Verfügbarkeit: Theoretical statistics | Technische Universität München

Theoretical statistics:

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Bibliographische Detailangaben
Beteiligte Personen:	Cox, David R. 1924-2022 (VerfasserIn), Hinkley, David V. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	London Chapman and Hall 1974
Ausgabe:	1. publ.
Schlagwörter:	Estimation, Théorie de l' Statistique mathématique Tests d'hypothèses (Statistique) Mathematical statistics Statistik Theorie
Links:	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
Umfang:	XII, 511 S.
ISBN:	0412124203

Internformat

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Datensatz im Suchindex

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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
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author	Cox, David R. 1924-2022 Hinkley, David V.
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dewey-tens	510 - Mathematics
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illustrated	Not Illustrated
indexdate	2024-12-20T12:43:50Z
institution	BVB
isbn	0412124203
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-015087201
oclc_num	1055113
open_access_boolean
owner	DE-706
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physical	XII, 511 S.
publishDate	1974
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publisher	Chapman and Hall
record_format	marc
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_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
work_keys_str_mv	AT coxdavidr theoreticalstatistics AT hinkleydavidv theoreticalstatistics

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