Statistical analysis of reliability data:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
London u.a.
Chapman & Hall
1991
|
| Edition: | 1. ed. |
| Series: | Statistics texts
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 233 - 243 |
| Physical Description: | XII, 250 S. graph. Darst. |
| ISBN: | 0412305607 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Preface ix
1 Statistical concepts in reliability 1
1.1 Introduction 1
1.2 Reliability data 2
1.3 Repairable and nonrepairable systems 4
1.4 Component reliability and system reliability 7
1.5 The Binomial and Hypergeometric distributions 8
1.6 The Poisson process 10
1.7 The reliability literature 11
2 Probability distributions in reliability 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: generalities 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 Regression models for reliability data 69
4.1 Introduction 69
vi Contents
4.2 Accelerated life models 70
4.3 Proportional hazards models 72
4.4 Proportional odds models 73
4.5 Generalizations 73
4.6 An argument from fracture mechanics 74 i
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 models 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 models 164
8.6 NHPP with log linear ROCOF 167
8.7 NHPP with ROCOF v2 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 models 226
Appendix: The Delta method 230
References 233
Author index 244
Subject index 247
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| physical | XII, 250 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
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| publisher | Chapman & Hall |
| record_format | marc |
| series2 | Statistics texts |
| spelling | Statistical analysis of reliability data M. J. Crowder ... 1. ed. London u.a. Chapman & Hall 1991 XII, 250 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistics texts Literaturverz. S. 233 - 243 Fiabilité - Informatique Fiabilité - Méthodes statistiques Fiabilité - Méthodes statistiques ram analyse statistique inriac fiabilité système inriac méthode statistique inriac probabilité inriac Datenverarbeitung Reliability (Engineering) Data processing Reliability (Engineering) Statistical methods 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 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002880845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Statistical analysis of reliability data Fiabilité - Informatique Fiabilité - Méthodes statistiques Fiabilité - Méthodes statistiques ram analyse statistique inriac fiabilité système inriac méthode statistique inriac probabilité inriac Datenverarbeitung Reliability (Engineering) Data processing Reliability (Engineering) Statistical methods 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 | Fiabilité - Informatique Fiabilité - Méthodes statistiques Fiabilité - Méthodes statistiques ram analyse statistique inriac fiabilité système inriac méthode statistique inriac probabilité inriac Datenverarbeitung Reliability (Engineering) Data processing Reliability (Engineering) Statistical methods Zuverlässigkeitstheorie (DE-588)4195525-0 gnd |
| topic_facet | Fiabilité - Informatique Fiabilité - Méthodes statistiques analyse statistique fiabilité système méthode statistique probabilité Datenverarbeitung Reliability (Engineering) Data processing Reliability (Engineering) Statistical methods Zuverlässigkeitstheorie |
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