 106
4.9 MULTIDIMENSIONAL ALTERNATIVES 121
BIBLIOGRAPHIC NOTES 125
FURTHER RESULTS AND EXERCISES 126
CHAPTER 5 SIGNIFICANCE TESTS: COMPOSITE NULL HYPOTHESES 131 5.1 GENERAL
131
5.2 SIMILAR REGIONS 134
5.3 INVARIANT TESTS 157
5.4 SOME MORE DIFFICULT PROBLEMS 171
BIBLIOGRAPHIC NOTES 174
FURTHER RESULTS AND EXERCISES 175
CHAPTER 6 DISTRIBUTION-FREE AND RANDOMIZATION TESTS 179
6.1 GENERAL 179
6.2 PERMUTATION TESTS 182
6.3 RANK TESTS 187
6.4 RANDOMIZATION TESTS 196
6.5 DISTANCE TESTS 198
BIBLIOGRAPHIC NOTES 202
FURTHER RESULTS AND EXERCISES 203
CHAPTER 7 INTERVAL ESTIMATION 207
7.1 INTRODUCTION 207
7.2 SCALAR PARAMETER 208
7.3 SCALAR PARAMETER WITH NUISANCE PARAMETERS 228 7.4 VECTOR PARAMETER
236
7.5 ESTIMATION OF FUTURE OBSERVATIONS 242
BIBLIOGRAPHIC NOTES 246
FURTHER RESULTS AND EXERCISES 247
CHAPTER 8 POINT ESTIMATION 250
8.1 GENERAL 250
8.2 GENERAL CONSIDERATIONS ON BIAS AND VARIANCE 252 8.3 CRAMER-RAO
INEQUALITY 254
8.4 ACHIEVEMENT OF MINIMUM VARIANCE AND 258
REMOVAL OF BIAS 8.5 ESTIMATES OF MINIMUM MEAN SQUARED ERROR 266 8.6
ROBUST ESTIMATION 270
BIBLIOGRAPHIC NOTES 272
IMAGE 3
FURTHER RESULTS AND EXERCISES PAGE 273
CHAPTER 9 ASYMPTOTIC THEORY 279
9.1 INTRODUCTION 279
9.2 MAXIMUM LIKELIHOOD ESTIMATES 283
9.3 LARGE-SAMPLE PARAMETRIC SIGNIFICANCE TESTS 311 9.4 ROBUST INFERENCE
FOR LOCATION PARAMETERS 344 BIBLIOGRAPHIC NOTES 354
FURTHER RESULTS AND EXERCISES 356
CHAPTER 10 BAYESIAN METHODS 364
10.1 INTRODUCTION 364
10.2 BAYES S THEOREM 365
10.3 CONJUGATE PRIOR DISTRIBUTIONS 369
10.4 INTERPRETATION OF BAYESIAN PROBABILITY STATEMENTS 375 10.5 BAYESIAN
VERSIONS OF SOME PREVIOUS TYPES OF 390 PROCEDURE 10.6 ASYMPTOTIC
BAYESIAN THEORY 399
10.7 EMPIRICAL BAYES PROCEDURES 400
BIBLIOGRAPHIC NOTES 406
FURTHER RESULTS AND EXERCISES 406
CHAPTER 11 DECISION THEORY 412
11.1 EXAMPLES OF STATISTICAL DECISION PROBLEMS 412 11.2 FORMULATION OF
TERMINAL DECISION PROBLEMS 415 11.3 SOLUTION OF THE FULLY SPECIFIED
TERMINAL 417 DECISION PROBLEM 11.4 UTILITY
11.5 INCOMPLETELY SPECIFIED DECISION PROBLEMS 426 11.6 DECISION THEORY
WITHOUT PRIOR DISTRIBUTIONS 429 11.7 DECISION THEORY REPRESENTATION OF
COMMON 441 PROBLEMS 11.8 A REMARKABLE CASE OF INADMISSIBILITY 445
11.9 SEQUENTIAL DECISION PROBLEMS 45 1
BIBLIOGRAPHIC NOTES 458
FURTHER RESULTS AND EXERCISES 459
APPENDIX 1 DETERMINATION OF PROBABILITY DISTRIBUTIONS 462
APPENDIX 2 ORDER STATISTICS 466
IMAGE 4
CONTENTS
A2.1 GENERAL PROPERTIES PAGE 466
A2.2 SPECIAL DISTRIBUTIONS 467
A2.3 ASYMPTOTIC DISTRIBUTIONS 468
A2.4 LINEAR COMBINATIONS OF ORDER STATISTICS 470 A2.5 EXTREME VALUE
THEORY 472
BIBLIOGRAPHIC NOTES 474
APPENDIX 3 SECOND-ORDER REGRESSION FOR ARBITRARY RANDOM 475 VARIABLES
REFERENCES 478
AUTHOR INDEX 496
SUBJECT INDEX 499
|
| adam_txt |
IMAGE 1
CONTENTS
PREFACE PAGE
CHAPTER 1 INTRODUCTION 1.1 OBJECTIVES OF STATISTICAL ANALYSIS AND THEORY
