Stochastic Ageing And Dependence For Reliability

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Stochastic Ageing and Dependence for Reliability

Chin Diew Lai,Min Xie
Stochastic Ageing and Dependence for Reliability Book PDF

Author : Chin Diew Lai,Min Xie
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 48,9 Mb
Release : 2006-09-24
Category : Mathematics
ISBN : 9780387342320

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Stochastic Ageing and Dependence for Reliability by Chin Diew Lai,Min Xie Pdf

This book provides a panoramic view of theory and applications of Ageing and Dependence in the use of mathematical methods in reliability and survival analysis. Ageing and dependence are important characteristics in reliability and survival analysis. They affect decisions with regard to maintenance, repair/replacement, price setting, warranties, medical studies, and other areas. Most of the works containing the topics covered here are theoretical in nature. However, this book offers applications, exercises, and examples. It serves as a reference for professors and researchers involved in reliability and survival analysis.

Stochastic Modeling for Reliability

Maxim Finkelstein,Ji Hwan Cha
Stochastic Modeling for Reliability Book PDF

Author : Maxim Finkelstein,Ji Hwan Cha
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 43,5 Mb
Release : 2013-04-12
Category : Technology & Engineering
ISBN : 9781447150282

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Stochastic Modeling for Reliability by Maxim Finkelstein,Ji Hwan Cha Pdf

Focusing on shocks modeling, burn-in and heterogeneous populations, Stochastic Modeling for Reliability naturally combines these three topics in the unified stochastic framework and presents numerous practical examples that illustrate recent theoretical findings of the authors. The populations of manufactured items in industry are usually heterogeneous. However, the conventional reliability analysis is performed under the implicit assumption of homogeneity, which can result in distortion of the corresponding reliability indices and various misconceptions. Stochastic Modeling for Reliability fills this gap and presents the basics and further developments of reliability theory for heterogeneous populations. Specifically, the authors consider burn-in as a method of elimination of ‘weak’ items from heterogeneous populations. The real life objects are operating in a changing environment. One of the ways to model an impact of this environment is via the external shocks occurring in accordance with some stochastic point processes. The basic theory for Poisson shock processes is developed and also shocks as a method of burn-in and of the environmental stress screening for manufactured items are considered. Stochastic Modeling for Reliability introduces and explores the concept of burn-in in heterogeneous populations and its recent development, providing a sound reference for reliability engineers, applied mathematicians, product managers and manufacturers alike.

Mathematical and Statistical Models and Methods in Reliability

V.V. Rykov,N. Balakrishnan,M.S. Nikulin
Mathematical and Statistical Models and Methods in Reliability Book PDF

Author : V.V. Rykov,N. Balakrishnan,M.S. Nikulin
Publisher : Springer Science & Business Media
Page : 465 pages
File Size : 50,6 Mb
Release : 2010-11-02
Category : Technology & Engineering
ISBN : 9780817649715

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Mathematical and Statistical Models and Methods in Reliability by V.V. Rykov,N. Balakrishnan,M.S. Nikulin Pdf

The book is a selection of invited chapters, all of which deal with various aspects of mathematical and statistical models and methods in reliability. Written by renowned experts in the field of reliability, the contributions cover a wide range of applications, reflecting recent developments in areas such as survival analysis, aging, lifetime data analysis, artificial intelligence, medicine, carcinogenesis studies, nuclear power, financial modeling, aircraft engineering, quality control, and transportation. Mathematical and Statistical Models and Methods in Reliability is an excellent reference text for researchers and practitioners in applied probability and statistics, industrial statistics, engineering, medicine, finance, transportation, the oil and gas industry, and artificial intelligence.

Multistate System Reliability with Dependencies

Agnieszka Blokus
Multistate System Reliability with Dependencies Book PDF

Author : Agnieszka Blokus
Publisher : Academic Press
Page : 298 pages
File Size : 53,7 Mb
Release : 2020-04-13
Category : Business & Economics
ISBN : 9780128212608

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Multistate System Reliability with Dependencies by Agnieszka Blokus Pdf

