Nonlinearly Perturbed Regenerative Processes And Pseudo Stationary Phenomena For Stochastic Systems

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Quasi-Stationary Phenomena in Nonlinearly Perturbed Stochastic Systems

Author : Mats Gyllenberg
Publisher : Walter de Gruyter
ISBN 13 : 3110208253
Total Pages : 593 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Quasi-Stationary Phenomena in Nonlinearly Perturbed Stochastic Systems by : Mats Gyllenberg

Download or read book Quasi-Stationary Phenomena in Nonlinearly Perturbed Stochastic Systems written by Mats Gyllenberg and published by Walter de Gruyter. This book was released on 2008-10-31 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to studies of quasi-stationary phenomena in nonlinearly perturbed stochastic systems. New methods of asymptotic analysis for nonlinearly perturbed stochastic processes based on new types of asymptotic expansions for perturbed renewal equation and recurrence algorithms for construction of asymptotic expansions for Markov type processes with absorption are presented. Asymptotic expansions are given in mixed ergodic (for processes) and large deviation theorems (for absorption times) for nonlinearly perturbed regenerative processes, semi-Markov processes, and Markov chains. Applications to analysis of quasi-stationary phenomena in nonlinearly perturbed queueing systems, population dynamics and epidemic models, and for risk processes are presented. The book also contains an extended bibliography of works in the area. It is an essential reference for theoretical and applied researchers in the field of stochastic processes and their applications and may be also useful for doctoral and advanced undergraduate students.

Nonlinearly Perturbed Semi-Markov Processes

Author : Dmitrii Silvestrov
Publisher : Springer
ISBN 13 : 3319609882
Total Pages : 151 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Nonlinearly Perturbed Semi-Markov Processes by : Dmitrii Silvestrov

Download or read book Nonlinearly Perturbed Semi-Markov Processes written by Dmitrii Silvestrov and published by Springer. This book was released on 2017-09-06 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents new methods of asymptotic analysis for nonlinearly perturbed semi-Markov processes with a finite phase space. These methods are based on special time-space screening procedures for sequential phase space reduction of semi-Markov processes combined with the systematical use of operational calculus for Laurent asymptotic expansions. Effective recurrent algorithms are composed for getting asymptotic expansions, without and with explicit upper bounds for remainders, for power moments of hitting times, stationary and conditional quasi-stationary distributions for nonlinearly perturbed semi-Markov processes. These results are illustrated by asymptotic expansions for birth-death-type semi-Markov processes, which play an important role in various applications. The book will be a useful contribution to the continuing intensive studies in the area. It is an essential reference for theoretical and applied researchers in the field of stochastic processes and their applications that will contribute to continuing extensive studies in the area and remain relevant for years to come.

Stochastic Processes and Applications

Author : Sergei Silvestrov
Publisher : Springer
ISBN 13 : 3030028259
Total Pages : 482 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Stochastic Processes and Applications by : Sergei Silvestrov

Download or read book Stochastic Processes and Applications written by Sergei Silvestrov and published by Springer. This book was released on 2018-12-05 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications. It comprises selected, high-quality, refereed contributions from various large research communities in modern stochastic processes, algebraic structures and their interplay and applications. The chapters cover both theory and applications, illustrated by numerous figures, schemes, algorithms, tables and research results to help readers understand the material and develop new mathematical methods, concepts and computing applications in the future. Presenting new methods and results, reviews of cutting-edge research, and open problems and directions for future research, the book serves as a source of inspiration for a broad spectrum of researchers and research students in probability theory and mathematical statistics, applied algebraic structures, applied mathematics and other areas of mathematics and applications of mathematics. The book is based on selected contributions presented at the International Conference on “Stochastic Processes and Algebraic Structures – From Theory Towards Applications” (SPAS2017) to mark Professor Dmitrii Silvestrov’s 70th birthday and his 50 years of fruitful service to mathematics, education and international cooperation, which was held at Mälardalen University in Västerås and Stockholm University, Sweden, in October 2017.

