Hazard Rate Modeling Of Step Stress Experiments

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Hazard Rate Modeling of Step-Stress Experiments

Author : Maria Kateri
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Hazard Rate Modeling of Step-Stress Experiments by : Maria Kateri

Download or read book Hazard Rate Modeling of Step-Stress Experiments written by Maria Kateri and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Step-stress models form an essential part of accelerated life testing procedures. Under a step-stress model, the test units are exposed to stress levels that increase at intermediate time points of the experiment. The goal is to develop statistical inference for, e.g., the mean lifetime under each stress level, targeting to the extrapolation under normal operating conditions. This is achieved through an appropriate link function that connects the stress level to the associated mean lifetime. The assumptions made about the time points of stress level change, the termination point of the experiment, the underlying lifetime distributions, the type of censoring (if present), and the way of monitoring lead to alternative models. Step-stress models can be designed for single or multiple samples. We discuss recent developments in designing and analyzing step-stress models based on hazard rates. The inference approach adopted is mainly the maximum likelihood, but Bayesian approaches are briefly discussed.

Analysis of Step-Stress Models

Author : Debasis Kundu
Publisher : Academic Press
ISBN 13 : 0081012403
Total Pages : 188 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Analysis of Step-Stress Models by : Debasis Kundu

Download or read book Analysis of Step-Stress Models written by Debasis Kundu and published by Academic Press. This book was released on 2017-06-29 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

A Tampered Failure Rate Model for Step-stress Accelerated Life Tests

Author : G. K. Bhattacharyya
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (783 download)

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Book Synopsis A Tampered Failure Rate Model for Step-stress Accelerated Life Tests by : G. K. Bhattacharyya

Download or read book A Tampered Failure Rate Model for Step-stress Accelerated Life Tests written by G. K. Bhattacharyya and published by . This book was released on 1988 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Accelerated Life Models

Author : Vilijandas Bagdonavicius
Publisher : CRC Press
ISBN 13 : 1420035878
Total Pages : 361 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Accelerated Life Models by : Vilijandas Bagdonavicius

Download or read book Accelerated Life Models written by Vilijandas Bagdonavicius and published by CRC Press. This book was released on 2001-11-28 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors of this monograph have developed a large and important class of survival analysis models that generalize most of the existing models. In a unified, systematic presentation, this monograph fully details those models and explores areas of accelerated life testing usually only touched upon in the literature. Accelerated Life Models:

The Cox Model and Its Applications

Author : Mikhail Nikulin
Publisher : Springer
ISBN 13 : 3662493322
Total Pages : 131 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis The Cox Model and Its Applications by : Mikhail Nikulin

Download or read book The Cox Model and Its Applications written by Mikhail Nikulin and published by Springer. This book was released on 2016-04-11 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be of interest to readers active in the fields of survival analysis, genetics, ecology, biology, demography, reliability and quality control. Since Sir David Cox’s pioneering work in 1972, the proportional hazards model has become the most important model in survival analysis. The success of the Cox model stimulated further studies in semiparametric and nonparametric theories, counting process models, study designs in epidemiology, and the development of many other regression models that could offer more flexible or more suitable approaches in data analysis. Flexible semiparametric regression models are increasingly being used to relate lifetime distributions to time-dependent explanatory variables. Throughout the book, various recent statistical models are developed in close connection with specific data from experimental studies in clinical trials or from observational studies.

A Model for Step-stress Accelerated Life Testing Experiments Based on Wiener Processes and the Inverse Gaussian Distributions

Author : Kjell A. Doksum
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (219 download)

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Book Synopsis A Model for Step-stress Accelerated Life Testing Experiments Based on Wiener Processes and the Inverse Gaussian Distributions by : Kjell A. Doksum

Download or read book A Model for Step-stress Accelerated Life Testing Experiments Based on Wiener Processes and the Inverse Gaussian Distributions written by Kjell A. Doksum and published by . This book was released on 1989 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Degradation Modeling

Author : M.S. Nikulin
Publisher : Springer Science & Business Media
ISBN 13 : 0817649247
Total Pages : 436 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Advances in Degradation Modeling by : M.S. Nikulin

Download or read book Advances in Degradation Modeling written by M.S. Nikulin and published by Springer Science & Business Media. This book was released on 2010-07-08 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of invited chapters covering recent advances in accelerated life testing and degradation models. The book covers a wide range of applications to areas such as reliability, quality control, the health sciences, economics and finance. It is an excellent reference for researchers and practitioners in applied probability and statistics, industrial statistics, the health sciences, quality control, economics, and finance.