Multistate System Reliability with Dependencies explains how to select a model of load sharing that best describes the impact of changes in reliability states of components. This is mainly achieved via a generalization of two-state system reliability analysis, where equal load sharing and local load sharing rules are commonly used. The material covers basic concepts of traditional reliability theory, including the concept of probability, failures, series and parallel systems, k-out-of-n systems, and more. It features cutting-edge theorems on the reliability analysis of multistate systems that take into account component degradation and dependencies between subsystems and components in subsystems. Other themes addressed include renewable systems and the availability analysis of multistate systems. Combining results of the reliability analysis of multistate systems with dependent components and the results of the classical renewal theory, the availability analysis of multistate systems under the assumption of imperfect renovation is also provided. Provides a thorough introduction to, and review of, recent research developments across multistate systems and systems with component dependencies Comprehensively addresses various manifestations of the load sharing system at component and system level, including models to describe them Explains how to evaluate the reliability and risk of systems with load-sharing effects

Stochastic Orders in Reliability and Risk

Haijun Li,Xiaohu Li
Stochastic Orders in Reliability and Risk Book PDF

Author : Haijun Li,Xiaohu Li
Publisher : Springer Science & Business Media
Page : 459 pages
File Size : 44,6 Mb
Release : 2013-06-22
Category : Mathematics
ISBN : 9781461468929

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Stochastic Orders in Reliability and Risk by Haijun Li,Xiaohu Li Pdf

Stochastic Orders in Reliability and Risk Management is composed of 19 contributions on the theory of stochastic orders, stochastic comparison of order statistics, stochastic orders in reliability and risk analysis, and applications. These review/exploratory chapters present recent and current research on stochastic orders reported at the International Workshop on Stochastic Orders in Reliability and Risk Management, or SORR2011, which took place in the City Hotel, Xiamen, China, from June 27 to June 29, 2011. The conference’s talks and invited contributions also represent the celebration of Professor Moshe Shaked, who has made comprehensive, fundamental contributions to the theory of stochastic orders and its applications in reliability, queueing modeling, operations research, economics and risk analysis. This volume is in honor of Professor Moshe Shaked. The work presented in this volume represents active research on stochastic orders and multivariate dependence, and exemplifies close collaborations between scholars working in different fields. The Xiamen Workshop and this volume seek to revive the community workshop tradition on stochastic orders and dependence and strengthen research collaboration, while honoring the work of a distinguished scholar.

Reliability, Life Testing and the Prediction of Service Lives

Sam C. Saunders
Reliability Life Testing and the Prediction of Service Lives Book PDF

Author : Sam C. Saunders
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 44,7 Mb
Release : 2007-01-25
Category : Computers
ISBN : 0387325220

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Reliability, Life Testing and the Prediction of Service Lives by Sam C. Saunders Pdf

This book is intended for students and practitioners who have had a calculus-based statistics course and who have an interest in safety considerations such as reliability, strength, and duration-of-load or service life. Many persons studying statistical science will be employed professionally where the problems encountered are obscure, what should be analyzed is not clear, the appropriate assumptions are equivocal, and data are scant. In this book there is no disclosure with many of the data sets what type of investigation should be made or what assumptions are to be used.

Copula Theory and Its Applications

Piotr Jaworski,Fabrizio Durante,Wolfgang Karl Härdle,Tomasz Rychlik
Copula Theory and Its Applications Book PDF

Author : Piotr Jaworski,Fabrizio Durante,Wolfgang Karl Härdle,Tomasz Rychlik
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 47,8 Mb
Release : 2010-07-16
Category : Mathematics
ISBN : 9783642124655

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Copula Theory and Its Applications by Piotr Jaworski,Fabrizio Durante,Wolfgang Karl Härdle,Tomasz Rychlik Pdf

Copulas are mathematical objects that fully capture the dependence structure among random variables and hence offer great flexibility in building multivariate stochastic models. Since their introduction in the early 50's, copulas have gained considerable popularity in several fields of applied mathematics, such as finance, insurance and reliability theory. Today, they represent a well-recognized tool for market and credit models, aggregation of risks, portfolio selection, etc. This book is divided into two main parts: Part I - "Surveys" contains 11 chapters that provide an up-to-date account of essential aspects of copula models. Part II - "Contributions" collects the extended versions of 6 talks selected from papers presented at the workshop in Warsaw.

