Introduction to reliability analysis: probability models and statistical methods
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Springer
1992
|
| Series: | Springer texts in statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 212 S. graph. Darst. |
| ISBN: | 354097718X 038797718X |
Staff View
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Record in the Search Index
| _version_ | 1804120667778449408 |
|---|---|
| adam_text | SHELEMYAHU ZACKS
INTRODUCTION TO
RELIABILITY ANALYSIS
PROBABILITY MODELS AND STATISTICAL METHODS
WITH 50 ILLUSTRATIONS
SPRINGER-VERLAG
NEW YORK BERLIN HEIDELBERG LONDON PARIS
TOKYO HONG KONG BARCELONA BUDAPEST
CONTENT
S
PREFAC
E VII
LIS
T O
F ABBREVIATION
S XIII
1. SYSTE
M EFFECTIVENES
S 1
1.1 BASIC CONCEPT
S AN
D RELATIONSHIP
S 1
1.2 TIM
E CATEGORIE
S 2
1.3 RELIABILIT
Y AN
D RELATE
D FUNCTION
S 5
1.4 AVAILABILITY, MAINTAINABILIT
Y AN
D REPAIRABILIT
Y 9
1.5 EXERCISES 11
2
. LIF
E DISTRIBUTIONS
, MODEL
S AN
D THEI
R CHARACTERISTIC
S 13
2.1 TYPE
S OF FAILUR
E OBSERVATION
S 13
2.2 GENERA
L CHARACTERISTIC
S OF LIFE DISTRIBUTION
S 14
2.3 SOME FAMILIES OF LIFE DISTRIBUTION
S 18
2.3.1 EXPONENTIA
L AN
D SHIFTED EXPONENTIA
L DISTRIBUTION
S 18
2.3.2 ERLANG
, CHI-SQUAR
E AN
D GAMM
A DISTRIBUTION
S 20
2.3.3 WEIBULL DISTRIBUTION
S 24
2.3.4 EXTREM
E VALUE DISTRIBUTION
S 27
2.3.5 TH
E NORMA
L AN
D TRUNCATE
D NORMA
L DISTRIBUTION
S 28
2.3.6 NORMA
L APPROXIMATION
S 31
2.3.7 LOGNORMA
L DISTRIBUTION
S 32
2.3.8 AUXILIAR
Y DISTRIBUTIONS
: T AN
D F 33
2.4 DISCRETE DISTRIBUTION
S OF FAILURE COUNT
S 34
2.4.1 DISTRIBUTION
S OF DISCRET
E RANDO
M VARIABLES 34
2.4.2 TH
E BINOMIA
L DISTRIBUTIO
N 35
X CONTENT
S
2.4.3 TH
E POISSON DISTRIBUTIO
N 37
2.4.4 HYPERGEOMETRI
C DISTRIBUTION
S 38
2.5 EXERCISES 39
3
. RELIABILIT
Y O
F COMPOSIT
E SYSTEM
S 44
3.1 SYSTE
M RELIABILITY FOR SERIES AN
D ACTIVE PARALLE
L
INDEPENDEN
T COMPONENT
S 44
3.2 K OU
T OF N SYSTEMS OF INDEPENDEN
T COMPONENT
S 47
3.3 TH
E DECOMPOSITION METHO
D 49
3.4 MINIMA
L PATH
S AN
D CUT
S 51
3.5 TH
E MTT
F OF COMPOSIT
E SYSTEM
S 53
3.6 SEQUENTIALLY OPERATIN
G COMPONENT
S 54
3.7 FAUL
T TREE ANALYSIS 56
3.8 EXERCISES 62
4
. RELIABILIT
Y O
F REPAIRABL
E SYSTEM
S 67
4.1 TH
E RENEWAL PROCES
S 67
4.2 TH
E RENEWAL FUNCTIO
N AN
D IT
S DENSIT
Y 69
4.3 ASYMPTOTIC APPROXIMATION
S 74
4.4 INCREASING TH
E AVAILABILITY BY PREVENTIV
E MAINTENANC
E AN
D
STANDBY SYSTEM
S 76
4.4.1 SYSTEM
S WIT
H STANDB
Y AN
D REPAI
R 76
4.4.2 PREVENTIV
E MAINTENANC
E 78
4.5 EXERCISES 81
5. GRAPHICA
L ANALYSI
S O
F LIF
E DAT
A 84
5.1 PROBABILIT
Y PLOTTIN
G FOR PARAMETRI
C MODELS WIT
H
UNCENSORED DAT
A , 84
5.2 PROBABILIT
Y PLOTTIN
G WIT
H CENSORED DAT
A 90
5.3 NON-PARAMETRI
C PLOTTIN
G 92
5.3.1 PRODUC
T LIMIT ESTIMATO
R OF RELIABILITY 92
5.3.2 TOTA
L TIM
E ON TEST PLOT
S 95
5.4 GRAPHICAL AIDS 96
5.5 EXERCISES 97
6. ESTIMATIO
N O
F LIF
E DISTRIBUTION
S AN
D
SYSTE
M CHARACTERISTIC
S 100
6.1 PROPERTIE
S OF ESTIMATOR
S 100
6.1.1 TH
E ESTIMATIO
N PROBLE
M 100
6.1.2 SAMPLIN
G DISTRIBUTIONS
, ACCURAC
Y AN
D PRECISION 102
6.1.3 CLOSENESS PROBABILITIE
S 104
6.1.4 CONFIDENCE AN
D PREDICTIO
N INTERVAL
S 108
CONTENT
S X
I
6.1.4.1 ESTIMATIN
G TH
E PARAMETER
S OF A NORMA
L DISTRIBUTIO
N .
