Analysis of Step-Stress Models
Analysis of Step-Stress Models

Author: Debasis Kundu

Publisher: Academic Press

Published: 2017-06-29

Total Pages: 188

ISBN-13: 0081012403

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Analysis of Step-Stress Models: Existing Results and Some Recent Developments describes, in detail, the step-stress models and related topics that have received significant attention in the last few years. Although two books, Bagdonavicius and Nikulin (2001) and Nelson (1990), on general accelerated life testing models are available, no specific book is available on step-stress models. Due to the importance of this particular topic, Balakrishnan (2009) provided an excellent review for exponential step-stress models. The scope of this book is much more, providing the inferential issues for different probability models, both from the frequentist and Bayesian points-of-view. - Explains the different distributions of the Cumulative Exposure Mode - Covers many different models used for step-stress analysis - Discusses Step-stress life testing under the competing or complementary risk model

Bayesian Inference and Computation in Reliability and Survival Analysis
Bayesian Inference and Computation in Reliability and Survival Analysis

Author: Yuhlong Lio

Publisher: Springer Nature

Published: 2022-08-01

Total Pages: 367

ISBN-13: 3030886581

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Bayesian analysis is one of the important tools for statistical modelling and inference. Bayesian frameworks and methods have been successfully applied to solve practical problems in reliability and survival analysis, which have a wide range of real world applications in medical and biological sciences, social and economic sciences, and engineering. In the past few decades, significant developments of Bayesian inference have been made by many researchers, and advancements in computational technology and computer performance has laid the groundwork for new opportunities in Bayesian computation for practitioners. Because these theoretical and technological developments introduce new questions and challenges, and increase the complexity of the Bayesian framework, this book brings together experts engaged in groundbreaking research on Bayesian inference and computation to discuss important issues, with emphasis on applications to reliability and survival analysis. Topics covered are timely and have the potential to influence the interacting worlds of biostatistics, engineering, medical sciences, statistics, and more. The included chapters present current methods, theories, and applications in the diverse area of biostatistical analysis. The volume as a whole serves as reference in driving quality global health research.

Design and Analysis of Accelerated Tests for Mission Critical Reliability
Design and Analysis of Accelerated Tests for Mission Critical Reliability

Author: Michael J. LuValle

Publisher: CRC Press

Published: 2004-04-27

Total Pages: 249

ISBN-13: 1135436193

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Early approaches to accelerated testing were based on the assumption that there was a simple acceleration factor that would correspond to a linear scaling of time from the operating stress to the accelerating stress. This corresponds to the simplest physical model of the kinetics governing the underlying degradation, but this simple model does not always hold. We need to understand what more complex physical models may look like. Design & Analysis of Accelerated Tests for Mission Critical Reliability presents innovative theory and methods for recognizing and handling the more complicated, cases often encountered in practice. The theory integrates a physical understanding of underlying phenomena and the statistical modeling of observation "noise" to provide a single theoretical framework for accelerated testing. The treatment includes general approaches that can be used with various computational software packages and an explicit computing environment in S-PLUS. Source code written by the authors is included and available for download from http://www.crcpress.com/e_products/downloads. For practitioners, this book provides immediately useable tools. For researchers, it presents intriguing open questions. And for the academic community, numerous worked examples, end-of-chapter exercises, and a format that relegates technical and theoretical details to chapter appendices make this an outstanding supplementary textbook for senior and graduate-level students.

Multicriteria and Optimization Models for Risk, Reliability, and Maintenance Decision Analysis
Multicriteria and Optimization Models for Risk, Reliability, and Maintenance Decision Analysis

Author: Adiel Teixeira de Almeida

Publisher: Springer Nature

Published: 2022-06-28

Total Pages: 502

ISBN-13: 3030896471

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This book considers a broad range of areas from decision making methods applied in the contexts of Risk, Reliability and Maintenance (RRM). Intended primarily as an update of the 2015 book Multicriteria and Multiobjective Models for Risk, Reliability and Maintenance Decision Analysis, this edited work provides an integration of applied probability and decision making. Within applied probability, it primarily includes decision analysis and reliability theory, amongst other topics closely related to risk analysis and maintenance. In decision making, it includes multicriteria decision making/aiding (MCDM/A) methods and optimization models. Within MCDM, in addition to decision analysis, some of the topics related to mathematical programming areas are considered, such as multiobjective linear programming, multiobjective nonlinear programming, game theory and negotiations, and multiobjective optimization. Methods related to these topics have been applied to the context of RRM. In MCDA, several other methods are considered, such as outranking methods, rough sets and constructive approaches. The book addresses an innovative treatment of decision making in RRM, improving the integration of fundamental concepts from both areas of RRM and decision making. This is accomplished by presenting current research developments in decision making on RRM. Some pitfalls of decision models on practical applications on RRM are discussed and new approaches for overcoming those drawbacks are presented.

Accelerated Testing
Accelerated Testing

Author: Wayne B. Nelson

Publisher: John Wiley & Sons

Published: 2009-09-25

Total Pages: 626

ISBN-13: 0470317477

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The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. ". . . a goldmine of knowledge on accelerated life testing principles and practices . . . one of the very few capable of advancing the science of reliability. It definitely belongs in every bookshelf on engineering." –Dev G. Raheja, Quality and Reliability Engineering International ". . . an impressive book. The width and number of topics covered, the practical data sets included, the obvious knowledge and understanding of the author and the extent of published materials reviewed combine to ensure that this will be a book used frequently." –Journal of the Royal Statistical Society A benchmark text in the field, Accelerated Testing: Statistical Models, Test Plans, and Data Analysis offers engineers, scientists, and statisticians a reliable resource on the effective use of accelerated life testing to measure and improve product reliability. From simple data plots to advanced computer programs, the text features a wealth of practical applications and a clear, readable style that makes even complicated physical and statistical concepts uniquely accessible. A detailed index adds to its value as a reference source.

Bayesian Statistics and Its Applications
Bayesian Statistics and Its Applications

Author: Satyanshu K. Upadhyay

Publisher: Anshan Pub

Published: 2007

Total Pages: 528

ISBN-13:

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In the last two decades, Bayesian Statistics has acquired immense importance and has penetrated almost every area including those where the application of statistics appeared to be a remote possibility. This volume provides both theoretical and practical insights into the subject with detailed up-to-date material on various aspects. It serves two important objectives - to offer a thorough background material for theoreticians and gives a variety of applications for applied statisticians and practitioners. Consisting of 33 chapters, it covers topics on biostatistics, econometrics, reliability, image analysis, Bayesian computation, neural networks, prior elicitation, objective Bayesian methodologies, role of randomisation in Bayesian analysis, spatial data analysis, nonparametrics and a lot more. The book will serve as an excellent reference work for updating knowledge and for developing new methodologies in a wide variety of areas. It will become an invaluable tool for statisticians and the practitioners of Bayesian paradigm.