Statistical inference in science:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London
Springer
2000
|
| Schriftenreihe: | Springer series in statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 231 - 239 |
| Beschreibung: | XV, 245 S. graph. Darst. : 24 cm |
| ISBN: | 0387950192 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804128112910270464 |
|---|---|
| adam_text | SPRINGER SERIES IN STATISTICS ADVISORS: P. BICKEL, P. DIGGLE, S.
FIENBERG K. KRICKEBERG, I. OLKIN, N. WERMUTH, S. ZEGER SPRINGER NEW YORK
BERLIN HEIDELBERG BARCELONA HONG KONG LONDON MILAN PARIS SINGAPORE TOKYO
D.A. SPROTT STATISTICAL INFERENCE IN SCIENCE WITH 49 ILLUSTRATIONS
SPRINGER CONTENTS PREFACE VII LIST OF EXAMPLES XIII 1 INTRODUCTION 1 1.1
REPEATABLE EXPERIMENTS 1 1.2 PROBABILITY AND REPEATABLE EXPERIMENTS 2
1.3 STATISTICS AND REPEATABLE EXPERIMENTS 3 1.4 NOTATION 5 2 THE
LIKELIHOOD FUNCTION 7 2.1 THE LIKELIHOOD MODEL 7 2.2 THE DEFINITION OF
THE LIKELIHOOD FUNCTION 8 2.3 LIKELIHOOD AND UNCERTAINTY 9 2.4 THE
RELATIVE LIKELIHOOD FUNCTION 9 2.5 CONTINUOUS RANDOM VARIABLES 10 2.6
SCORE FUNCTION AND OBSERVED INFORMATION 11 2.7 PROPERTIES OF LIKELIHOOD
12 2.7.1 NONADDITIVITY OF LIKELIHOODS 12 2.7.2 COMBINATION OF
OBSERVATIONS 13 2.7.3 FUNCTIONAL INVARIANCE 14 2.8 LIKELIHOOD INTERVALS
14 2.9 EXAMPLES OF LIKELIHOOD INFERENCES 15 CONTENTS 2.10 NORMAL
LIKELIHOODS 33 DIVISION OF SAMPLE INFORMATION I: LIKELIHOOD 6, MODEL /
41 3.1 MINIMAL SUFFICIENT DIVISION 41 3.2 THE LIKELIHOOD FUNCTION
STATISTIC 42 3.3 MAXIMAL ANCILLARY DIVISION 44 DIVISION OF SAMPLE
INFORMATION II: LIKELIHOOD STRUCTURE 49 4.1 SEPARATE ESTIMATION:
NUISANCE PARAMETERS 49 4.2 CONDITIONAL LIKELIHOOD 50 4.3 MARGINAL
LIKELIHOOD 61 4.4 PIVOTAL LIKELIHOOD 63 4.4.1 PIVOTAL QUANTITIES 63
4.4.2 LINEAR PIVOTALS AND PIVOTAL LIKELIHOOD 64 4.5 MAXIMIZED OR PROFILE
LIKELIHOOD 66 ESTIMATION STATEMENTS 73 5.1 PIVOTAL PROBABILITIES 73 5.2
CONFIDENCE INTERVALS 74 5.3 LIKELIHOOD-CONFIDENCE INTERVALS 75 5.4
LIKELIHOOD-FIDUCIAL INTERVALS 76 5.5 LIKELIHOOD-BAYES INTERVALS 77 5.6
MAXIMUM LIKELIHOOD ESTIMATION 78 5.7 BIAS REDUCTION AND MAXIMUM
LIKELIHOOD 82 TESTS OF SIGNIFICANCE 87 6.1 THE INGREDIENTS 87 6.2
GOODNESS OF FIT 89 6.3 HOMOGENEITY 92 6.4 TESTING PARAMETRIC HYPOTHESES
97 6.4.1 THE DISTINCTION BETWEEN TESTING AND ESTIMATION 97 6.4.2 POWER
99 6.4.3 ACCEPTANCE OF THE NULL HYPOTHESIS 100 6.4.4 THE 2X2 TABLE;
CONDITIONAL INFERENCE 101 6.5 NOTES AND REFERENCES FOR CHAPTERS 1 TO 6
104 THE LOCATION-SCALE PIVOTAL MODEL 107 7.1 BASIC PIVOTALS; ROBUST
PIVOTALS 107 7.2 DIVISION OF PIVOTAL INFORMATION 108 7.3 INFERENTIAL
DISTRIBUTIONS: 109 7.4 ROBUST PIVOTAL LIKELIHOODS; ESTIMATION STATEMENTS
112 7.5 EXAMPLES 113 7.6 ROBUSTNESS 118 CONTENTS XI 7.6.1 NONADAPTIVE OR
MARGINAL ROBUSTNESS 118 7.6.2 ADAPTIVE PROCEDURES 119 7.6.3 ADAPTIVE OR
CONDITIONAL ROBUSTNESS 120 7.7 PARAMETRIC FUNCTIONS 121 7.8 PIVOTAL
MODEL: PAIRED OBSERVATIONS 132 7.9 NONPIVOTAL PARAMETERS 140 7.10
EXAMPLES OF ADAPTIVE ROBUSTNESS 141 8 THE GAUSS LINEAR MODEL 153 8.1 THE
MODEL 153 8.2 THE TRANSFORMATION 153 8.3 THE PROBABILITY DISTRIBUTIONS
154 8.4 THE NORMAL LINEAR MODEL 155 8.5 SOME SPECIAL CASES OF NONLINEAR
PIVOTALS 156 8.6 NOTES AND REFERENCES FOR CHAPTERS 7 AND 8 158 8.6.1
