Models for probability and statistical inference: theory and applications
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ
Wiley
2008
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| Series: | Wiley series in probability and statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 440 S. graph. Darst. |
| ISBN: | 9780470073728 |
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Record in the Search Index
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| adam_text | MODELS FOR PROBABILITY AND STATISTICAL INFERENCE THEORY AND APPLICATIONS
JAMES H. STAPLETON MICHIGAN STATE UNIVERSITY DEPARTMENT OF STATISTICS
AND PROBABILITY EAST LANSING, MICHIGAN BICENTENNIAL 1 8 * 7 WILEY 2 * *
7 MCENTENN1AL WILEY- INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION
CONTENTS PREFACE 1. DISCRETE PROBABILITY MODELS 1.1. INTRODUCTION, 1
1.2. SAMPLE SPACES, EVENTS, AND PROBABILITY MEASURES, 2 1.3. CONDITIONAL
PROBABILITY AND INDEPENDENCE, 15 1.4. RANDOM VARIABLES, 27 1.5.
EXPECTATION, 37 1.6. THE VARIANCE, 47 1.7. COVARIANCE AND CORRELATION,
55 2. SPECIAL DISCRETE DISTRIBUTIONS 2.1. INTRODUCTION, 62 2.2. THE
BINOMIAL DISTRIBUTION, 62 2.3. THE HYPERGEOMETRIC DISTRIBUTION, 65 2.4.
THE GEOMETRIC AND NEGATIVE BINOMIAL DISTRIBUTIONS, 68 2.5. THE POISSON
DISTRIBUTION, 72 3. CONTINUOUS RANDOM VARIABLES 3.1. INTRODUCTION, 80
3.2. CONTINUOUS RANDOM VARIABLES, 80 3.3. EXPECTED VALUES AND VARIANCES
FOR CONTINUOUS RANDOM VARIABLES, 88 3.4. TRANSFORMATIONS OF RANDOM
VARIABLES, 93 3.5. JOINT DENSITIES, 97 3.6. DISTRIBUTIONS OF FUNCTIONS
OF CONTINUOUS RANDOM VARIABLES, 104 VIII CONTENTS 4. SPECIAL CONTINUOUS
DISTRIBUTIONS 110 4.1. INTRODUCTION, 110 4.2. THE NORMAL DISTRIBUTION,
111 4.3. THE GAMMA DISTRIBUTION, 117 5. CONDITIONAL DISTRIBUTIONS 125
5.1. INTRODUCTION, 125 5.2. CONDITIONAL EXPECTATIONS FOR DISCRETE RANDOM
VARIABLES, 130 5.3. CONDITIONAL DENSITIES AND EXPECTATIONS FOR
CONTINUOUS RANDOM VARIABLES, 136 6. MOMENT GENERATING FUNCTIONS AND
LIMIT THEORY 145 6.1. INTRODUCTION, 145 6.2. MOMENT GENERATING
FUNCTIONS, 145 6.3. CONVERGENCE IN PROBABILITY AND IN DISTRIBUTION AND
THE WEAK LAW OF LARGE NUMBERS, 148 6.4. THE CENTRAL LIMIT THEOREM, 155
166 7. ESTIMATION 7.1. 7.2. 7.3. 7.4. 7.5. 7.6. 7.7. 7.8. 7.9.
INTRODUCTION, 166 POINT ESTIMATION, 167 THE METHOD OF MOMENTS, 171
MAXIMUM LIKELIHOOD, 175 CONSISTENCY, 182 THE8-METHOD, 186 CONFIDENCE
INTERVALS, 191 FISHER INFORMATION, CRAMER-RAO BOUND AND ASYMPTOTIC
NORMALITY OF MLES, 201 SUFFICIENCY, 207 8. TESTING OF HYPOTHESES 215
8.1. INTRODUCTION, 215 8.2. THE NEYMAN-PEARSON LEMMA, 222 8.3. THE
LIKELIHOOD RATIO TEST, 228 8.4. THE P-VALUE AND THE RELATIONSHIP BETWEEN
TESTS OF HYPOTHESES AND CONFIDENCE INTERVALS, 233 9. THE MULTIVARIATE
NORMAL, CHI-SQUARE, T , AND F DISTRIBUTIONS 238 9.1. INTRODUCTION, 238
CONTENTS IX 9.2. THE MULTIVARIATE NORMAL DISTRIBUTION, 238 9.3. THE
CENTRAL AND NONCENTRAL CHI-SQUARE DISTRIBUTIONS, 241 9.4. STUDENT S
^-DISTRIBUTION, 245 9.5. THE F-DISTRIBUTION, 254 10. NONPARAMETRIC
STATISTICS 260 10.1. INTRODUCTION, 260 10.2. THE WILCOXON TEST AND
ESTIMATOR, 262 10.3. ONE-SAMPLE METHODS, 271 10.4. THE
KOLMOGOROV-SMIRNOV TESTS, 277 11. LINEAR STATISTICAL MODELS 281 11.1.
