Reliability modelling: a statistical approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton u.a.
Chapman & Hall/CRC
1999
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 256 S. graph. Darst. |
| ISBN: | 1584880147 |
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Record in the Search Index
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| adam_text | IMAGE 1
RELIABILITY
MODELUNG A STATISTICAL APPROACH LINDA C. WOLSTENHOLME SENIOR LECTURER
CITY UNIVERSITY, LONDON
CHAPMAN & HALL/CRC
BOCA RATON LONDON NEW YORK WASHINGTON, D.C.
IMAGE 2
CONTENTS
LIST OF FIGURES
PREFACE
1 B A S IC C O N C E P TS
1.1 1.2 1.3 1.4 1.5 1.6 1.7
1.8
INTRODUCTION EVENTS AND PROBABILITY RULES OF PROBABILITY DEPENDENT
EVENTS RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS
THE RELIABILITY FUNCTION THE HAZARD FUNCTION EXPECTATION
2 C O M M ON LIFETIME MODELS
2.1 2.2 2.3 2.4
2.5 2.6 2.7 2.8
2.9
INTRODUCTION THE POISSON PROCESS THE WEIBULL DISTRIBUTION
THE GUMBEL DISTRIBUTION THE NORMAL AND LOGNORMAL DISTRIBUTIONS THE GAMMA
DISTRIBUTION THE LOGISTIC AND LOG LOGISTIC DISTRIBUTIONS THE PARETO
DISTRIBUTION
ORDER STATISTICS AND EXTREME VALUE DISTRIBUTIONS
3 MODEL S E L E C T I ON
3.1 3.2 3.3 3.4 3.5
3.6
INTRODUCTION NON-PARAMETRIC ESTIMATION OF R(T) AND H(T) CENSORING
KAPLAN-MEIER ESTIMATOR
GRAPHICAL METHODS STRAIGHT LINE FITTING
XI
XV
1
1
1
3
5
8
11 16 19
21 21 22 24 27
29 31 33 33 35
37 37 37 39 41 44 45
IMAGE 3
VIII CONTENTS
3.7 3.8 3.9 3.10
WEIBULL PLOTTING NORMAL PLOTTING OTHER MODEL FAMILY PLOTS COMPARISON OF
DISTRIBUTIONS
MODEL F I T T I NG 4.1 4.2 4.3
4.4 4.5 4.6
4.7 4.8 4.9 4.10
4.11 4.12 4.13 4.14
PARAMETER ESTIMATION THE VARIANCE OF ESTIMATORS CONFIDENCE INTERVAL
ESTIMATES MAXIMUM LIKELIHOOD
ESTIMATING QUANTILES ESTIMATION METHODS USING SAMPLE MOMENTS GENERAL
PROBABILITY PLOTS GOODNESS OF FIT PEARSON S % 2 TEST
KOLMOGOROV-SMIRNOV TEST TESTS FOR NORMALITY A 2 AND W 2 TESTS
STABILIZED PROBABILITY PLOTS CENSORED DATA
REPAIRABLE S Y S T E MS 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 5.10
INTRODUCTION GRAPHICAL METHODS TESTING FOR TREND REPAIR TIME
MAINTAINABILITY AND AVAILABILITY
INTRODUCTION TO RENEWAL THEORY LAPLACE TRANSFORMS THE RENEWAL FUNCTION
ALTERNATING RENEWAL PROCESSES
THE DISTRIBUTION OF N(T)
S Y S T EM RELIABILITY 6.1 6.2 6.3
6.4 6.5 6.6 6.7
6.8
SYSTEMS AND SYSTEM LOGIC TIE AND CUT SETS
PROBABILITY BOUNDS FAULT TREES
FAILURE OVER TIME QUORUM OR M-OUT-OF-N SYSTEMS REDUNDANCY ANALYSIS OF
SYSTEMS USING STATE SPACES
45 47 49 52
55 55 55 56 58
63 65 67 70
72 75 77 78 80 80
81 81 82 86 92
92 93 94 95 98 100
101 101 103 104
107 110
113 115
IMAGE 4
6.9 MEAN TIME TO FAILURE (MTTF) 121
6.10 CONSIDERATIONS DUE TO SWITCHING 122
6.11 COMMON CAUSE FAILURES 125
MODELS FOR F U N C T I O NS OF R A N D OM VARIATIONS 127
7.1 COMBINATIONS AND TRANSFORMATIONS OF RANDOM VARIABLES 127
7.2 EXPECTATIONS OF FUNCTIONS OF RANDOM VARIABLES 127
7.3 APPROXIMATIONS FOR E[G(X)] AND V G(X)] 129
7.4 DISTRIBUTION OF A FUNCTION OF RANDOM VARIABLES 131
7.5 PROBABILISTIC ENGINEERING DESIGN 133
7.6 STRESS AND STRENGTH DISTRIBUTIONS 134
7.7 INTERFERENCE THEORY AND RELIABILITY COMPUTATIONS 135
7.8 NORMALLY DISTRIBUTED STRESS AND STRENGTH 138