. 108
6.1.4.2 ESTIMATIN
G TH
E RELIABILIT
Y FUNCTIO
N FOR A
N EXPONENTIA
L
DISTRIBUTIO
N 109
6.2 MAXIMU
M LIKELIHOOD ESTIMATIO
N 111
6.2.1 SINGLE-PARAMETE
R DISTRIBUTION
S 111
6.2.1.1 DERIVATIO
N 111
6.2.1.2 TH
E INVARIANC
E PROPERT
Y 114
6.2.1.3 TH
E VARIANC
E OF A
N ML
E 115
6.2.2 MULTIPARAMETE
R DISTRIBUTION
S 117
6.3 ML
E OF SYSTE
M RELIABILIT
Y 122
6.4 ML
E FROM CENSORE
D SAMPLES-EXPONENTIA
L LIFE DISTRIBUTION
S 125
6.4.1 TYP
E I CENSORED DAT
A 125
6.4.2 TYP
E I
I CENSORED DAT
A 127
6.5 TH
E KAPLAN-MEIE
R P
L ESTIMATO
R A
S A
N ML
E OF R(T)
:
NON-PARAMETRI
C APPROAC
H 129
6.6 EXERCISES 132
7
. MAXIMU
M LIKELIHOO
D ESTIMATOR
S AN
D CONNDENC
E INTERVAI
S
FOR SPECIFI
C LIF
E DISTRIBUTION
S 135
7.1 EXPONENTIA
L DISTRIBUTION
S 135
7.2 SHIFTED EXPONENTIA
L DISTRIBUTION
S 137
7.3 ERLAN
G DISTRIBUTION
S 139
7.4 GAMM
A DISTRIBUTION
S 141
7.5 WEIBULL DISTRIBUTION
S 146
7.6 EXTREM
E VALUE DISTRIBUTION
S 151
7.7 NORMA
L AN
D LOGNORMA
L DISTRIBUTION
S 153
7.8 TRUNCATE
D NORMA
L DISTRIBUTION
S 155
7.9 EXERCISES 157
8
. BAYESIA
N RELIABILIT
Y ESTIMATIO
N AN
D PREDICTIO
N 160
8.1 PRIO
R AN
D POSTERIO
R DISTRIBUTION
S 160
8.2 LOSS FUNCTION
S AN
D BAYES ESTIMATOR
S 163
8.2.1 DISTRIBUTION-FRE
E BAYES ESTIMATO
R OF RELIABILIT
Y 164
8.2.2 BAYES ESTIMATO
R OF RELIABILIT
Y FOR EXPONENTIA
L LIFE
DISTRIBUTION
S 165
8.3 BAYESIAN CREDIBILIT
Y AN
D PREDICTIO
N INTERVAI
S 166
8.3.1 DISTRIBUTION-FRE
E RELIABILIT
Y ESTIMATIO
N 166
8.3.2 EXPONENTIA
L RELIABILIT
Y ESTIMATIO
N 167
8.3.3 PREDICTIO
N INTERVAI
S 168
8.4 CREDIBILIT
Y INTERVAI
S FOR TH
E ASYMPTOTI
C AVAILABILITY OF REPAIRABL
E
SYSTEMS
: TH
E EXPONENTIA
L CASE 170
8.5 EMPIRICA
L BAYES METHO
D 172
8.6 EXERCISES 175
XII CONTENT
S
9
. RELIABILIT
Y DEMONSTRATION
: TESTIN
G AN
D
ACCEPTANC
E PROCEDURE
S 177
9.1 RELIABILITY DEMONSTRATIO
N 177
9.2 BINOMIAL TESTING 178
9.3 EXPONENTIA
L DISTRIBUTION
S 180
9.4 SEQUENTIAL RELIABILITY TESTIN
G 181
9.4.1 THE SPRT FOR BINOMIA
L DAT
A 182
9.4.2 THE SPRT FOR EXPONENTIA
L LIFETIMES 184
9.5 SEQUENTIAL TESTS FOR POISSO
N PROCESSE
S 188
9.6 BAYESIAN RELIABILITY DEMONSTRATIO
N TEST
S 190
9.7 ACCELERATED LIFE TESTIN
G 195
9.8 EXERCISES 196
ANNOTATE
D BIBLIOGRAPH
Y 199
APPENDI
X O
F STATISTICA
L TABLE
S 203
INDE
X 210
|
| any_adam_object | 1 |
| author | Zacks, Shelemyahu |
| author_facet | Zacks, Shelemyahu |
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| building | Verbundindex |
| bvnumber | BV006418712 |
| callnumber-first | T - Technology |
| callnumber-label | TA169 |
| callnumber-raw | TA169 |
| callnumber-search | TA169 |
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| ctrlnum | (OCoLC)24468206 (DE-599)BVBBV006418712 |
| dewey-full | 620/.00452 |
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| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620/.00452 |
| dewey-search | 620/.00452 |
| dewey-sort | 3620 3452 |
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| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| indexdate | 2024-07-09T16:45:44Z |
| institution | BVB |
| isbn | 354097718X 038797718X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004065766 |
| oclc_num | 24468206 |
| open_access_boolean | |
| owner | DE-739 DE-703 DE-19 DE-BY-UBM DE-12 DE-20 DE-945 DE-824 DE-521 DE-83 DE-11 DE-188 |
| owner_facet | DE-739 DE-703 DE-19 DE-BY-UBM DE-12 DE-20 DE-945 DE-824 DE-521 DE-83 DE-11 DE-188 |
| physical | XII, 212 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer texts in statistics |