1.2 CRITERIA FOR THE CHOICE OF FAMILIES OF MODELS 1.3 THE ANALYSIS OF
COMPLEX RESPONSES 1.4 PLAN OF THE BOOK BIBLIOGRAPHIC NOTES
CHAPTER 2 SOME GENERAL CONCEPTS 2.1 THE LIKELIHOOD 2.2 SUFFICIENT
STATISTICS 2.3 SOME GENERAL PRINCIPLES OF STATISTICAL INFERENCE
2.4 SOME APPROACHES TO STATISTICAL INFERENCE BIBLIOGRAPHIC NOTES FURTHER
RESULTS AND EXERCISES
CHAPTER 3 PURE SIGNIFICANCE TESTS 3.1 NULL HYPOTHESES 3.2 TEST
STATISTICS AND THEIR NULL DISTRIBUTIONS 3.3 COMPOSITE NULL HYPOTHESES
3.4 DISCUSSION BIBLIOGRAPHIC NOTES FURTHER RESULTS AND EXERCISES
CHAPTER 4 SIGNIFICANCE TESTS: SIMPLE NULL HYPOTHESES 4.1 GENERAL 4.2
FORMULATION 4.3 SIMPLE NULL HYPOTHESIS AND SIMPLE ALTERNATIVE
HYPOTHESIS 4.4 SOME EXAMPLES 4.5 DISCRETE PROBLEMS 4.6 COMPOSITE
ALTERNATIVES 4.7 TWO-SIDED TESTS
IMAGE 2
4.8 LOCAL POWER PAGE 106
4.9 MULTIDIMENSIONAL ALTERNATIVES 121
BIBLIOGRAPHIC NOTES 125
FURTHER RESULTS AND EXERCISES 126
CHAPTER 5 SIGNIFICANCE TESTS: COMPOSITE NULL HYPOTHESES 131 5.1 GENERAL
131
5.2 SIMILAR REGIONS 134
5.3 INVARIANT TESTS 157
5.4 SOME MORE DIFFICULT PROBLEMS 171
BIBLIOGRAPHIC NOTES 174
FURTHER RESULTS AND EXERCISES 175
CHAPTER 6 DISTRIBUTION-FREE AND RANDOMIZATION TESTS 179
6.1 GENERAL 179
6.2 PERMUTATION TESTS 182
6.3 RANK TESTS 187
6.4 RANDOMIZATION TESTS 196
6.5 DISTANCE TESTS 198
BIBLIOGRAPHIC NOTES 202
FURTHER RESULTS AND EXERCISES 203
CHAPTER 7 INTERVAL ESTIMATION 207
7.1 INTRODUCTION 207
7.2 SCALAR PARAMETER 208
7.3 SCALAR PARAMETER WITH NUISANCE PARAMETERS 228 7.4 VECTOR PARAMETER
236
7.5 ESTIMATION OF FUTURE OBSERVATIONS 242
BIBLIOGRAPHIC NOTES 246
FURTHER RESULTS AND EXERCISES 247
CHAPTER 8 POINT ESTIMATION 250
8.1 GENERAL 250
8.2 GENERAL CONSIDERATIONS ON BIAS AND VARIANCE 252 8.3 CRAMER-RAO
INEQUALITY 254
8.4 ACHIEVEMENT OF MINIMUM VARIANCE AND 258
REMOVAL OF BIAS 8.5 ESTIMATES OF MINIMUM MEAN SQUARED ERROR 266 8.6
ROBUST ESTIMATION 270
BIBLIOGRAPHIC NOTES 272
IMAGE 3
FURTHER RESULTS AND EXERCISES PAGE 273
CHAPTER 9 ASYMPTOTIC THEORY 279
9.1 INTRODUCTION 279
9.2 MAXIMUM LIKELIHOOD ESTIMATES 283
9.3 LARGE-SAMPLE PARAMETRIC SIGNIFICANCE TESTS 311 9.4 ROBUST INFERENCE
FOR LOCATION PARAMETERS 344 BIBLIOGRAPHIC NOTES 354
FURTHER RESULTS AND EXERCISES 356
CHAPTER 10 BAYESIAN METHODS 364
10.1 INTRODUCTION 364
10.2 BAYES'S THEOREM 365
10.3 CONJUGATE PRIOR DISTRIBUTIONS 369
10.4 INTERPRETATION OF BAYESIAN PROBABILITY STATEMENTS 375 10.5 BAYESIAN
VERSIONS OF SOME PREVIOUS TYPES OF 390 PROCEDURE 10.6 ASYMPTOTIC
BAYESIAN THEORY 399
10.7 EMPIRICAL BAYES PROCEDURES 400
BIBLIOGRAPHIC NOTES 406
FURTHER RESULTS AND EXERCISES 406
CHAPTER 11 DECISION THEORY 412
11.1 EXAMPLES OF STATISTICAL DECISION PROBLEMS 412 11.2 FORMULATION OF
TERMINAL DECISION PROBLEMS 415 11.3 SOLUTION OF THE FULLY SPECIFIED
TERMINAL 417 DECISION PROBLEM 11.4 UTILITY