7.9 SAFETY FACTORS AND RELIABILITY 142
7.10 GRAPHICAL APPROACH FOR EMPIRICALLY DETERMINED DISTRIBUTIONS 143
M A I N T E N A N CE S T R A T E G I ES 149
8.1 MAINTAINED SYSTEMS 149
8.2 AVAILABILITY 151
8.3 MARKOVIAN SYSTEMS 153
8.4 MEAN TIME BETWEEN FAILURES (MTBF) 156
8.5 AGE REPLACEMENT 160
8.6 SCHEDULED MAINTENANCE 166
8.7 SYSTEMS WITH FAILURE DETECTION/FAIL SAFE DEVICES 169
8.8 DOWN-TIME DISTRIBUTIONS 173
LIFE TESTING AND INFERENCE 175
9.1 LIFE TEST PLANS 175
9.2 PREDICTION OF TIME ON TEST 177
9.3 INFERENCE FOR THE EXPONENTIAL DISTRIBUTION 180
9.4 THE EFFECT OF DATA ROUNDING 183
9.5 PARAMETRIC RELIABILITY BOUNDS 184
9.6 LIKELIHOOD-BASED METHODS 187
9.7 THE LIKELIHOOD RATIO TEST 190
9.8 BINOMIAL EXPERIMENTS 195
9.9 NON-PARAMETRIC ESTIMATION AND CONFIDENCE INTERVALS FOR R(T) 200
9.10 ESTIMATING SYSTEM RELIABILITY FROM SUBSYSTEM TEST DATA 202
9.11 ACCELERATED TESTING 208
IMAGE 5
X
CONTENTS
10 A D V A N C ED MODELS
10.1 10.2 10.3 10.4
10.5 10.6 10.7 10.8
10.9
COVARIATES PROPORTIONAL HAZARDS MODEIS ACCELERATED LIFE MODEIS MIXTURE
MODEIS
COMPETING RISKS DEPENDENT FAILURES LOAD-SHARING SYSTEMS
BAYESIAN RELIABILITY CASE STUDIES
A P P E N D IX A.1 A.2 A.3
A.4 A.5 A.6 A.7
PARTIAL FRACTIONS SERIES TAYLOR EXPANSIONS NEWTON-RAPHSON ITERATION
NUMERICAL INTEGRATION MATRIX ALGEBRA THE PRINCIPLE OF LEAST SQUARES
R E F E R E N C ES
211 211 212 216 217 221 225 226
228 232
239 239 240 241
242 243 244 246
249
INDEX 253
|
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| spelling | Wolstenholme, Linda C. Verfasser aut Reliability modelling a statistical approach Linda C. Wolstenholme Boca Raton u.a. Chapman & Hall/CRC 1999 XVI, 256 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fiabilité - Méthodes statistiques ram Reliability (Engineering) Statistical methods Zuverlässigkeitstheorie (DE-588)4195525-0 gnd rswk-swf Zuverlässigkeitstheorie (DE-588)4195525-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008686842&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wolstenholme, Linda C. Reliability modelling a statistical approach Fiabilité - Méthodes statistiques ram Reliability (Engineering) Statistical methods Zuverlässigkeitstheorie (DE-588)4195525-0 gnd |
| subject_GND | (DE-588)4195525-0 |
| title | Reliability modelling a statistical approach |
| title_auth | Reliability modelling a statistical approach |
| title_exact_search | Reliability modelling a statistical approach |
| title_full | Reliability modelling a statistical approach Linda C. Wolstenholme |
| title_fullStr | Reliability modelling a statistical approach Linda C. Wolstenholme |
| title_full_unstemmed | Reliability modelling a statistical approach Linda C. Wolstenholme |
| title_short | Reliability modelling |
| title_sort | reliability modelling a statistical approach |
| title_sub | a statistical approach |
| topic | Fiabilité - Méthodes statistiques ram Reliability (Engineering) Statistical methods Zuverlässigkeitstheorie (DE-588)4195525-0 gnd |
| topic_facet | Fiabilité - Méthodes statistiques Reliability (Engineering) Statistical methods Zuverlässigkeitstheorie |
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