Numerical Modelling of Random Processes and Fields

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110941996
Total Pages : 252 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Numerical Modelling of Random Processes and Fields by : V. A. Ogorodnikov

Download or read book Numerical Modelling of Random Processes and Fields written by V. A. Ogorodnikov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Numerical Modelling of Random Processes and Fields".

Models of Random Processes

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Publisher : CRC Press
ISBN 13 : 9780849328701
Total Pages : 456 pages
Book Rating : 4.3/5 (287 download)

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Book Synopsis Models of Random Processes by : Igor N. Kovalenko

Download or read book Models of Random Processes written by Igor N. Kovalenko and published by CRC Press. This book was released on 1996-07-08 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devising and investigating random processes that describe mathematical models of phenomena is a major aspect of probability theory applications. Stochastic methods have penetrated into an unimaginably wide scope of problems encountered by researchers who need stochastic methods to solve problems and further their studies. This handbook supplies the knowledge you need on the modern theory of random processes. Packed with methods, Models of Random Processes: A Handbook for Mathematicians and Engineers presents definitions and properties on such widespread processes as Poisson, Markov, semi-Markov, Gaussian, and branching processes, and on special processes such as cluster, self-exiting, double stochastic Poisson, Gauss-Poisson, and extremal processes occurring in a variety of different practical problems. The handbook is based on an axiomatic definition of probability space, with strict definitions and constructions of random processes. Emphasis is placed on the constructive definition of each class of random processes, so that a process is explicitly defined by a sequence of independent random variables and can easily be implemented into the modelling. Models of Random Processes: A Handbook for Mathematicians and Engineers will be useful to researchers, engineers, postgraduate students and teachers in the fields of mathematics, physics, engineering, operations research, system analysis, econometrics, and many others.

Spectral Models of Random Fields in Monte Carlo Methods

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Publisher : VSP
ISBN 13 : 9789067643436
Total Pages : 220 pages
Book Rating : 4.6/5 (434 download)

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Book Synopsis Spectral Models of Random Fields in Monte Carlo Methods by : Serge M. Prigarin

Download or read book Spectral Models of Random Fields in Monte Carlo Methods written by Serge M. Prigarin and published by VSP. This book was released on 2001 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral models were developed in the 1970s and have appeared to be very promising for various applications. Nowadays, spectral models are extensively used for stochastic simulation in atmosphere and ocean optics, turbulence theory, analysis of pollution transport for porous media, astrophysics, and other fields of science. The spectral models presented in this monograph represent a new class of numerical methods aimed at simulation of random processes and fields. The book is divided into four chapters, which deal with scalar spectral models and some of their applications, vector-valued spectral models, convergence of spectral models, and problems of optimisation and convergence for functional Monte Carlo methods. Furthermore, the monograph includes four appendices, in which auxiliary information is presented and additional problems are discussed. The book will be of value and interest to experts in Monte Carlo methods, as well as to those interested in the theory and applications of stochastic simulation.

Stochastic Simulation and Monte Carlo Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3642393632
Total Pages : 264 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Stochastic Simulation and Monte Carlo Methods by : Carl Graham

Download or read book Stochastic Simulation and Monte Carlo Methods written by Carl Graham and published by Springer Science & Business Media. This book was released on 2013-07-16 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In various scientific and industrial fields, stochastic simulations are taking on a new importance. This is due to the increasing power of computers and practitioners’ aim to simulate more and more complex systems, and thus use random parameters as well as random noises to model the parametric uncertainties and the lack of knowledge on the physics of these systems. The error analysis of these computations is a highly complex mathematical undertaking. Approaching these issues, the authors present stochastic numerical methods and prove accurate convergence rate estimates in terms of their numerical parameters (number of simulations, time discretization steps). As a result, the book is a self-contained and rigorous study of the numerical methods within a theoretical framework. After briefly reviewing the basics, the authors first introduce fundamental notions in stochastic calculus and continuous-time martingale theory, then develop the analysis of pure-jump Markov processes, Poisson processes, and stochastic differential equations. In particular, they review the essential properties of Itô integrals and prove fundamental results on the probabilistic analysis of parabolic partial differential equations. These results in turn provide the basis for developing stochastic numerical methods, both from an algorithmic and theoretical point of view. The book combines advanced mathematical tools, theoretical analysis of stochastic numerical methods, and practical issues at a high level, so as to provide optimal results on the accuracy of Monte Carlo simulations of stochastic processes. It is intended for master and Ph.D. students in the field of stochastic processes and their numerical applications, as well as for physicists, biologists, economists and other professionals working with stochastic simulations, who will benefit from the ability to reliably estimate and control the accuracy of their simulations.