Mathematical and Statistical Models and Methods in Reliability

Author : V.V. Rykov
Publisher : Springer Science & Business Media
ISBN 13 : 0817649719
Total Pages : 465 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical and Statistical Models and Methods in Reliability by : V.V. Rykov

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.

Perturbed Semi-Markov Type Processes I

Author : Dmitrii Silvestrov
Publisher : Springer Nature
ISBN 13 : 3030924033
Total Pages : 406 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Perturbed Semi-Markov Type Processes I by : Dmitrii Silvestrov

Download or read book Perturbed Semi-Markov Type Processes I written by Dmitrii Silvestrov and published by Springer Nature. This book was released on 2022-03-25 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first volume of a two-volume monograph devoted to the study of limit and ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov processes, and multi-alternating regenerative processes with semi-Markov modulation. The first volume presents necessary and sufficient conditions for weak convergence for first-rare-event times and convergence in the topology J for first-rare-event processes defined on regularly perturbed finite Markov chains and semi-Markov processes. The text introduces new asymptotic recurrent algorithms of phase space reduction. It also addresses both effective conditions of weak convergence for distributions of hitting times as well as convergence of expectations of hitting times for regularly and singularly perturbed finite Markov chains and semi-Markov processes. The book also contains a comprehensive bibliography of major works in the field. It provides an effective reference for both graduate students as well as theoretical and applied researchers studying stochastic processes and their applications.

Modern Problems in Insurance Mathematics

Author : Dmitrii Silvestrov
Publisher : Springer
ISBN 13 : 3319066536
Total Pages : 388 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Modern Problems in Insurance Mathematics by : Dmitrii Silvestrov

Download or read book Modern Problems in Insurance Mathematics written by Dmitrii Silvestrov and published by Springer. This book was released on 2014-06-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of 21 papers presented at the International Cramér Symposium on Insurance Mathematics (ICSIM) held at Stockholm University in June, 2013. The book comprises selected contributions from several large research communities in modern insurance mathematics and its applications. The main topics represented in the book are modern risk theory and its applications, stochastic modelling of insurance business, new mathematical problems in life and non-life insurance and related topics in applied and financial mathematics. The book is an original and useful source of inspiration and essential reference for a broad spectrum of theoretical and applied researchers, research students and experts from the insurance business. In this way, Modern Problems in Insurance Mathematics will contribute to the development of research and academy–industry co-operation in the area of insurance mathematics and its applications.

Statistical Theory and Method Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 882 pages
Book Rating : 4.:/5 (7 download)

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Book Synopsis Statistical Theory and Method Abstracts by :

Download or read book Statistical Theory and Method Abstracts written by and published by . This book was released on 2000 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semi-Markov Processes

Author : Franciszek Grabski
Publisher : Elsevier
ISBN 13 : 0128006595
Total Pages : 270 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Semi-Markov Processes by : Franciszek Grabski

Download or read book Semi-Markov Processes written by Franciszek Grabski and published by Elsevier. This book was released on 2014-09-25 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-Markov Processes: Applications in System Reliability and Maintenance is a modern view of discrete state space and continuous time semi-Markov processes and their applications in reliability and maintenance. The book explains how to construct semi-Markov models and discusses the different reliability parameters and characteristics that can be obtained from those models. The book is a useful resource for mathematicians, engineering practitioners, and PhD and MSc students who want to understand the basic concepts and results of semi-Markov process theory. - Clearly defines the properties and theorems from discrete state Semi-Markov Process (SMP) theory - Describes the method behind constructing Semi-Markov (SM) models and SM decision models in the field of reliability and maintenance - Provides numerous individual versions of SM models, including the most recent and their impact on system reliability and maintenance