Advances in Statistics - Theory and Applications

Author : Indranil Ghosh
Publisher : Springer Nature
ISBN 13 : 3030629007
Total Pages : 443 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Advances in Statistics - Theory and Applications by : Indranil Ghosh

Download or read book Advances in Statistics - Theory and Applications written by Indranil Ghosh and published by Springer Nature. This book was released on 2021-04-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited collection brings together internationally recognized experts in a range of areas of statistical science to honor the contributions of the distinguished statistician, Barry C. Arnold. A pioneering scholar and professor of statistics at the University of California, Riverside, Dr. Arnold has made exceptional advancements in different areas of probability, statistics, and biostatistics, especially in the areas of distribution theory, order statistics, and statistical inference. As a tribute to his work, this book presents novel developments in the field, as well as practical applications and potential future directions in research and industry. It will be of interest to graduate students and researchers in probability, statistics, and biostatistics, as well as practitioners and technicians in the social sciences, economics, engineering, and medical sciences.

Accelerated Life Testing of One-shot Devices

Author : Narayanaswamy Balakrishnan
Publisher : John Wiley & Sons
ISBN 13 : 1119663946
Total Pages : 240 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Accelerated Life Testing of One-shot Devices by : Narayanaswamy Balakrishnan

Download or read book Accelerated Life Testing of One-shot Devices written by Narayanaswamy Balakrishnan and published by John Wiley & Sons. This book was released on 2021-03-11 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides authoritative guidance on statistical analysis techniques and inferential methods for one-shot device life-testing Estimating the reliability of one-shot devices—electro-expolsive devices, fire extinguishers, automobile airbags, and other units that perform their function only once—poses unique analytical challenges to conventional approaches. Due to how one-shot devices are censored, their precise failure times cannot be obtained from testing. The condition of a one-shot device can only be recorded at a specific inspection time, resulting in a lack of lifetime data collected in life-tests. Accelerated Life Testing of One-shot Devices: Data Collection and Analysis addresses the fundamental issues of statistical modeling based on data collected from accelerated life-tests of one-shot devices. The authors provide inferential methods and procedures for planning accelerated life-tests, and describe advanced statistical techniques to help reliability practitioners overcome estimation problems in the real world. Topics covered include likelihood inference, competing-risks models, one-shot devices with dependent components, model selection, and more. Enabling readers to apply the techniques to their own lifetime data and arrive at the most accurate inference possible, this practical resource: Provides expert guidance on comprehensive data analysis of one-shot devices under accelerated life-tests Discusses how to design experiments for data collection from efficient accelerated life-tests while conforming to budget constraints Helps readers develops optimal designs for constant-stress and step-stress accelerated life-tests, mainstream life-tests commonly used in reliability practice Includes R code in each chapter for readers to use in their own analyses of one-shot device testing data Features numerous case studies and practical examples throughout Highlights important issues, problems, and future research directions in reliability theory and practice Accelerated Life Testing of One-shot Devices: Data Collection and Analysis is essential reading for graduate students, researchers, and engineers working on accelerated life testing data analysis.

Goodness-of-Fit Tests and Model Validity

Author : C. Huber-Carol
Publisher : Springer Science & Business Media
ISBN 13 : 1461201039
Total Pages : 512 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Goodness-of-Fit Tests and Model Validity by : C. Huber-Carol

Download or read book Goodness-of-Fit Tests and Model Validity written by C. Huber-Carol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 37 expository articles in this volume provide broad coverage of important topics relating to the theory, methods, and applications of goodness-of-fit tests and model validity. The book is divided into eight parts, each of which presents topics written by expert researchers in their areas. Key features include: * state-of-the-art exposition of modern model validity methods, graphical techniques, and computer-intensive methods * systematic presentation with sufficient history and coverage of the fundamentals of the subject * exposure to recent research and a variety of open problems * many interesting real life examples for practitioners * extensive bibliography, with special emphasis on recent literature * subject index This comprehensive reference work will serve the statistical and applied mathematics communities as well as practitioners in the field.