Stochastic Processes: Modeling and Simulation

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Publisher : Gulf Professional Publishing
ISBN 13 : 9780444500137
Total Pages : 1028 pages
Book Rating : 4.5/5 (1 download)

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Book Synopsis Stochastic Processes: Modeling and Simulation by : D N Shanbhag

Download or read book Stochastic Processes: Modeling and Simulation written by D N Shanbhag and published by Gulf Professional Publishing. This book was released on 2003-02-24 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sequel to volume 19 of Handbook on Statistics on Stochastic Processes: Modelling and Simulation is concerned mainly with the theme of reviewing and, in some cases, unifying with new ideas the different lines of research and developments in stochastic processes of applied flavour. This volume consists of 23 chapters addressing various topics in stochastic processes. These include, among others, those on manufacturing systems, random graphs, reliability, epidemic modelling, self-similar processes, empirical processes, time series models, extreme value therapy, applications of Markov chains, modelling with Monte Carlo techniques, and stochastic processes in subjects such as engineering, telecommunications, biology, astronomy and chemistry. particular with modelling, simulation techniques and numerical methods concerned with stochastic processes. The scope of the project involving this volume as well as volume 19 is already clarified in the preface of volume 19. The present volume completes the aim of the project and should serve as an aid to students, teachers, researchers and practitioners interested in applied stochastic processes.

Stochastic Methods and their Applications to Communications

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Publisher : John Wiley & Sons
ISBN 13 : 0470021179
Total Pages : 446 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Stochastic Methods and their Applications to Communications by : Serguei Primak

Download or read book Stochastic Methods and their Applications to Communications written by Serguei Primak and published by John Wiley & Sons. This book was released on 2005-01-28 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Methods & their Applications to Communications presents a valuable approach to the modelling, synthesis and numerical simulation of random processes with applications in communications and related fields. The authors provide a detailed account of random processes from an engineering point of view and illustrate the concepts with examples taken from the communications area. The discussions mainly focus on the analysis and synthesis of Markov models of random processes as applied to modelling such phenomena as interference and fading in communications. Encompassing both theory and practice, this original text provides a unified approach to the analysis and generation of continuous, impulsive and mixed random processes based on the Fokker-Planck equation for Markov processes. Presents the cumulated analysis of Markov processes Offers a SDE (Stochastic Differential Equations) approach to the generation of random processes with specified characteristics Includes the modelling of communication channels and interfer ences using SDE Features new results and techniques for the of solution of the generalized Fokker-Planck equation Essential reading for researchers, engineers, and graduate and upper year undergraduate students in the field of communications, signal processing, control, physics and other areas of science, this reference will have wide ranging appeal.

Topics in Statistical Simulation

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Publisher : Springer
ISBN 13 : 1493921045
Total Pages : 531 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Topics in Statistical Simulation by : V.B. Melas

Download or read book Topics in Statistical Simulation written by V.B. Melas and published by Springer. This book was released on 2014-12-05 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Department of Statistical Sciences of the University of Bologna in collaboration with the Department of Management and Engineering of the University of Padova, the Department of Statistical Modelling of Saint Petersburg State University, and INFORMS Simulation Society sponsored the Seventh Workshop on Simulation. This international conference was devoted to statistical techniques in stochastic simulation, data collection, analysis of scientific experiments, and studies representing broad areas of interest. The previous workshops took place in St. Petersburg, Russia in 1994, 1996, 1998, 2001, 2005, and 2009. The Seventh Workshop took place in the Rimini Campus of the University of Bologna, which is in Rimini’s historical center.