Engineering Mathematics II

Author : Sergei Silvestrov
Publisher : Springer
ISBN 13 : 3319421050
Total Pages : 437 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Engineering Mathematics II by : Sergei Silvestrov

Download or read book Engineering Mathematics II written by Sergei Silvestrov and published by Springer. This book was released on 2017-02-10 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. It addresses mathematical methods of algebra, applied matrix analysis, operator analysis, probability theory and stochastic processes, geometry and computational methods in network analysis, data classification, ranking and optimisation. The individual chapters cover both theory and applications, and include a wealth of figures, schemes, algorithms, tables and results of data analysis and simulation. Presenting new methods and results, reviews of cutting-edge research, and open problems for future research, they equip readers to develop new mathematical methods and concepts of their own, and to further compare and analyse the methods and results discussed. The book consists of contributed chapters covering research developed as a result of a focused international seminar series on mathematics and applied mathematics and a series of three focused international research workshops on engineering mathematics organised by the Research Environment in Mathematics and Applied Mathematics at Mälardalen University from autumn 2014 to autumn 2015: the International Workshop on Engineering Mathematics for Electromagnetics and Health Technology; the International Workshop on Engineering Mathematics, Algebra, Analysis and Electromagnetics; and the 1st Swedish-Estonian International Workshop on Engineering Mathematics, Algebra, Analysis and Applications. It serves as a source of inspiration for a broad spectrum of researchers and research students in applied mathematics, as well as in the areas of applications of mathematics considered in the book.

Recent Advances in Reliability Theory

Author : N. Limnios
Publisher : Springer Science & Business Media
ISBN 13 : 1461213843
Total Pages : 515 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Recent Advances in Reliability Theory by : N. Limnios

Download or read book Recent Advances in Reliability Theory written by N. Limnios and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents thirty-one extensive and carefully edited chapters providing an up-to-date survey of new models and methods for reliability analysis and applications in science, engineering, and technology. The chapters contain broad coverage of the latest developments and innovative techniques in a wide range of theoretical and numerical issues in the field of statistical and probabilistic methods in reliability.

Limit Theorems for Randomly Stopped Stochastic Processes

Author : Dmitrii S. Silvestrov
Publisher : Springer Science & Business Media
ISBN 13 : 0857293907
Total Pages : 408 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Limit Theorems for Randomly Stopped Stochastic Processes by : Dmitrii S. Silvestrov

Download or read book Limit Theorems for Randomly Stopped Stochastic Processes written by Dmitrii S. Silvestrov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first to present a state-of-the-art overview of this field, with many results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast and technically demanding Russian literature in detail. Its coverage is thorough, streamlined and arranged according to difficulty.

Semi-Markov Models and Applications

Author : Jacques Janssen
Publisher : Springer Science & Business Media
ISBN 13 : 1461332885
Total Pages : 403 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Semi-Markov Models and Applications by : Jacques Janssen

Download or read book Semi-Markov Models and Applications written by Jacques Janssen and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a selection of papers presented to the Second Inter national Symposium on Semi-Markov Models: Theory and Applications held in Compiegne (France) in December 1998. This international meeting had the same aim as the first one held in Brussels in 1984 : to make, fourteen years later, the state of the art in the field of semi-Markov processes and their applications, bring together researchers in this field and also to stimulate fruitful discussions. The set of the subjects of the papers presented in Compiegne has a lot of similarities with the preceding Symposium; this shows that the main fields of semi-Markov processes are now well established particularly for basic applications in Reliability and Maintenance, Biomedicine, Queue ing, Control processes and production. A growing field is the one of insurance and finance but this is not really a surprising fact as the problem of pricing derivative products represents now a crucial problem in economics and finance. For example, stochastic models can be applied to financial and insur ance models as we have to evaluate the uncertainty of the future market behavior in order, firstly, to propose different measures for important risks such as the interest risk, the risk of default or the risk of catas trophe and secondly, to describe how to act in order to optimize the situation in time. Recently, the concept of VaR (Value at Risk) was "discovered" in portfolio theory enlarging so the fundamental model of Markowitz.

