Mathematical Theory Of Reliability

Author : Richard E. Barlow
Publisher : SIAM
ISBN 13 : 0898713692
Total Pages : 271 pages
Book Rating : 4.95/5 ( download)

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Download or read book Mathematical Theory of Reliability written by Richard E. Barlow and published by SIAM. This book was released on 1996-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a survey of mathematical models useful in solving reliability problems. It includes a detailed discussion of life distributions corresponding to wearout and their use in determining maintenance policies, and covers important topics such as the theory of increasing (decreasing) failure rate distributions, optimum maintenance policies, and the theory of coherent systems. The emphasis throughout the book is on making minimal assumptions - and only those based on plausible physical considerations - so that the resulting mathematical deductions may be safely made about a large variety of commonly occurring reliability situations. The first part of the book is concerned with component reliability, while the second part covers system reliability, including problems that are as important today as they were in the 1960s. The enduring relevance of the subject of reliability and the continuing demand for a graduate-level book on this topic are the driving forces behind its re-publication.

Author : B. V. Gnedenko
Publisher : Academic Press
ISBN 13 : 1483263517
Total Pages : 519 pages
Book Rating : 4.19/5 ( download)

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Download or read book Mathematical Methods of Reliability Theory written by B. V. Gnedenko and published by Academic Press. This book was released on 2014-06-20 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods of Reliability Theory discusses fundamental concepts of probability theory, mathematical statistics, and an exposition of the relationships among the fundamental quantitative characteristics encountered in the theory. The book deals with the set-theoretic approach to reliability theory and the central concepts of set theory to the phenomena. It also presents methods of finding estimates for reliability parameters based on observations and methods of testing reliability hypotheses. Based on mathematical statistics, the book also explains formulation of some selected results. It presents a method that increases the reliability of manufactured articles—redundancy. An important part of product quality control is the standards of acceptance-sampling plans which require simplicity, wide content for flexibility, comprehensive characteristics, and variability. The book also tackles economical and rational methods of sampling inspections, highlighting the need for a correct evaluation of environmental conditions—the factors which predetermine the choice of the inspection method. The book then explains how to estimate the efficiency of the operation of the sampling plan after its selection. The book can be helpful for engineers, mathematicians, economists, or industrial managers, as well as for other professionals who work in the technological, political, research, structural, and physico-chemical areas.

Author : Richard E. Barlow
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.15/5 ( download)

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Download or read book Mathematical Theory of Reliability written by Richard E. Barlow and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bo Lindqvist
Publisher : World Scientific
ISBN 13 : 9812383212
Total Pages : 569 pages
Book Rating : 4.11/5 ( download)

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Download or read book Mathematical and Statistical Methods in Reliability written by Bo Lindqvist and published by World Scientific. This book was released on 2003 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains extended versions of carefully selected and reviewed papers presented at the Third International Conference on Mathematical Methods in Reliability, held in Norway in 2002. It provides an overview of current research activities in reliability theory. The authors are all leading experts in the field. Readership: Graduate students, academics and professionals in probability & statistics, reliability analysis, survival analysis, industrial engineering, software engineering, operations research and applied mathematics research.

Author : Simona Salicone
Publisher : Springer Science & Business Media
ISBN 13 : 0387463283
Total Pages : 235 pages
Book Rating : 4.85/5 ( download)

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Download or read book Measurement Uncertainty written by Simona Salicone and published by Springer Science & Business Media. This book was released on 2007-06-04 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The expression of uncertainty in measurement poses a challenge since it involves physical, mathematical, and philosophical issues. This problem is intensified by the limitations of the probabilistic approach used by the current standard (the GUM Instrumentation Standard). This text presents an alternative approach. It makes full use of the mathematical theory of evidence to express the uncertainty in measurements. Coverage provides an overview of the current standard, then pinpoints and constructively resolves its limitations. Numerous examples throughout help explain the book’s unique approach.

