Progressive censoring: theory, methods, and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2000
|
| Schriftenreihe: | Statistics for industry and technology
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 223 - 234 |
| Beschreibung: | XV, 248 S. |
| ISBN: | 3764340010 0817640010 |
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| 650 | 4 | |a Échantillonnage (Statistique) | |
| 650 | 7 | |a Échantillonnage (statistique) |2 ram | |
| 650 | 4 | |a Accelerated life testing |x Statistical methods | |
| 650 | 4 | |a Nonparametric statistics | |
| 650 | 4 | |a Sampling (Statistics) | |
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Datensatz im Suchindex
| _version_ | 1804128088160731136 |
|---|---|
| adam_text | IMAGE 1
PROGRESSIVE CENSORING
THEORY, METHODS, AND APPLICATIONS
N. BALAKRISHNAN RITA AGGARWALA
BIRKHAEUSER BOSTON * BASEL * BERLIN
IMAGE 2
CONTENTS
PREFACE LIST OF TABLES
1 INTRODUCTION
1.1 THE BIG PICTURE 1
1.2 GENESIS 2
1.3 THE NEED FOR PROGRESSIVE CENSORING 2 1.4 A RELATIVELY UNEXPLORED
IDEA 4 1.5 MATHEMATICAL NOTATIONS 7 1.6 A FRIENDLY NOTE 10
2 MATHEMATICAL PROPERTIES OF PROGRESSIVELY TYPE-II RIGHT CENSORED ORDER
STATISTICS
2.1 GENERAL CONTINUOUS DISTRIBUTIONS 11 2.1.1 INTRODUCTION 11
2.1.2 RESULTS 12
2.2 THE EXPONENTIAL DISTRIBUTION: SPACINGS 16 2.2.1 INTRODUCTION 16
2.2.2 PROGRESSIVELY TYPE-II RIGHT CENSORED SPACINGS 17 2.2.3 DERIVING
MOMENTS USING INDEPENDENT SPACINGS 19 2.3 THE UNIFORM DISTRIBUTION:
RATIOS 20 2.3.1 INTRODUCTION 20
2.3.2 INDEPENDENT RATIOS 21 2.3.3 DERIVING MOMENTS USING INDEPENDENT
RATIOS 22 2.4 THE PARETO DISTRIBUTION: RATIOS 23 2.4.1 INTRODUCTION 23
2.4.2 INDEPENDENT RATIOS 24 2.4.3 DERIVING MOMENTS USING INDEPENDENT
RATIOS 25 2.5 BOUNDS FOR MEANS AND VARIANCES 26
VII
IMAGE 3
3 SIMULATIONAL ALGORITHMS
3.1 INTRODUCTION 31
3.2 SIMULATION USING THE UNIFORM DISTRIBUTION 32 3.3 SIMULATION USING
THE EXPONENTIAL DISTRIBUTION 33 3.4 GENERAL PROGRESSIVELY TYPE-II
CENSORED SAMPLES 34 3.4.1 ARBITRARY CONTINUOUS DISTRIBUTIONS 35
3.4.2 THE EXPONENTIAL DISTRIBUTION 35 3.4.3 THE UNIFORM DISTRIBUTION 37
4 RECURSIVE COMPUTATION AND ALGORITHMS
4.1 INTRODUCTION 41
4.2 THE EXPONENTIAL DISTRIBUTION 41 4.2.1 RECURRENCE RELATIONS FOR
SINGLE MOMENTS 42 4.2.2 RECURRENCE RELATIONS FOR PRODUCT MOMENTS 45
4.2.3 RECURSIVE ALGORITHM 49 4.3 THE DOUBLY TRUNCATED EXPONENTIAL
DISTRIBUTION 50
4.3.1 RECURRENCE RELATIONS FOR SINGLE MOMENTS 50 4.3.2 RECURRENCE
RELATIONS FOR PRODUCT MOMENTS 53 4.3.3 RECURSIVE ALGORITHM 56 4.4 THE
PARETO DISTRIBUTION AND TRUNCATED FORMS 57 4.4.1 RECURRENCE RELATIONS
FOR SINGLE MOMENTS 57 4.4.2 RECURRENCE RELATIONS FOR PRODUCT MOMENTS 60
4.4.3 RECURSIVE ALGORITHM 62 4.5 THE POWER FUNCTION DISTRIBUTION AND
TRUNCATED
FORMS 62
5 ALTERNATIVE COMPUTATIONAL METHODS
5.1 INTRODUCTION 67
5.2 FORMULAS IN TERMS OF MOMENTS OF USUAL ORDER STATISTICS 67
5.3 FORMULAS IN THE CASE OF SYMMETRIE DISTRIBUTIONS 69 5.3.1 PROGRESSIVE