| spelling | Zacks, Shelemyahu Verfasser aut Introduction to reliability analysis probability models and statistical methods Shelemyahu Zacks New York u.a. Springer 1992 XII, 212 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer texts in statistics Betrouwbaarheid gtt Fiabilité - Modèles mathématiques Fiabilité - Modèles statistiques Fiabilité - Méthodes statistiques Fiabilité - Méthodes statistiques ram Statistische methoden gtt Mathematisches Modell Reliability (Engineering) Mathematical models Reliability (Engineering) Statistical methods Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Zuverlässigkeit (DE-588)4059245-5 gnd rswk-swf Zuverlässigkeitstheorie (DE-588)4195525-0 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Zuverlässigkeitstheorie (DE-588)4195525-0 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Statistik (DE-588)4056995-0 s Zuverlässigkeit (DE-588)4059245-5 s 1\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004065766&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Zacks, Shelemyahu Introduction to reliability analysis probability models and statistical methods Betrouwbaarheid gtt Fiabilité - Modèles mathématiques Fiabilité - Modèles statistiques Fiabilité - Méthodes statistiques Fiabilité - Méthodes statistiques ram Statistische methoden gtt Mathematisches Modell Reliability (Engineering) Mathematical models Reliability (Engineering) Statistical methods Mathematisches Modell (DE-588)4114528-8 gnd Statistik (DE-588)4056995-0 gnd Zuverlässigkeit (DE-588)4059245-5 gnd Zuverlässigkeitstheorie (DE-588)4195525-0 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4056995-0 (DE-588)4059245-5 (DE-588)4195525-0 (DE-588)4151278-9 |
| title | Introduction to reliability analysis probability models and statistical methods |
| title_auth | Introduction to reliability analysis probability models and statistical methods |
| title_exact_search | Introduction to reliability analysis probability models and statistical methods |
| title_full | Introduction to reliability analysis probability models and statistical methods Shelemyahu Zacks |
| title_fullStr | Introduction to reliability analysis probability models and statistical methods Shelemyahu Zacks |
| title_full_unstemmed | Introduction to reliability analysis probability models and statistical methods Shelemyahu Zacks |
| title_short | Introduction to reliability analysis |
| title_sort | introduction to reliability analysis probability models and statistical methods |
| title_sub | probability models and statistical methods |
| topic | Betrouwbaarheid gtt Fiabilité - Modèles mathématiques Fiabilité - Modèles statistiques Fiabilité - Méthodes statistiques Fiabilité - Méthodes statistiques ram Statistische methoden gtt Mathematisches Modell Reliability (Engineering) Mathematical models Reliability (Engineering) Statistical methods Mathematisches Modell (DE-588)4114528-8 gnd Statistik (DE-588)4056995-0 gnd Zuverlässigkeit (DE-588)4059245-5 gnd Zuverlässigkeitstheorie (DE-588)4195525-0 gnd |
| topic_facet | Betrouwbaarheid Fiabilité - Modèles mathématiques Fiabilité - Modèles statistiques Fiabilité - Méthodes statistiques Statistische methoden Mathematisches Modell Reliability (Engineering) Mathematical models Reliability (Engineering) Statistical methods Statistik Zuverlässigkeit Zuverlässigkeitstheorie Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004065766&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT zacksshelemyahu introductiontoreliabilityanalysisprobabilitymodelsandstatisticalmethods |