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Mathematical Theory of Reliability of Time Dependent Systems with Practical Applications

1997-07-16 Mathematics
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Release : 1997-07-16
Genre : Mathematics
Kind : eBook
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Book Synopsis Mathematical Theory of Reliability of Time Dependent Systems with Practical Applications by : Igor N. Kovalenko

Download or read book Mathematical Theory of Reliability of Time Dependent Systems with Practical Applications written by Igor N. Kovalenko. This book was released on 1997-07-16. Available in PDF, EPUB and Kindle. Book excerpt: One of the greatest problems in engineering is reliability. The performance of all machinery degrades over time and unless counteraction is taken at some point, any system will eventually fail. Once a system fails there are a number of possible solutions; the mathematical and statistical measurement and analysis of these solutions forms the mathematical theory of reliability. The aim of the authors is to concentrate on aspects of particular importance in the mathematical theory of reliability of time dependent systems rather than give a general overview. Particular emphasis is placed on fault tree analysis, Monte Carlo methods and importance measures. This book will be of particular interest to applied researchers and engineers working in areas where reliability is crucial. Contents Introduction, Markov and Semi-Markov models as a basis for the mathematical analysis of system reliability, methods for investigating homogeneous and non-homogeneous point processes (event flows), fault trees ? the current state of research, theory of redundant systems, Monte Carlo methods, reliability analysis using perturbation methods, stiff processes in reliability analysis, variance reduction methods, analytical-statistical methods for rapid simulation of repairable systems with structure redundancy, measures of reliability importance of components, index.

Mathematical Theory of Reliability

1996-01-01 Technology & Engineering
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Release : 1996-01-01
Genre : Technology & Engineering
Kind : eBook
Book Rating : 194/5 ( reviews)

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Book Synopsis Mathematical Theory of Reliability by : Richard E. Barlow

Download or read book Mathematical Theory of Reliability written by Richard E. Barlow. This book was released on 1996-01-01. 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. Mathematical reliability refers to a body of ideas, mathematical models, and methods directed toward the solution of problems in predicting, estimating, or optimizing the probability of survival, mean life, or, more generally, life distribution of components and systems. 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 republication. Unavailable since its original publication in 1965, Mathematical Theory of Reliability now joins a growing list of volumes in SIAM's Classics series. Although contemporary reliability books are now available, few provide as mathematically rigorous a treatment of the required probability background as this one.

Time Series

2011-01-25 Mathematics
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Release : 2011-01-25
Genre : Mathematics
Kind : eBook
Book Rating : 710/5 ( reviews)

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Book Synopsis Time Series by : Ngai Hang Chan

Download or read book Time Series written by Ngai Hang Chan. This book was released on 2011-01-25. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the comprehensive, hands-on guide to financial time series, now featuring S-Plus® and R software Time Series: Applications to Finance with R and S-Plus®, Second Edition is designed to present an in-depth introduction to the conceptual underpinnings and modern ideas of time series analysis. Utilizing interesting, real-world applications and the latest software packages, this book successfully helps readers grasp the technical and conceptual manner of the topic in order to gain a deeper understanding of the ever-changing dynamics of the financial world. With balanced coverage of both theory and applications, this Second Edition includes new content to accurately reflect the current state-of-the-art nature of financial time series analysis. A new chapter on Markov Chain Monte Carlo presents Bayesian methods for time series with coverage of Metropolis-Hastings algorithm, Gibbs sampling, and a case study that explores the relevance of these techniques for understanding activity in the Dow Jones Industrial Average. The author also supplies a new presentation of statistical arbitrage that includes discussion of pairs trading and cointegration. In addition to standard topics such as forecasting and spectral analysis, real-world financial examples are used to illustrate recent developments in nonstandard techniques, including: Nonstationarity Heteroscedasticity Multivariate time series State space modeling and stochastic volatility Multivariate GARCH Cointegration and common trends The book's succinct and focused organization allows readers to grasp the important ideas of time series. All examples are systematically illustrated with S-Plus® and R software, highlighting the relevance of time series in financial applications. End-of-chapter exercises and selected solutions allow readers to test their comprehension of the presented material, and a related Web site features additional data sets. Time Series: Applications to Finance with R and S-Plus® is an excellent book for courses on financial time series at the upper-undergraduate and beginning graduate levels. It also serves as an indispensible resource for practitioners working with financial data in the fields of statistics, economics, business, and risk management.

Proceedings of the XIII International Scientific Conference on Architecture and Construction 2020

2020-12-23 Technology & Engineering
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Release : 2020-12-23
Genre : Technology & Engineering
Kind : eBook
Book Rating : 081/5 ( reviews)

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Book Synopsis Proceedings of the XIII International Scientific Conference on Architecture and Construction 2020 by : Angela Mottaeva

Download or read book Proceedings of the XIII International Scientific Conference on Architecture and Construction 2020 written by Angela Mottaeva. This book was released on 2020-12-23. Available in PDF, EPUB and Kindle. Book excerpt: The book contains the latest studies on digitalization of transport and logistics, improving vehicle fuel efficiency, information technology and digital security, land management and cadastres, building structures, structural analysis, and energy conservation in construction. This book consists of papers presented during the XIII International Scientific Conference on Architecture and Construction 2020, which is dedicated to the 90th anniversary of Novosibirsk State University of Architecture and Civil Engineering, held on September 22–24, 2020. The book caters to researchers, scientists and industrial practitioners in the field of transportation engineering, logistics, intelligent transport systems, sustainable construction for housing and industrial buildings.

Random Data

2011-09-20 Technology & Engineering
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Release : 2011-09-20
Genre : Technology & Engineering
Kind : eBook
Book Rating : 824/5 ( reviews)

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Book Synopsis Random Data by : Julius S. Bendat

Download or read book Random Data written by Julius S. Bendat. This book was released on 2011-09-20. Available in PDF, EPUB and Kindle. Book excerpt: RANDOM DATA A TIMELY UPDATE OF THE CLASSIC BOOK ON THE THEORY AND APPLICATION OF RANDOM DATA ANALYSIS First published in 1971, Random Data served as an authoritative book on the analysis of experimental physical data for engineering and scientific applications. This Fourth Edition features coverage of new developments in random data management and analysis procedures that are applicable to a broad range of applied fields, from the aerospace and automotive industries to oceanographic and biomedical research. This new edition continues to maintain a balance of classic theory and novel techniques. The authors expand on the treatment of random data analysis theory, including derivations of key relationships in probability and random process theory. The book remains unique in its practical treatment of nonstationary data analysis and nonlinear system analysis, presenting the latest techniques on modern data acquisition, storage, conversion, and qualification of random data prior to its digital analysis. The Fourth Edition also includes: A new chapter on frequency domain techniques to model and identify nonlinear systems from measured input/output random data New material on the analysis of multiple-input/single-output linear models The latest recommended methods for data acquisition and processing of random data Important mathematical formulas to design experiments and evaluate results of random data analysis and measurement procedures Answers to the problem in each chapter Comprehensive and self-contained, Random Data, Fourth Edition is an indispensible book for courses on random data analysis theory and applications at the upper-under-graduate and graduate level. It is also an insightful reference for engineers and scientists who use statistical methods to investigate and solve problems with dynamic data.

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