FIDUCIAL PROBABILITY 160 9 MAXIMUM LIKELIHOOD ESTIMATION 163 9.1
INTRODUCTION 163 9.2 APPROXIMATE N(0, 1) LINEAR PIVOTALS 166 9.3
APPROXIMATE T( ) LINEAR PIVOTALS 177 9.4 APPROXIMATE LOG F( XL , X 2 )
LINEAR PIVOTALS 179 9.5 USE OF THE PROFILE LIKELIHOOD FUNCTION 182 9.6
NOTES AND REFERENCES FOR CHAPTER 9 189 9.A APPENDIX 191 9.A.I DEGREES OF
FREEDOM OF LOG F 191 9.A.2 OBSERVED INFORMATION OF THE PROFILE
LIKELIHOOD 192 9.A.3 SYMMETRIZING THE LIKELIHOOD FUNCTION 193 10
CONTROLLED EXPERIMENTS 197 10.1 INTRODUCTION 197 10.2 CONTROLLED
EXPERIMENTS AND CAUSATION 198 10.3 RANDOM ASSIGNMENT 198 10.3.1
SCIENTIFIC PURPOSE: CAUSATION VERSUS CORRELATION 198 10.3.2 STATISTICAL
PURPOSE: TESTS OF SIGNIFICANCE 199 10.4 CAUSAL VERSUS STATISTICAL
INFERENCE 201 10.5 CONCLUSION 202 11 PROBLEMS 203 REFERENCES 231 INDEX
241
|
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| ctrlnum | (OCoLC)43662017 (DE-599)BVBBV013338643 |
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| dewey-raw | 001.4/22 |
| dewey-search | 001.4/22 |
| dewey-sort | 11.4 222 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Allgemeines Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:44:04Z |
| institution | BVB |
| isbn | 0387950192 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009096094 |
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| physical | XV, 245 S. graph. Darst. : 24 cm |
| publishDate | 2000 |
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| publisher | Springer |
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| spelling | Sprott, David A. 1930- Verfasser (DE-588)170458164 aut Statistical inference in science D. A. Sprott New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London Springer 2000 XV, 245 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Springer series in statistics Literaturverz. S. 231 - 239 Recherche - Méthodes statistiques Recherche - Méthodes statistiques ram Statistische methoden gtt Research Statistical methods Statistische Schlussweise (DE-588)4182963-3 gnd rswk-swf Statistische Schlussweise (DE-588)4182963-3 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009096094&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sprott, David A. 1930- Statistical inference in science Recherche - Méthodes statistiques Recherche - Méthodes statistiques ram Statistische methoden gtt Research Statistical methods Statistische Schlussweise (DE-588)4182963-3 gnd |
| subject_GND | (DE-588)4182963-3 |
| title | Statistical inference in science |
| title_auth | Statistical inference in science |
| title_exact_search | Statistical inference in science |
| title_full | Statistical inference in science D. A. Sprott |
| title_fullStr | Statistical inference in science D. A. Sprott |
| title_full_unstemmed | Statistical inference in science D. A. Sprott |
| title_short | Statistical inference in science |
| title_sort | statistical inference in science |
| topic | Recherche - Méthodes statistiques Recherche - Méthodes statistiques ram Statistische methoden gtt Research Statistical methods Statistische Schlussweise (DE-588)4182963-3 gnd |
| topic_facet | Recherche - Méthodes statistiques Statistische methoden Research Statistical methods Statistische Schlussweise |
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