Statistical Modeling of Reliability Structures and Industrial Processes

Ioannis S. Trianntafyllou,Mangey Ram
Statistical Modeling of Reliability Structures and Industrial Processes Book PDF

Author : Ioannis S. Trianntafyllou,Mangey Ram
Publisher : CRC Press
Page : 246 pages
File Size : 51,6 Mb
Release : 2022-09-27
Category : Technology & Engineering
ISBN : 9781000614725

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Statistical Modeling of Reliability Structures and Industrial Processes by Ioannis S. Trianntafyllou,Mangey Ram Pdf

This reference text introduces advanced topics in the field of reliability engineering, introduces statistical modeling techniques, and probabilistic methods for diverse applications. It comprehensively covers important topics including consecutive-type reliability systems, coherent structures, multi-scale statistical modeling, the performance of reliability structures, big data analytics, prognostics, and health management. It covers real-life applications including optimization of telecommunication networks, complex infrared detecting systems, oil pipeline systems, and vacuum systems in accelerators or spacecraft relay stations. The text will serve as an ideal reference book for graduate students and academic researchers in the fields of industrial engineering, manufacturing science, mathematics, and statistics.

Lifetime Analysis by Aging Intensity Functions

Magdalena Szymkowiak
Lifetime Analysis by Aging Intensity Functions Book PDF

Author : Magdalena Szymkowiak
Publisher : Springer
Page : 215 pages
File Size : 43,6 Mb
Release : 2019-02-01
Category : Technology & Engineering
ISBN : 9783030121075

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Lifetime Analysis by Aging Intensity Functions by Magdalena Szymkowiak Pdf

This book addresses a range of aging intensity functions, which make it possible to measure and compare aging trends for lifetime random variables. Moreover, they can be used for the characterization of lifetime distributions, also with bounded support. Stochastic orders based on the aging intensities, and their connections with some other orders, are also discussed. To demonstrate the applicability of aging intensity in reliability practice, the book analyzes both real and generated data. The estimated, properly chosen, aging intensity function is mainly recommended to identify data’s lifetime distribution, and secondly, to estimate some of the parameters of the identified distribution. Both reliability researchers and practitioners will find the book a valuable guide and source of inspiration.

Reliability is a New Science

Paolo Rocchi
Reliability is a New Science Book PDF

Author : Paolo Rocchi
Publisher : Springer
Page : 152 pages
File Size : 40,6 Mb
Release : 2017-07-13
Category : Mathematics
ISBN : 9783319574721

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Reliability is a New Science by Paolo Rocchi Pdf

This work illustrates research conducted over a ten-year timespan and addresses a fundamental issue in reliability theory. This still appears to be an empirically disorganized field and the book suggests employing a deductive base in order to evolve reliability as a science. The study is in line with the fundamental work by Gnedenko. Boris Vladimirovich Gnedenko (1912 – 1995) was a Soviet mathematician who made significant contributions in various scientific areas. His name is especially associated with studies of dependability, for which he is often recognized as the 'father' of reliability theory. In the last few decades, this area has expanded in new directions such as safety, security, risk analysis and other fields, yet the book ‘Mathematical Methods in Reliability Theory’ written by Gnedenko with Alexander Soloviev and Yuri Bélyaev still towers as a pillar of the reliability sector’s configuration and identity. The present book proceeds in the direction opened by the cultural project of the Russian authors; in particular it identifies different trends in the hazard rate functions by means of deductive logic and demonstrations. Further, it arrives at multiple results by means of the entropy function, an original mathematical tool in the reliability domain. As such, it will greatly benefit all specialists in the field who are interested in unconventional solutions.

Failure Rate Modelling for Reliability and Risk

Maxim Finkelstein
Failure Rate Modelling for Reliability and Risk Book PDF

Author : Maxim Finkelstein
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 51,6 Mb
Release : 2008-11-07
Category : Technology & Engineering
ISBN : 9781848009868

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Failure Rate Modelling for Reliability and Risk by Maxim Finkelstein Pdf

“Failure Rate Modeling for Reliability and Risk” focuses on reliability theory, and to the failure rate (hazard rate, force of mortality) modeling and its generalizations to systems operating in a random environment and to repairable systems. The failure rate is one of the crucial probabilistic characteristics for a number of disciplines; including reliability, survival analysis, risk analysis and demography. The book presents a systematic study of the failure rate and related indices, and covers a number of important applications where the failure rate plays the major role. Applications in engineering systems are studied, together with some actuarial, biological and demographic examples. The book provides a survey of this broad and interdisciplinary subject which will be invaluable to researchers and advanced students in reliability engineering and applied statistics, as well as to demographers, econometricians, actuaries and many other mathematically oriented researchers.

