Stress Strength Model And Its Generalizations The Theory And Applications
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Author | : Samuel Kotz |
Publisher | : World Scientific |
Total Pages | : 273 |
Release | : 2003 |
Genre | : Technology & Engineering |
ISBN | : 9812380574 |
This important book presents developments in a remarkable field of inquiry in statistical/probability theory -- the stressstrength model. Many papers in the field include the enigmatic "words" P(XThe StressStrength Model and Its Generalizations collects and digests theoretical and practical results on the theory and applications of the stressstrength relationships in industrial and economic systems -- results that have been scattered in the literature during the last 40-odd years -- and augments and presents them for the first time in a unified manner suitable for practitioners as well as probabilists and theoretical and applied statisticians.
Author | : Samuel Kotz |
Publisher | : World Scientific |
Total Pages | : 273 |
Release | : 2003-03-04 |
Genre | : Mathematics |
ISBN | : 9814488194 |
This important book presents developments in a remarkable field of inquiry in statistical/probability theory — the stress-strength model.Many papers in the field include the enigmatic “words” P(X
Author | : Narayanaswamy Balakrishnan |
Publisher | : Academic Press |
Total Pages | : 408 |
Release | : 2023-01-06 |
Genre | : Mathematics |
ISBN | : 0123983908 |
Hybrid Censoring Know-How: Models, Methods and Applications focuses on hybrid censoring, an important topic in censoring methodology with numerous applications. The readers will find information on the significance of censored data in theoretical and applied contexts, and descriptions of extensive data sets from life-testing experiments where these forms of data naturally occur. The existing literature on censoring methodology, life-testing procedures, and lifetime data analysis provides only hybrid censoring schemes, with little information about hybrid censoring methodologies, ideas, and statistical inferential methods. This book fills that gap, featuring statistical tools applicable to data from medicine, biology, public health, epidemiology, engineering, economics, and demography. - Presents many numerical examples to adequately illustrate all inferential methods discussed - Mentions some open problems and possible directions for future work - Reviews developments on Type-II and Type-I HCS, including the most recent research and trends - Explains why hybrid censored sampling is important in practice - Provides details about the use of HCS under different settings and on various designs of HCS - Describes the use of hybrid censoring in other reliability applications such as reliability sampling plans, step-stress testing, and quality control
Author | : Donald Armstrong |
Publisher | : John Wiley & Sons |
Total Pages | : 742 |
Release | : 2016-01-14 |
Genre | : Science |
ISBN | : 111883240X |
Oxidative Stress and Antioxidant Protection: The Science of Free Radical Biology and Disease Oxidative Stress and Antioxidant Protection begins with a historical perspective of pioneers in oxidative stress with an introductory section that explains the basic principles related to oxidative stress in biochemistry and molecular biology, demonstrating both pathways and biomarkers. This section also covers diagnostic imaging and differential diagnostics. The following section covers psychological, physiologic, pharmacologic and pathologic correlates. This section addresses inheritance, gender, nutrition, obesity, family history, behavior modification, natural herbal-botanical products, and supplementation in the treatment of disease. Clinical trials are also summarized for major medical disorders and efficacy of treatment, with particular focus on inflammation, immune response, recycling, disease progression, outcomes and interventions. Each of the chapters describes what biomarker(s) and physiological functions may be relevant to a concept of specific disease and potential alternative therapy. The chapters cover medical terminology, developmental change, effects of aging, senescence, lifespan, and wound healing, and also illustrates cross-over exposure to other fields. The final chapter covers how and when to interpret appropriate data used in entry level biostatistics and epidemiology. Authored and edited by leaders in the field, Oxidative Stress and Antioxidant Protection will be an invaluable resource for students and researchers studying cell biology, molecular biology, and biochemistry, as well professionals in various health science fields.
