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Crossings of Non-Gaussian Processes with Reliability Applications

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Release : 1987
Genre : Gaussian processes
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Crossings of Non-Gaussian Processes with Reliability Applications by : Arnold Herbert Buss

Download or read book Crossings of Non-Gaussian Processes with Reliability Applications written by Arnold Herbert Buss. This book was released on 1987. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Approximations for Probability Integrals

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Release : 2006-11-14
Genre : Technology & Engineering
Kind : eBook
Book Rating : 337/5 ( reviews)

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Book Synopsis Asymptotic Approximations for Probability Integrals by : Karl W. Breitung

Download or read book Asymptotic Approximations for Probability Integrals written by Karl W. Breitung. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a self-contained introduction to the subject of asymptotic approximation for multivariate integrals for both mathematicians and applied scientists. A collection of results of the Laplace methods is given. Such methods are useful for example in reliability, statistics, theoretical physics and information theory. An important special case is the approximation of multidimensional normal integrals. Here the relation between the differential geometry of the boundary of the integration domain and the asymptotic probability content is derived. One of the most important applications of these methods is in structural reliability. Engineers working in this field will find here a complete outline of asymptotic approximation methods for failure probability integrals.

Chaos Expansions, Multiple Wiener-Ito Integrals, and Their Applications

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Release : 1994-04-05
Genre : Mathematics
Kind : eBook
Book Rating : 723/5 ( reviews)

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Book Synopsis Chaos Expansions, Multiple Wiener-Ito Integrals, and Their Applications by : Christian Houdre

Download or read book Chaos Expansions, Multiple Wiener-Ito Integrals, and Their Applications written by Christian Houdre. This book was released on 1994-04-05. Available in PDF, EPUB and Kindle. Book excerpt: The study of chaos expansions and multiple Wiener-Ito integrals has become a field of considerable interest in applied and theoretical areas of probability, stochastic processes, mathematical physics, and statistics. Divided into four parts, this book features a wide selection of surveys and recent developments on these subjects. Part 1 introduces the concepts, techniques, and applications of multiple Wiener-Ito and related integrals. The second part includes papers on chaos random variables appearing in many limiting theorems. Part 3 is devoted to mixing, zero-one laws, and path continuity properties of chaos processes. The final part presents several applications to stochastic analysis.

Reliability Problems: General Principles and Applications in Mechanics of Solids and Structures

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Release : 2014-05-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 169/5 ( reviews)

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Book Synopsis Reliability Problems: General Principles and Applications in Mechanics of Solids and Structures by : F. Casciati

Download or read book Reliability Problems: General Principles and Applications in Mechanics of Solids and Structures written by F. Casciati. This book was released on 2014-05-04. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to present to researchers and engineers working on problems concerned with the mechanics of solids and structures, the current state of the development and application to procedures for assessing the reliability of a system. Particular attention is paid to their use in the analysis of complex engineering systems. The topics covered reflect the need to integrate, within the overall methodology, statistical methods for dealing with uncertain parameters and random excitation with the development of a suitable safety indexes and design codes. The basic principles of reliability theory, together with current standard methodology, including a consideration of the operational, economic and legal aspects of reliability assurance, is reviewed, together with an introduction to new developments, such as the application of expert systems technology. Damage accumulation predictions, with applications in seismic engineering are also covered.

Time-Dependent Reliability Theory and Its Applications

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Release : 2022-10-28
Genre : Technology & Engineering
Kind : eBook
Book Rating : 168/5 ( reviews)

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Book Synopsis Time-Dependent Reliability Theory and Its Applications by : Chun-Qing Li

Download or read book Time-Dependent Reliability Theory and Its Applications written by Chun-Qing Li. This book was released on 2022-10-28. Available in PDF, EPUB and Kindle. Book excerpt: Time-Dependent Reliability Theory and Its Applications introduces the theory of time-dependent reliability and presents methods to determine the reliability of structures over the lifespan of their services. The book contains state-of-the-art solutions to first passage probability derived from the theory of stochastic processes with different types of probability distribution functions, including Gaussian and non-Gaussian distributions and stationary and non-stationary processes. In addition, it provides various methods to determine the probability of failure over time, considering different failure modes and a methodology to predict the service life of structures. Sections also cover the applications of time-dependent reliability to prediction of service life and development of risk cost-optimized maintenance strategy for existing structures. This new book is for those who wants to know how to predict the service life of a structure (buildings, bridges, aircraft structures, etc.) and how to develop a risk-cost, optimized maintenance strategy for these structures. Presents the basic knowledge required to predict service life and develop a maintenance strategy for infrastructure Explains how to predict the remaining safe life of the infrastructure during its lifespan of operation Describes how to carry out maintenance for an infrastructure to ensure its safe and serviceable operation during the designed service life

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