11.5 INCOMPLETELY SPECIFIED DECISION PROBLEMS 426 11.6 DECISION THEORY
WITHOUT PRIOR DISTRIBUTIONS 429 11.7 DECISION THEORY REPRESENTATION OF
COMMON 441 PROBLEMS 11.8 A REMARKABLE CASE OF INADMISSIBILITY 445
11.9 SEQUENTIAL DECISION PROBLEMS 45 1
BIBLIOGRAPHIC NOTES 458
FURTHER RESULTS AND EXERCISES 459
APPENDIX 1 DETERMINATION OF PROBABILITY DISTRIBUTIONS 462
APPENDIX 2 ORDER STATISTICS 466
IMAGE 4
CONTENTS
A2.1 GENERAL PROPERTIES PAGE 466
A2.2 SPECIAL DISTRIBUTIONS 467
A2.3 ASYMPTOTIC DISTRIBUTIONS 468
A2.4 LINEAR COMBINATIONS OF ORDER STATISTICS 470 A2.5 EXTREME VALUE
THEORY 472
BIBLIOGRAPHIC NOTES 474
APPENDIX 3 SECOND-ORDER REGRESSION FOR ARBITRARY RANDOM 475 VARIABLES
REFERENCES 478
AUTHOR INDEX 496
SUBJECT INDEX 499 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:03:24Z |
| indexdate | 2024-07-09T20:46:24Z |
| institution | BVB |
| isbn | 0412124203 |
| language | English |
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| spelling | Cox, David R. 1924-2022 Verfasser (DE-588)119013169 aut Theoretical statistics D. R. Cox ; D. V. Hinkley 1. publ. London Chapman and Hall 1974 XII, 511 S. txt rdacontent n rdamedia nc rdacarrier Estimation, Théorie de l' Statistique mathématique Tests d'hypothèses (Statistique) Mathematical statistics Statistik (DE-588)4056995-0 gnd rswk-swf Theorie (DE-588)4059787-8 gnd rswk-swf Statistik (DE-588)4056995-0 s Theorie (DE-588)4059787-8 s 1\p DE-604 Hinkley, David V. Verfasser (DE-588)123994128 aut SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015087201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cox, David R. 1924-2022 Hinkley, David V. Theoretical statistics Estimation, Théorie de l' Statistique mathématique Tests d'hypothèses (Statistique) Mathematical statistics Statistik (DE-588)4056995-0 gnd Theorie (DE-588)4059787-8 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4059787-8 |
| title | Theoretical statistics |
| title_auth | Theoretical statistics |
| title_exact_search | Theoretical statistics |
| title_exact_search_txtP | Theoretical statistics |
| title_full | Theoretical statistics D. R. Cox ; D. V. Hinkley |
| title_fullStr | Theoretical statistics D. R. Cox ; D. V. Hinkley |
| title_full_unstemmed | Theoretical statistics D. R. Cox ; D. V. Hinkley |
| title_short | Theoretical statistics |
| title_sort | theoretical statistics |
| topic | Estimation, Théorie de l' Statistique mathématique Tests d'hypothèses (Statistique) Mathematical statistics Statistik (DE-588)4056995-0 gnd Theorie (DE-588)4059787-8 gnd |
| topic_facet | Estimation, Théorie de l' Statistique mathématique Tests d'hypothèses (Statistique) Mathematical statistics Statistik Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015087201&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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