Author | : N. Balakrishnan |
Publisher | : Springer |
Total Pages | : 652 |
Release | : 2014-07-24 |
Genre | : Mathematics |
ISBN | : 0817648070 |
This book offers a thorough and updated guide to the theory and methods of progressive censoring, an area that has experienced tremendous growth over the last decade. The theory has developed quite nicely in some special cases having practical applications to reliability and quality. The Art of Progressive Censoring is a valuable reference for graduate students, researchers, and practitioners in applied statistics, quality control, life testing, and reliability. With its accessible style and concrete examples, the work may also be used as a textbook in an advanced undergraduate or a beginning graduate course on censoring or progressive censoring, as well as a supplementary textbook for a course on ordered data.
Author | : Aliakbar Montazer Haghighi |
Publisher | : John Wiley & Sons |
Total Pages | : 418 |
Release | : 2013-05-28 |
Genre | : Technology & Engineering |
ISBN | : 1118400658 |
A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models Difference and Differential Equations with Applications in Queueing Theory presents the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues. Featuring a comprehensive collection of topics that are used in stochastic processes, particularly in queueing theory, the book thoroughly discusses the relationship to systems of linear differential difference equations. The book demonstrates the applicability that queueing theory has in a variety of fields including telecommunications, traffic engineering, computing, and the design of factories, shops, offices, and hospitals. Along with the needed prerequisite fundamentals in probability, statistics, and Laplace transform, Difference and Differential Equations with Applications in Queueing Theory provides: A discussion on splitting, delayed-service, and delayed feedback for single-server, multiple-server, parallel, and series queue models Applications in queue models whose solutions require differential difference equations and generating function methods Exercises at the end of each chapter along with select answers The book is an excellent resource for researchers and practitioners in applied mathematics, operations research, engineering, and industrial engineering, as well as a useful text for upper-undergraduate and graduate-level courses in applied mathematics, differential and difference equations, queueing theory, probability, and stochastic processes.
Author | : George Anders |
Publisher | : Springer Science & Business Media |
Total Pages | : 373 |
Release | : 2011-02-16 |
Genre | : Technology & Engineering |
ISBN | : 0857290886 |
Electrical grids are, in general, among the most reliable systems in the world. These large interconnected systems, however, are subject to a host of challenges - aging infrastructure, transmission expansion to meet growing demand, distributed resources, and congestion management, among others. Innovations in Power Systems Reliability aims to provide a vision for a comprehensive and systematic approach to meet the challenges of modern power systems. Innovations in Power Systems Reliability is focused on the emerging technologies and methodologies for the enhancement of electrical power systems reliability. It addresses many relevant topics in this area, ranging from methods for balancing resources to various reliability and security aspects. Innovations in Power Systems Reliability not only discusses technological breakthroughs and sets out roadmaps in implementing the technology, but it also informs the reader about current best practice. It is a valuable source of information for academic researchers, as well as those working in industrial research and development.
Author | : Kalimuthu Krishnamoorthy |
Publisher | : John Wiley & Sons |
Total Pages | : 494 |
Release | : 2009-05-06 |
Genre | : Mathematics |
ISBN | : 0470473894 |
A modern and comprehensive treatment of tolerance intervals and regions The topic of tolerance intervals and tolerance regions has undergone significant growth during recent years, with applications arising in various areas such as quality control, industry, and environmental monitoring. Statistical Tolerance Regions presents the theoretical development of tolerance intervals and tolerance regions through computational algorithms and the illustration of numerous practical uses and examples. This is the first book of its kind to successfully balance theory and practice, providing a state-of-the-art treatment on tolerance intervals and tolerance regions. The book begins with the key definitions, concepts, and technical results that are essential for deriving tolerance intervals and tolerance regions. Subsequent chapters provide in-depth coverage of key topics including: Univariate normal distribution Non-normal distributions Univariate linear regression models Nonparametric tolerance intervals The one-way random model with balanced data The multivariate normal distribution The one-way random model with unbalanced data The multivariate linear regression model General mixed models Bayesian tolerance intervals A final chapter contains coverage of miscellaneous topics including tolerance limits for a ratio of normal random variables, sample size determination, reference limits and coverage intervals, tolerance intervals for binomial and Poisson distributions, and tolerance intervals based on censored samples. Theoretical explanations are accompanied by computational algorithms that can be easily replicated by readers, and each chapter contains exercise sets for reinforcement of the presented material. Detailed appendices provide additional data sets and extensive tables of univariate and multivariate tolerance factors. Statistical Tolerance Regions is an ideal book for courses on tolerance intervals at the graduate level. It is also a valuable reference and resource for applied statisticians, researchers, and practitioners in industry and pharmaceutical companies.