Author : V.V. Rykov
Publisher : Springer Science & Business Media
ISBN 13 : 0817649719
Total Pages : 465 pages
Book Rating : 4.15/5 ( download)

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Download or read book Mathematical and Statistical Models and Methods in Reliability written by V.V. Rykov and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Benjamin Epstein
Publisher : CRC Press
ISBN 13 : 9780367387327
Total Pages : 272 pages
Book Rating : 4.28/5 ( download)

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Download or read book Mathematical Models for Systems Reliability written by Benjamin Epstein and published by CRC Press. This book was released on 2019-08-30 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolved from the lectures of a recognized pioneer in developing the theory of reliability, Mathematical Models for Systems Reliability provides a rigorous treatment of the required probability background for understanding reliability theory. This classroom-tested text begins by discussing the Poisson process and its associated probability laws. It then uses a number of stochastic models to provide a framework for life length distributions and presents formal rules for computing the reliability of nonrepairable systems that possess commonly occurring structures. The next two chapters explore the stochastic behavior over time of one- and two-unit repairable systems. After covering general continuous-time Markov chains, pure birth and death processes, and transitions and rates diagrams, the authors consider first passage-time problems in the context of systems reliability. The final chapters show how certain techniques can be applied to a variety of reliability problems. Illustrating the models and methods with a host of examples, this book offers a sound introduction to mathematical probabilistic models and lucidly explores how they are used in systems reliability problems.

Author : Jorge Navarro
Publisher : Springer Nature
ISBN 13 : 3030869539
Total Pages : 181 pages
Book Rating : 4.33/5 ( download)

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Download or read book Introduction to System Reliability Theory written by Jorge Navarro and published by Springer Nature. This book was released on 2021-10-03 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides the tools for a modern post-graduate introductory course on system reliability theory. It focuses on probabilistic aspects of the theory, including recent results based on signatures, stochastic orders, aging classes, copulas and distortion (or aggregation) functions. The reader requires on an introductory knowledge on probability theory and mathematics. The book serves both for graduate students in mathematics and for engineering students in various disciplines as well as students learning survival analysis, network reliability or simple game theory. Included also are brief introductions to the basic aspects of lifetime modelling, stochastic comparisons, aging classes, mixtures and copula theory. The book develops this knowledge with worked examples and supplies code for the program R so that students can explore its lessons and techniques.

Author : Arnljot Høyland
Publisher : John Wiley & Sons
ISBN 13 : 0470317744
Total Pages : 536 pages
Book Rating : 4.47/5 ( download)

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Download or read book System Reliability Theory written by Arnljot Høyland and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to reliability analysis. The first section provides a thorough but elementary prologue to reliability theory. The latter half comprises more advanced analytical tools including Markov processes, renewal theory, life data analysis, accelerated life testing and Bayesian reliability analysis. Features numerous worked examples. Each chapter concludes with a selection of problems plus additional material on applications.

Author : Jan Kåhre
Publisher : Springer Science & Business Media
ISBN 13 : 9781402070648
Total Pages : 528 pages
Book Rating : 4.40/5 ( download)

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Download or read book The Mathematical Theory of Information written by Jan Kåhre and published by Springer Science & Business Media. This book was released on 2002-06-30 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general concept of information is here, for the first time, defined mathematically by adding one single axiom to the probability theory. This Mathematical Theory of Information is explored in fourteen chapters: 1. Information can be measured in different units, in anything from bits to dollars. We will here argue that any measure is acceptable if it does not violate the Law of Diminishing Information. This law is supported by two independent arguments: one derived from the Bar-Hillel ideal receiver, the other is based on Shannon's noisy channel. The entropy in the 'classical information theory' is one of the measures conforming to the Law of Diminishing Information, but it has, however, properties such as being symmetric, which makes it unsuitable for some applications. The measure reliability is found to be a universal information measure. 2. For discrete and finite signals, the Law of Diminishing Information is defined mathematically, using probability theory and matrix algebra. 3. The Law of Diminishing Information is used as an axiom to derive essential properties of information. Byron's law: there is more information in a lie than in gibberish. Preservation: no information is lost in a reversible channel. Etc. The Mathematical Theory of Information supports colligation, i. e. the property to bind facts together making 'two plus two greater than four'. Colligation is a must when the information carries knowledge, or is a base for decisions. In such cases, reliability is always a useful information measure. Entropy does not allow colligation.