A Model for Step-stress Accelerated Life Testing Experiments Based on Wiener Processes and the Invers Gaussian Distribution

Author : Kjell A. Doksum
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (753 download)

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Book Synopsis A Model for Step-stress Accelerated Life Testing Experiments Based on Wiener Processes and the Invers Gaussian Distribution by : Kjell A. Doksum

Download or read book A Model for Step-stress Accelerated Life Testing Experiments Based on Wiener Processes and the Invers Gaussian Distribution written by Kjell A. Doksum and published by . This book was released on 1989 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the ... Conference on the Design of Experiments

Author :
Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.3/5 (436 download)

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Book Synopsis Proceedings of the ... Conference on the Design of Experiments by :

Download or read book Proceedings of the ... Conference on the Design of Experiments written by and published by . This book was released on 1986 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling and Analysis of Constant-stress and Step-stress Accelerated Life Tests

Author : Yesheng Sun
Publisher :
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.:/5 (969 download)

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Book Synopsis Modeling and Analysis of Constant-stress and Step-stress Accelerated Life Tests by : Yesheng Sun

Download or read book Modeling and Analysis of Constant-stress and Step-stress Accelerated Life Tests written by Yesheng Sun and published by . This book was released on 1995 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Progressive Censoring

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 1461213347
Total Pages : 255 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Progressive Censoring by : N. Balakrishnan

Download or read book Progressive Censoring written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book offers a guide to the theory and methods of progressive censoring. In many industrial experiments involving lifetimes of machines or units, experiments have to be terminated early. Progressive Censoring first introduces progressive sampling foundations, and then discusses various properties of progressive samples. The book points out the greater efficiency gained by using this scheme instead of classical right-censoring methods.

Reliability, Yield, and Stress Burn-In

Author : Way Kuo
Publisher : Springer Science & Business Media
ISBN 13 : 1461556716
Total Pages : 407 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Reliability, Yield, and Stress Burn-In by : Way Kuo

Download or read book Reliability, Yield, and Stress Burn-In written by Way Kuo and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international market is very competitive for high-tech manufacturers to day. Achieving competitive quality and reliability for products requires leader ship from the top, good management practices, effective and efficient operation and maintenance systems, and use of appropriate up-to-date engineering de sign tools and methods. Furthermore, manufacturing yield and reliability are interrelated. Manufacturing yield depends on the number of defects found dur ing both the manufacturing process and the warranty period, which in turn determines the reliability. the production of microelectronics has evolved into Since the early 1970's, one of the world's largest manufacturing industries. As a result, an important agenda is the study of reliability issues in fabricating microelectronic products and consequently the systems that employ these products, particularly, the new generation of microelectronics. Such an agenda should include: • the economic impact of employing the microelectronics fabricated by in dustry, • a study of the relationship between reliability and yield, • the progression toward miniaturization and higher reliability, and • the correctness and complexity of new system designs, which include a very significant portion of software.

Springer Handbook of Engineering Statistics

Author : Hoang Pham
Publisher : Springer Nature
ISBN 13 : 1447175034
Total Pages : 1136 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Springer Handbook of Engineering Statistics by : Hoang Pham

Download or read book Springer Handbook of Engineering Statistics written by Hoang Pham and published by Springer Nature. This book was released on 2023-04-20 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt: In today’s global and highly competitive environment, continuous improvement in the processes and products of any field of engineering is essential for survival. This book gathers together the full range of statistical techniques required by engineers from all fields. It will assist them to gain sensible statistical feedback on how their processes or products are functioning and to give them realistic predictions of how these could be improved. The handbook will be essential reading for all engineers and engineering-connected managers who are serious about keeping their methods and products at the cutting edge of quality and competitiveness.

Asymptotic Methods in Probability and Statistics with Applications

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 1461202094
Total Pages : 541 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Asymptotic Methods in Probability and Statistics with Applications by : N. Balakrishnan

Download or read book Asymptotic Methods in Probability and Statistics with Applications written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditions of the 150-year-old St. Petersburg School of Probability and Statis tics had been developed by many prominent scientists including P. L. Cheby chev, A. M. Lyapunov, A. A. Markov, S. N. Bernstein, and Yu. V. Linnik. In 1948, the Chair of Probability and Statistics was established at the Department of Mathematics and Mechanics of the St. Petersburg State University with Yu. V. Linik being its founder and also the first Chair. Nowadays, alumni of this Chair are spread around Russia, Lithuania, France, Germany, Sweden, China, the United States, and Canada. The fiftieth anniversary of this Chair was celebrated by an International Conference, which was held in St. Petersburg from June 24-28, 1998. More than 125 probabilists and statisticians from 18 countries (Azerbaijan, Canada, Finland, France, Germany, Hungary, Israel, Italy, Lithuania, The Netherlands, Norway, Poland, Russia, Taiwan, Turkey, Ukraine, Uzbekistan, and the United States) participated in this International Conference in order to discuss the current state and perspectives of Probability and Mathematical Statistics. The conference was organized jointly by St. Petersburg State University, St. Petersburg branch of Mathematical Institute, and the Euler Institute, and was partially sponsored by the Russian Foundation of Basic Researches. The main theme of the Conference was chosen in the tradition of the St.