WITHDRAWAL 70 5.3.2 PROPERTIES OF PROGRESSIVELY TYPE-II LEFT WITHDRAWN
ORDER STATISTICS 72
5.3.3 MOMENTS OF PROGRESSIVELY TYPE-II RIGHT CENSORED ORDER STATISTICS
FROM SYMMETRIE DISTRIBUTIONS 72 5.4 OTHER RELATIONS FOR MOMENTS 78 5.5
FIRST-ORDER APPROXIMATIONS TO THE MOMENTS 81
IMAGE 4
6 LINEAR INFERENCE
6.1 ONE-PARAMETER (SCALE) MODELS 85 6.1.1 INTRODUCTION 85
6.1.2 THE EXPONENTIAL DISTRIBUTION 86 6.1.3 THE UNIFORM DISTRIBUTION 90
6.1.4 THE PARETO DISTRIBUTION 92 6.1.5 FIRST-ORDER APPROXIMATION TO THE
BLUE 6.2 TWO-PARAMETER (LOCATION-SCALE) MODELS 96
6.2.1 INTRODUCTION 96
6.2.2 THE EXPONENTIAL DISTRIBUTION 97 6.2.3 THE UNIFORM DISTRIBUTION 102
6.2.4 THE PARETO DISTRIBUTION 105 6.2.5 THE LAPLACE DISTRIBUTION 106
6.2.6 THE EXTREME VALUE DISTRIBUTION 109
6.2.7 FIRST-ORDER APPROXIMATIONS TO THE BLUES 6.3 BEST LINEAR INVARIANT
ESTIMATION 112
7 LIKELIHOOD INFERENCE: TYPE-I AND TYPE-II CENSORING
71. INTRODUCTION 117
7.2 GENERAL CONTINUOUS DISTRIBUTIONS 118 7.3 SPECIFIC CONTINUOUS
DISTRIBUTIONS 120 7.3.1 THE NORMAL DISTRIBUTION 120 7.3.2 THE
EXPONENTIAL DISTRIBUTION 121
7.3.3 THE WEIBULL DISTRIBUTION 125 7.3.4 THE UNIFORM DISTRIBUTION 128
7.3.4 THE PARETO DISTRIBUTION 129 7.3.6 THE LAPLACE DISTRIBUTION 132
7.3.7 OTHER DISTRIBUTIONS
(LOG-NORMAL, GAMMA, BURR) 136
8 LINEAR PREDICTION
8.1 INTRODUCTION 139
8.2 THE EXPONENTIAL CASE 139 8.3 CASE OF GENERAL DISTRIBUTIONS 144 8.3.1
SCALE-PARAMETER DISTRIBUTIONS 144 8.3.2 LOCATION-SCALE DISTRIBUTIONS 147
8.4 A SIMPLE APPROACH BASED ON BLUES 150 8.5 FIRST-ORDER APPROXIMATIONS
TO BLUPS 154
IMAGE 5
CONTENTS
8.6 PREDICTION INTERVALS 157
8.7 ILLUSTRATIVE EXAMPLES 159
9 CONDITIONAL INFERENCE 167
9.1 INTRODUCTION 167
9.2 INFERENCE FOR LOCATION AND SCALE PARAMETERS 167 9.3 INFERENCE FOR
QUANTILES AND RELIABILITY AND PREDICTION INTERVALS 169
9.3.1 INFERENCE FOR QUANTILES 169 9.3.2 INFERENCE FOR RELIABILITY 170
9.3.3 PREDICTION INTERVALS FOR FUTURE FAILURES 170 9.4 RESULTS FOR
EXTREME VALUE DISTRIBUTION 172 9.5 RESULTS FOR EXPONENTIAL DISTRIBUTION
173 9.6 ILLUSTRATIVE EXAMPLES 175 9.7 RESULTS FOR PARETO DISTRIBUTION
178
10 OPTIMAL CENSORING SCHEMES 183
10.1 INTRODUCTION 183
10.2 THE EXPONENTIAL DISTRIBUTION 186 10.3 THE NORMAL DISTRIBUTION 187
10.3.1 DISCUSSION OF RESULTS 188 10.4 THE EXTREME VALUE DISTRIBUTION 190
10.4.1 DISCUSSION OF RESULTS 191 10.5 THE EXTREME VALUE (II)
DISTRIBUTION 192 10.5.1 DISCUSSION OF RESULTS 192 10.6 THE LOG-NORMAL
DISTRIBUTION 193
10.6.1 DISCUSSION OF RESULTS 193
10.7 TABLES 195 /
11 ACCEPTANCE SAMPLING PLANS 215
11.1 INTRODUCTION 215
11.2 THE EXPONENTIAL DISTRIBUTION 215 11.2.1 ONE-SIDED SAMPLING PLANS
215 11.2.2 TWO-SIDED SAMPLING PLANS 218 11.3 THE LOG-NORMAL DISTRIBUTION
220
BIBLIOGRAPHY 223
AUTHOR INDEX 235
SUBJECT INDEX 239
|
