Reliability Analysis and Plans for Successive Testing
Start-up Demonstration Tests and Applications
- 1st Edition - January 15, 2021
- Imprint: Academic Press
- Authors: Narayanaswamy Balakrishnan, Markos Koutras, Fotios Milienos
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 8 0 4 2 8 8 - 5
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 0 4 3 6 2 - 2
Reliability Analysis and Plans for Successive Testing: Start-up Demonstration Tests and Applications discusses all past and recent developments on start-up demonstration tests… Read more
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Request a sales quoteReliability Analysis and Plans for Successive Testing: Start-up Demonstration Tests and Applications discusses all past and recent developments on start-up demonstration tests in the context of current numerical and illustrative examples to clarify available methods for distribution theorists and applied mathematicians dealing with control problems. Throughout the book, the authors focus on the panorama of open problems and issues of further interest. As contemporary manufacturers face tremendous commercial pressures to assemble works of high reliability, defined as ‘the probability of the product performing its role under the stated conditions and over a specified period of time’, this book helps address testing issues.
- Unites the tools and methodologies of applied statistics and stochastic modeling to aid the determination of device reliability for better performing consumer goods
- Clearly articulates how successive testing methods can be used in practice
- Comments not only on distribution sequences closed, but also on open problems and issues of further interest for researchers
Graduate students and specialized researchers in statistical distribution theory; statistical quality control and reliability theory, some in industrial settings
- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- About the authors
- Preface
- Acknowledgments
- Chapter 1: Introduction
- Abstract
- 1.1. Early history
- 1.2. Need for start-up demonstration tests
- 1.3. Scope of the book
- Bibliography
- Chapter 2: Preliminaries
- Abstract
- 2.1. Introduction
- 2.2. Combinatorial analysis and generating functions
- 2.3. Finite Markov chain embedding technique
- 2.4. Elements of reliability theory
- Bibliography
- Chapter 3: Binary start-up demonstration tests
- Abstract
- 3.1. Introduction
- 3.2. Run and frequency based models
- 3.3. Multiple runs and frequency based models
- 3.4. Scan statistic based models
- 3.5. Extended run based models
- 3.6. Summary and pertinent literature
- Bibliography
- Chapter 4: Multistate start-up demonstration tests
- Abstract
- 4.1. Introduction
- 4.2. Models with two types of successes and one type of failure
- 4.3. Models with two types of failures and one type of success
- 4.4. Models with more than two types of failures and successes
- 4.5. Summary and pertinent literature
- Bibliography
- Chapter 5: An unified approach
- Abstract
- 5.1. Introduction
- 5.2. An unified representation
- 5.3. Bounds and approximations
- 5.4. Summary and pertinent literature
- Bibliography
- Chapter 6: Statistical inference and a mixture model
- Abstract
- 6.1. Introduction
- 6.2. Binary and multistate case
- 6.3. An unified estimation approach
- 6.4. Start-up demonstration mixture models
- 6.5. Summary and pertinent literature
- Bibliography
- Chapter 7: Some extended testing procedures and optimal design of tests
- Abstract
- 7.1. Introduction
- 7.2. Extended testing procedures
- 7.3. Optimal start-up test plans
- 7.4. Summary and pertinent literature
- Bibliography
- Chapter 8: Illustrative data analyses
- Abstract
- 8.1. Introduction
- 8.2. Binary trials: i.i.d. case
- 8.3. Markov-dependent binary trials
- 8.4. Binary exchangeable trials
- 8.5. Multistate trials
- Chapter 9: Applications to other fields
- Abstract
- 9.1. Introduction
- 9.2. Clinical trials
- 9.3. Acceptance sampling for attributes
- 9.4. Social sequence analysis
- 9.5. Binomial reliability demonstration tests
- Bibliography
- Bibliography
- Bibliography
- Index
- Edition: 1
- Published: January 15, 2021
- Imprint: Academic Press
- No. of pages: 266
- Language: English
- Hardback ISBN: 9780128042885
- eBook ISBN: 9780128043622
NB
Narayanaswamy Balakrishnan
Narayanaswamy Balakrishnan is a distinguished university professor in the Department of Mathematics and Statistics at McMaster University Hamilton, Ontario, Canada. He is an internationally recognized expert on statistical distribution theory, and a book-powerhouse with over 24 authored books, four authored handbooks, and 30 edited books under his name. He is currently the Editor-in-Chief of Communications in Statistics published by Taylor & Francis. He was also the Editor-in-Chief for the revised version of Encyclopedia of Statistical Sciences published by John Wiley & Sons. He is a Fellow of the American Statistical Association and a Fellow of the Institute of Mathematical Statistics. In 2016, he was awarded an Honorary Doctorate from The National and Kapodistrian University of Athens, Athens, Greece. In 2021, he was elected as a Fellow of the Royal Society of Canada.
Affiliations and expertise
Distinguished University Professor, Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, CanadaMK
Markos Koutras
Markos Koutras, Professor of Statistics and Applied Probability, is in the Department of Statistics and Insurance Science, University of Piraeus, and is currently the Vice-Rector of Finance, Planning and Development of the University of Piraeus, Greece. Koutras’ research interests include asymptotic theory, combinatorial distributions, multivariate analysis, reliability theory, statistical quality control, and theory of runs/scans/patterns, and he has published a book on the last topic, collaboratively with Professor N. Balakrishnan, with John Wiley & Sons.
Affiliations and expertise
Department of Statistics and Insurance Science, University of Piraeus and Dean of the School of Finance and Statistics, Piraeus, GreeceFM
Fotios Milienos
Fotios Milienos, Assistant Professor, in the Department of Sociology, Panteion University of Social and Political Sciences, Greece. His research interests include theory of runs and patterns, cure rate modeling, and statistical methods in behavioral research.
Affiliations and expertise
Postdoctoral fellow, Department of Mathematics and Statistics, McMaster University, Ontario, CanadaRead Reliability Analysis and Plans for Successive Testing on ScienceDirect