INTRODUCTION, 281 11.2. THE PRINCIPLE OF LEAST SQUARES, 281 11.3. LINEAR
MODELS, 290 11.4. F-TESTS FOR * 0 : 9 = SSJZ, + * * * + $ K X K E V 0 , A
SUBSPACE OF V, 299 11.5. TWO-WAY ANALYSIS OF VARIANCE, 308 12. FREQUENCY
DATA 319 12.1. INTRODUCTION, 319 12.2. CONFIDENCE INTERVALS ON BINOMIAL
AND POISSON PARAMETERS, 319 12.3. LOGISTIC REGRESSION, 324 12.4. TWO-WAY
FREQUENCY TABLES, 330 12.5. CHI-SQUARE GOODNESS-OF-FIT TESTS, 340 13.
MISCELLANEOUS TOPICS 350 13.1. INTRODUCTION, 350 13.2. SURVIVAL
ANALYSIS, 350 13.3. BOOTSTRAPPING, 355 13.4. BAYESIAN STATISTICS, 362
13.5. SAMPLING, 369 REFERENCES 378 APPENDIX 381 ANSWERS TO SELECTED
PROBLEMS 411 INDEX 437
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| institution | BVB |
| isbn | 9780470073728 |
| language | English |
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| physical | XIII, 440 S. graph. Darst. |
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| spelling | Stapleton, James H. Verfasser aut Models for probability and statistical inference theory and applications James H. Stapleton Hoboken, NJ Wiley 2008 XIII, 440 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics Probabilités - Modèles mathématiques Probabilités - Problèmes et exercices Statistique mathématique - Modèles mathématiques Statistique mathématique - Problèmes et exercices Mathematisches Modell Probabilities Industrial applications Probabilities Mathematical models Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Inferenzstatistik (DE-588)4247120-5 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Inferenzstatistik (DE-588)4247120-5 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017445604&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stapleton, James H. Models for probability and statistical inference theory and applications Probabilités - Modèles mathématiques Probabilités - Problèmes et exercices Statistique mathématique - Modèles mathématiques Statistique mathématique - Problèmes et exercices Mathematisches Modell Probabilities Industrial applications Probabilities Mathematical models Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Inferenzstatistik (DE-588)4247120-5 gnd |
| subject_GND | (DE-588)4079013-7 (DE-588)4247120-5 (DE-588)4123623-3 |
| title | Models for probability and statistical inference theory and applications |
| title_auth | Models for probability and statistical inference theory and applications |
| title_exact_search | Models for probability and statistical inference theory and applications |
| title_full | Models for probability and statistical inference theory and applications James H. Stapleton |
| title_fullStr | Models for probability and statistical inference theory and applications James H. Stapleton |
| title_full_unstemmed | Models for probability and statistical inference theory and applications James H. Stapleton |
| title_short | Models for probability and statistical inference |
| title_sort | models for probability and statistical inference theory and applications |
| title_sub | theory and applications |
| topic | Probabilités - Modèles mathématiques Probabilités - Problèmes et exercices Statistique mathématique - Modèles mathématiques Statistique mathématique - Problèmes et exercices Mathematisches Modell Probabilities Industrial applications Probabilities Mathematical models Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Inferenzstatistik (DE-588)4247120-5 gnd |
| topic_facet | Probabilités - Modèles mathématiques Probabilités - Problèmes et exercices Statistique mathématique - Modèles mathématiques Statistique mathématique - Problèmes et exercices Mathematisches Modell Probabilities Industrial applications Probabilities Mathematical models Wahrscheinlichkeitstheorie Inferenzstatistik Lehrbuch |
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