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| spelling | Balakrishnan, Narayanaswamy 1956- Verfasser (DE-588)122214846 aut Progressive censoring theory, methods, and applications N. Balakrishnan ; Rita Aggarwala Boston [u.a.] Birkhäuser 2000 XV, 248 S. txt rdacontent n rdamedia nc rdacarrier Statistics for industry and technology Literaturverz. S. 223 - 234 Essais accélérés (technologie) - Méthodes statistiques ram Statistique non paramétrique ram Statistique non-paramétrique Échantillonnage (Statistique) Échantillonnage (statistique) ram Accelerated life testing Statistical methods Nonparametric statistics Sampling (Statistics) Lebensdauer (DE-588)4034837-4 gnd rswk-swf Statistische Analyse (DE-588)4116599-8 gnd rswk-swf Zensierte Stichprobe (DE-588)4292948-9 gnd rswk-swf Zensierte Stichprobe (DE-588)4292948-9 s DE-604 Lebensdauer (DE-588)4034837-4 s Statistische Analyse (DE-588)4116599-8 s Aggarwala, Rita Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009080229&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Balakrishnan, Narayanaswamy 1956- Aggarwala, Rita Progressive censoring theory, methods, and applications Essais accélérés (technologie) - Méthodes statistiques ram Statistique non paramétrique ram Statistique non-paramétrique Échantillonnage (Statistique) Échantillonnage (statistique) ram Accelerated life testing Statistical methods Nonparametric statistics Sampling (Statistics) Lebensdauer (DE-588)4034837-4 gnd Statistische Analyse (DE-588)4116599-8 gnd Zensierte Stichprobe (DE-588)4292948-9 gnd |
| subject_GND | (DE-588)4034837-4 (DE-588)4116599-8 (DE-588)4292948-9 |
| title | Progressive censoring theory, methods, and applications |
| title_auth | Progressive censoring theory, methods, and applications |
| title_exact_search | Progressive censoring theory, methods, and applications |
| title_full | Progressive censoring theory, methods, and applications N. Balakrishnan ; Rita Aggarwala |
| title_fullStr | Progressive censoring theory, methods, and applications N. Balakrishnan ; Rita Aggarwala |
| title_full_unstemmed | Progressive censoring theory, methods, and applications N. Balakrishnan ; Rita Aggarwala |
| title_short | Progressive censoring |
| title_sort | progressive censoring theory methods and applications |
| title_sub | theory, methods, and applications |
| topic | Essais accélérés (technologie) - Méthodes statistiques ram Statistique non paramétrique ram Statistique non-paramétrique Échantillonnage (Statistique) Échantillonnage (statistique) ram Accelerated life testing Statistical methods Nonparametric statistics Sampling (Statistics) Lebensdauer (DE-588)4034837-4 gnd Statistische Analyse (DE-588)4116599-8 gnd Zensierte Stichprobe (DE-588)4292948-9 gnd |
| topic_facet | Essais accélérés (technologie) - Méthodes statistiques Statistique non paramétrique Statistique non-paramétrique Échantillonnage (Statistique) Échantillonnage (statistique) Accelerated life testing Statistical methods Nonparametric statistics Sampling (Statistics) Lebensdauer Statistische Analyse Zensierte Stichprobe |
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