Statistical analysis of reliability data:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
London [u.a.]
Chapman & Hall
1995
|
| Edition: | Reprinted |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 250 S. graph. Darst. |
| ISBN: | 0412594803 |
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Record in the Search Index
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|---|---|
| adam_text | STATISTICAL ANALYSIS OF RELIABILITY DATA M. J. CROWDER SENIOR LECTURER
UNIVERSITY OF SURREY, UK A. C. KIMBER LECTURER UNIVERSITY OF SURREY, UK
R. L. SMITH PROFESSOR OF STATISTICS UNIVERSITY OF NORTH CAROLINA, USA
AND T. J. SWEETING READER IN STATISTICS UNIVERSITY OF SURREY, UK CHAPMAN
& HALL LONDON * GLASGOW * WEINHEIM * NEW YORK * TOKYO * MELBOURNE *
MADRAS BS CONTENTS PREFACE IX 1 STATISTICAL CONCEPTS IN REIIABILITY 1
1.1 INTRODUCTION 1 1.2 REIIABILITY DATA 2 1.3 REPAIRABLE AND
NONREPAIRABLE SYSTEMS 4 1.4 COMPONENT REIIABILITY AND SYSTEM REIIABILITY
7 1.5 THE BINOMIAL AND HYPERGEOMETRIC DISTRIBUTIONS 8 1.6 THE POISSON
PROCESS 10 1.7 THE REIIABILITY LITERATURE 11 2 PROBABILITY DISTRIBUTIONS
IN REIIABILITY 12 2.1 INTRODUCTION 12 2.2 PRELIMINARIES ON LIFE
DISTRIBUTIONS 12 2.3 THE EXPONENTIAL DISTRIBUTION 14 2.4 THE WEIBULL AND
GUMBEL DISTRIBUTIONS 16 2.5 THE NORMAL AND LOGNORMAL DISTRIBUTIONS 22
2.6 THE GAMMA DISTRIBUTION 28 2.7 SOME OTHER LIFETIME DISTRIBUTIONS 32
2.8 CENSORED DATA 36 2.9 SIMPLE DATA ANALYTIC METHODS: NO CENSORING 37
2.10 DATA ANALYTIC METHODS: TYPE II CENSORING 43 2.11 DATA ANALYTIC
METHODS: GENERAL CENSORING 45 3 STATISTICAL METHODS FOR SINGLE SAMPLES
50 3.1 INTRODUCTION 50 3.2 MAXIMUM LIKELIHOOD ESTIMATION: GENERAHTIES 50
3.3 MAXIMUM LIKELIHOOD ESTIMATION: ILLUSTRATIONS 53 3.4 TESTS AND
CONFIDENCE REGIONS BASED ON LIKELIHOOD 58 3.5 REMARKS ON
LIKELIHOOD-BASED METHODS 63 3.6 GOODNESS-OF-FIT 64 4 4.1 REGRESSION
MODEIS FOR REIIABILITY DATA INTRODUCTION 69 69 VI CONTENTS 4.2
ACCELERATED LIFE MODEIS 70 4.3 PROPORTIONAL HAZARDS MODEIS 72 4.4
PROPORTIONAL ODDS MODEIS 73 4.5 GENERALIZATIONS 73 4.6 AN ARGUMENT FROM
FRACTURE MECHANICS 74 4.7 MODELS BASED ON THE WEIBULL DISTRIBUTION 76
4.8 AN EXAMPLE: BREAKING STRENGTHS OF CARBON FIBRES AND BUNDLES 80 4.9
OTHER EXAMPLES OF COMPARING SEVERAL SAMPLES 87 4.10 WEIBULL ANOVA 90
4.11 BUFFON S BEAMS: AN HISTORICAL EXAMPLE OF RELIABILITY DATA 97 4.12
CONCLUDING REMARKS 102 5 PROPORTIONAL HAZARDS MODELLING 104 5.1
INTRODUCTION 104 5.2 ANALYSIS OF THE SEMIPARAMETRIC PH MODEL 105 5.3
ESTIMATION OF THE SURVIVOR AND HAZARD FUNCTIONS 108I 5.4 MODEL CHECKING
109 5.5 NUMERICAL EXAMPLES 110 6 THE BAYESIAN APPROACH 117 6.1
INTRODUCTION 117 6.2 A REVIEW OF THE BAYESIAN APPROACH TO STATISTICS 117
6.3 ELEMENTS OF BAYESIAN STATISTICS 119 6.4 FURTHER TOPICS IN BAYESIAN
INFERENCE 124 6.5 DECISION ANALYSIS 130 6.6 BAYESIAN ANALYSIS OF