Applied Modeling Techniques and Data Analysis 1

Author : Yiannis Dimotikalis
Publisher : John Wiley & Sons
ISBN 13 : 1119821568
Total Pages : 306 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Applied Modeling Techniques and Data Analysis 1 by : Yiannis Dimotikalis

Download or read book Applied Modeling Techniques and Data Analysis 1 written by Yiannis Dimotikalis and published by John Wiley & Sons. This book was released on 2021-03-30 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: BIG DATA, ARTIFICIAL INTELLIGENCE AND DATA ANALYSIS SET Coordinated by Jacques Janssen Data analysis is a scientific field that continues to grow enormously, most notably over the last few decades, following rapid growth within the tech industry, as well as the wide applicability of computational techniques alongside new advances in analytic tools. Modeling enables data analysts to identify relationships, make predictions, and to understand, interpret and visualize the extracted information more strategically. This book includes the most recent advances on this topic, meeting increasing demand from wide circles of the scientific community. Applied Modeling Techniques and Data Analysis 1 is a collective work by a number of leading scientists, analysts, engineers, mathematicians and statisticians, working on the front end of data analysis and modeling applications. The chapters cover a cross section of current concerns and research interests in the above scientific areas. The collected material is divided into appropriate sections to provide the reader with both theoretical and applied information on data analysis methods, models and techniques, along with appropriate applications.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 812 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Structures and Applications

Author : Sergei Silvestrov
Publisher : Springer Nature
ISBN 13 : 3030418502
Total Pages : 976 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Algebraic Structures and Applications by : Sergei Silvestrov

Download or read book Algebraic Structures and Applications written by Sergei Silvestrov and published by Springer Nature. This book was released on 2020-06-18 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.

Nonlinear Oscillations and Waves in Dynamical Systems

Author : P.S Landa
Publisher : Springer Science & Business Media
ISBN 13 : 9401587639
Total Pages : 550 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Nonlinear Oscillations and Waves in Dynamical Systems by : P.S Landa

Download or read book Nonlinear Oscillations and Waves in Dynamical Systems written by P.S Landa and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science - the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader's attention to the present-day theory of non-linear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified poin t of view . The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory, and so on, are, in fact , constituent parts of this theory. The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations and waves.

Real-time Coastal Observing Systems for Marine Ecosystem Dynamics and Harmful Algal Blooms

Author : Babin, Marcel
Publisher : UNESCO
ISBN 13 : 9231040421
Total Pages : 880 pages
Book Rating : 4.2/5 (31 download)

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Book Synopsis Real-time Coastal Observing Systems for Marine Ecosystem Dynamics and Harmful Algal Blooms by : Babin, Marcel

Download or read book Real-time Coastal Observing Systems for Marine Ecosystem Dynamics and Harmful Algal Blooms written by Babin, Marcel and published by UNESCO. This book was released on 2008-06-05 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proliferation of harmful phytoplankton in marine ecosystems can cause massive fish kills, contaminate seafood with toxins, impact local and regional economies and dramatically affect ecological balance. Real-time observations are essential for effective short-term operational forecasting, but observation and modelling systems are still being developed. This volume provides guidance for developing real-time and near real-time sensing systems for observing and predicting plankton dynamics, including harmful algal blooms, in coastal waters. The underlying theory is explained and current trends in research and monitoring are discussed.Topics covered include: coastal ecosystems and dynamics of harmful algal blooms; theory and practical applications of in situ and remotely sensed optical detection of microalgal distributions and composition; theory and practical applications of in situ biological and chemical sensors for targeted species and toxin detection; integrated observing systems and platforms for detection; diagnostic and predictive modelling of ecosystems and harmful algal blooms, including data assimilation techniques; observational needs for the public and government; and future directions for research and operations.