Author | : Michael Tortorella |
Publisher | : John Wiley & Sons |
Total Pages | : 464 |
Release | : 2015-03-30 |
Genre | : Technology & Engineering |
ISBN | : 1118858883 |
Focuses on the core systems engineering tasks of writing, managing, and tracking requirements for reliability, maintainability, and supportability that are most likely to satisfy customers and lead to success for suppliers This book helps systems engineers lead the development of systems and services whose reliability, maintainability, and supportability meet and exceed the expectations of their customers and promote success and profit for their suppliers. This book is organized into three major parts: reliability, maintainability, and supportability engineering. Within each part, there is material on requirements development, quantitative modelling, statistical analysis, and best practices in each of these areas. Heavy emphasis is placed on correct use of language. The author discusses the use of various sustainability engineering methods and techniques in crafting requirements that are focused on the customers’ needs, unambiguous, easily understood by the requirements’ stakeholders, and verifiable. Part of each major division of the book is devoted to statistical analyses needed to determine when requirements are being met by systems operating in customer environments. To further support systems engineers in writing, analyzing, and interpreting sustainability requirements, this book also Contains “Language Tips” to help systems engineers learn the different languages spoken by specialists and non-specialists in the sustainability disciplines Provides exercises in each chapter, allowing the reader to try out some of the ideas and procedures presented in the chapter Delivers end-of-chapter summaries of the current reliability, maintainability, and supportability engineering best practices for systems engineers Reliability, Maintainability, and Supportability is a reference for systems engineers and graduate students hoping to learn how to effectively determine and develop appropriate requirements so that designers may fulfil the intent of the customer.
Author | : Albert Vexler |
Publisher | : CRC Press |
Total Pages | : 355 |
Release | : 2018-01-19 |
Genre | : Mathematics |
ISBN | : 1315293757 |
"This very informative book introduces classical and novel statistical methods that can be used by theoretical and applied biostatisticians to develop efficient solutions for real-world problems encountered in clinical trials and epidemiological studies. The authors provide a detailed discussion of methodological and applied issues in parametric, semi-parametric and nonparametric approaches, including computationally extensive data-driven techniques, such as empirical likelihood, sequential procedures, and bootstrap methods. Many of these techniques are implemented using popular software such as R and SAS."— Vlad Dragalin, Professor, Johnson and Johnson, Spring House, PA "It is always a pleasure to come across a new book that covers nearly all facets of a branch of science one thought was so broad, so diverse, and so dynamic that no single book could possibly hope to capture all of the fundamentals as well as directions of the field. The topics within the book’s purview—fundamentals of measure-theoretic probability; parametric and non-parametric statistical inference; central limit theorems; basics of martingale theory; Monte Carlo methods; sequential analysis; sequential change-point detection—are all covered with inspiring clarity and precision. The authors are also very thorough and avail themselves of the most recent scholarship. They provide a detailed account of the state of the art, and bring together results that were previously scattered across disparate disciplines. This makes the book more than just a textbook: it is a panoramic companion to the field of Biostatistics. The book is self-contained, and the concise but careful exposition of material makes it accessible to a wide audience. This is appealing to graduate students interested in getting into the field, and also to professors looking to design a course on the subject." — Aleksey S. Polunchenko, Department of Mathematical Sciences, State University of New York at Binghamton This book should be appropriate for use both as a text and as a reference. This book delivers a "ready-to-go" well-structured product to be employed in developing advanced courses. In this book the readers can find classical and new theoretical methods, open problems and new procedures. The book presents biostatistical results that are novel to the current set of books on the market and results that are even new with respect to the modern scientific literature. Several of these results can be found only in this book.