RELIABILITY DATA 132 7 MULTIVARIATE MODEIS 137 7.1 PRELIMINARIES 137 7.2
SOME MULTIVARIATE FAILURE TIME DISTRIBUTIONS 138 7.3 COMPLETE
OBSERVATION OF T 141 7.4 COMPETING RISKS 147 8 REPAIRABLE SYSTEMS 157
8.1 INTRODUCTION 157 8.2 FRAMEWORK 157 8.3 ROCOF 158 8.4 SIMPLE
STATISTICAL METHODS 159 8.5 NON-HOMOGENEOUS POISSON PROCESS MODEIS 164
8.6 NHPP WITH LOG-LINEAR ROCOF 167 8.7 NHPP WITH ROCOF V 2 171 CONTENTS
VII 8.8 CHOICE OF NHPP MODEL 174 8.9 DISCUSSION 181 9 MODELS FOR SYSTEM
RELIABILITY 182 9.1 INTRODUCTION 182 9.2 COHERENT SYSTEMS 183 9.3
ESTIMATION OF RELIABILITY FOR COHERENT SYSTEMS 188 9.4 MULTI-STATE
RELIABILITY THEORY 199 9.5 LOAD-SHARING SYSTEMS: THE DANIELS MODEL 205
9.6 EXTENSIONS OF THE DANIELS MODEL 210 9.7 TIME TO FAILURE 213 9.8 A
MORE GENERAL MODEL 215 9.9 LOCAL LOAD-SHARING 218 9.10 EXACT
CALCULATIONS 221 9.11 APPROXIMATIONS FOR LOCAL LOAD-SHARING SYSTEMS 224
9.12 STATISTICAL APPLICATIONS OF LOAD-SHARING MODEIS 226 APPENDIX: THE
DELTA METHOD 230 REFERENCES 233 AUTHOR INDEX 244 SUBJECT INDEX 247
|
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| indexdate | 2024-07-09T17:55:38Z |
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| isbn | 0412594803 |
| language | English |
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| physical | XII, 250 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Chapman & Hall |
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| spelling | Statistical analysis of reliability data M. J. Crowder ... Reprinted London [u.a.] Chapman & Hall 1995 XII, 250 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zuverlässigkeitstheorie (DE-588)4195525-0 gnd rswk-swf Zuverlässigkeitstheorie (DE-588)4195525-0 s DE-604 Crowder, M. J. 1943- Sonstige (DE-588)172028469 oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007064896&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Statistical analysis of reliability data Zuverlässigkeitstheorie (DE-588)4195525-0 gnd |
| subject_GND | (DE-588)4195525-0 |
| title | Statistical analysis of reliability data |
| title_auth | Statistical analysis of reliability data |
| title_exact_search | Statistical analysis of reliability data |
| title_full | Statistical analysis of reliability data M. J. Crowder ... |
| title_fullStr | Statistical analysis of reliability data M. J. Crowder ... |
| title_full_unstemmed | Statistical analysis of reliability data M. J. Crowder ... |
| title_short | Statistical analysis of reliability data |
| title_sort | statistical analysis of reliability data |
| topic | Zuverlässigkeitstheorie (DE-588)4195525-0 gnd |
| topic_facet | Zuverlässigkeitstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007064896&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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