Quantile-Based Reliability Analysis

N. Unnikrishnan Nair,P.G. Sankaran,N. Balakrishnan
Quantile Based Reliability Analysis Book PDF

Author : N. Unnikrishnan Nair,P.G. Sankaran,N. Balakrishnan
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 42,8 Mb
Release : 2013-08-24
Category : Mathematics
ISBN : 9780817683610

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Quantile-Based Reliability Analysis by N. Unnikrishnan Nair,P.G. Sankaran,N. Balakrishnan Pdf

This book provides a fresh approach to reliability theory, an area that has gained increasing relevance in fields from statistics and engineering to demography and insurance. Its innovative use of quantile functions gives an analysis of lifetime data that is generally simpler, more robust, and more accurate than the traditional methods, and opens the door for further research in a wide variety of fields involving statistical analysis. In addition, the book can be used to good effect in the classroom as a text for advanced undergraduate and graduate courses in Reliability and Statistics.

Point Processes for Reliability Analysis

Ji Hwan Cha,Maxim Finkelstein
Point Processes for Reliability Analysis Book PDF

Author : Ji Hwan Cha,Maxim Finkelstein
Publisher : Springer
Page : 419 pages
File Size : 44,6 Mb
Release : 2018-01-17
Category : Technology & Engineering
ISBN : 9783319735405

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Point Processes for Reliability Analysis by Ji Hwan Cha,Maxim Finkelstein Pdf

Focusing on the theory and applications of point processes, Point Processes for Reliability Analysis naturally combines classical results on the basic and advanced properties of point processes with recent theoretical findings of the authors. It also presents numerous examples that illustrate how general results and approaches are applied to stochastic description of repairable systems and systems operating in a random environment modelled by shock processes. The real life objects are operating in a changing, random environment. One of the ways to model an impact of this environment is via the external shocks occurring in accordance with some stochastic point processes. The Poisson (homogeneous and nonhomogeneous) process, the renewal process and their generalizations are considered as models for external shocks affecting an operating system. At the same time these processes model the consecutive failure/repair times of repairable engineering systems. Perfect, minimal and intermediate (imperfect) repairs are discussed in this respect. Covering material previously available only in the journal literature, Point Processes for Reliability Analysis provides a survey of recent developments in this area which will be invaluable to researchers and advanced students in reliability engineering and applied mathematics.

Dependence in Probability and Statistics

Paul Doukhan,Gabriel Lang,Donatas Surgailis,Gilles Teyssière
Dependence in Probability and Statistics Book PDF

Author : Paul Doukhan,Gabriel Lang,Donatas Surgailis,Gilles Teyssière
Publisher : Springer Science & Business Media
Page : 222 pages
File Size : 47,6 Mb
Release : 2010-07-23
Category : Mathematics
ISBN : 9783642141041

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Dependence in Probability and Statistics by Paul Doukhan,Gabriel Lang,Donatas Surgailis,Gilles Teyssière Pdf

This account of recent works on weakly dependent, long memory and multifractal processes introduces new dependence measures for studying complex stochastic systems and includes other topics such as the dependence structure of max-stable processes.

Recent Developments in Stochastic Methods and Applications

Albert N. Shiryaev,Konstantin E. Samouylov,Dmitry V. Kozyrev
Recent Developments in Stochastic Methods and Applications Book PDF

Author : Albert N. Shiryaev,Konstantin E. Samouylov,Dmitry V. Kozyrev
Publisher : Springer Nature
Page : 370 pages
File Size : 53,5 Mb
Release : 2021-08-02
Category : Mathematics
ISBN : 9783030832667

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Recent Developments in Stochastic Methods and Applications by Albert N. Shiryaev,Konstantin E. Samouylov,Dmitry V. Kozyrev Pdf

Highlighting the latest advances in stochastic analysis and its applications, this volume collects carefully selected and peer-reviewed papers from the 5th International Conference on Stochastic Methods (ICSM-5), held in Moscow, Russia, November 23-27, 2020. The contributions deal with diverse topics such as stochastic analysis, stochastic methods in computer science, analytical modeling, asymptotic methods and limit theorems, Markov processes, martingales, insurance and financial mathematics, queueing theory and stochastic networks, reliability theory, risk analysis, statistical methods and applications, machine learning and data analysis. The 29 articles in this volume are a representative sample of the 87 high-quality papers accepted and presented during the conference. The aim of the ICSM-5 conference is to promote the collaboration of researchers from Russia and all over the world, and to contribute to the development of the field of stochastic analysis and applications of stochastic models.