Modeling Random Systems

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Publisher : Pearson Prentice Hall
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Modeling Random Systems by : J. R. Cogdell

Download or read book Modeling Random Systems written by J. R. Cogdell and published by Pearson Prentice Hall. This book was released on 2004 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: For undergraduate courses in probability, statistics, and random processes in Engineering, especially Electrical Engineering. This text equips students in engineering and other technical areas to understand, analyze, and design systems that have random aspects. Material on probability, statistics, and random processes is presented in a style that appeals to engineering interests and avoids excessive mathematical development. The unifying concept throughout the book is "modeling": probability is defined as a model for data, expectations model averages, the various distributions model real-world situations, random processes model analog and digital information-bearing signals, and white noise models wideband noise from physical processes.

Random Fields

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Publisher : World Scientific
ISBN 13 : 9812563539
Total Pages : 363 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Random Fields by : Erik Vanmarcke

Download or read book Random Fields written by Erik Vanmarcke and published by World Scientific. This book was released on 2010 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random variation is a fact of life that provides substance to a wide range of problems in the sciences, engineering, and economics. There is a growing need in diverse disciplines to model complex patterns of variation and interdependence using random fields, as both deterministic treatment and conventional statistics are often insufficient. An ideal random field model will capture key features of complex random phenomena in terms of a minimum number of physically meaningful and experimentally accessible parameters. This volume, a revised and expanded edition of an acclaimed book first published by the M I T Press, offers a synthesis of methods to describe and analyze and, where appropriate, predict and control random fields. There is much new material, covering both theory and applications, notably on a class of probability distributions derived from quantum mechanics, relevant to stochastic modeling in fields such as cosmology, biology and system reliability, and on discrete-unit or agent-based random processes.Random Fields is self-contained and unified in presentation. The first edition was found, in a review in EOS (American Geophysical Union) to be ?both technically interesting and a pleasure to read ? the presentation is clear and the book should be useful to almost anyone who uses random processes to solve problems in engineering or science ? and (there is) continued emphasis on describing the mathematics in physical terms.?

Simulation and Modeling Methodologies, Technologies and Applications

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Publisher : Springer
ISBN 13 : 3030014703
Total Pages : 376 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Simulation and Modeling Methodologies, Technologies and Applications by : Mohammad S. Obaidat

Download or read book Simulation and Modeling Methodologies, Technologies and Applications written by Mohammad S. Obaidat and published by Springer. This book was released on 2018-11-20 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights a set of selected, revised and extended papers from the 7th International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2017), held in Madrid, Spain, on July 26 to 28, 2017. The conference brought together researchers, engineers and practitioners whose work involves methodologies in and applications of modeling and simulation. The papers showcased here represent the very best papers from the Conference, and report on a broad range of new and innovative solutions.

Lectures on Random Evolution

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Publisher : World Scientific
ISBN 13 : 9789810205591
Total Pages : 158 pages
Book Rating : 4.2/5 (55 download)

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Book Synopsis Lectures on Random Evolution by : Mark A. Pinsky

Download or read book Lectures on Random Evolution written by Mark A. Pinsky and published by World Scientific. This book was released on 1991 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random evolution denotes a class of stochastic processes which evolve according to a rule which varies in time according to jumps. This is in contrast to diffusion processes, which assume that the rule changes continuously with time. Random evolutions provide a very flexible language, having the advantage that they permit direct numerical simulation-which is not possible for a diffusion process. Furthermore, they allow connections with hyperbolic partial differential equations and the kinetic theory of gases, which is impossible within the domain of diffusion proceses. They also posses great geometric invariance, allowing formulation on an arbitrary Riemannian manifold. In the field of stochastic stability, random evolutions furnish some easily computable models in which to study the Lyapunov exponent and rotation numbers of oscillators under the influence of noise. This monograph presents the various aspects of random evolution in an accessible and interesting format which will appeal to a large scientific audience.

Stochastic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1447123271
Total Pages : 534 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Stochastic Systems by : Mircea Grigoriu

Download or read book Stochastic Systems written by Mircea Grigoriu and published by Springer Science & Business Media. This book was released on 2012-05-15 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainty is an inherent feature of both properties of physical systems and the inputs to these systems that needs to be quantified for cost effective and reliable designs. The states of these systems satisfy equations with random entries, referred to as stochastic equations, so that they are random functions of time and/or space. The solution of stochastic equations poses notable technical difficulties that are frequently circumvented by heuristic assumptions at the expense of accuracy and rigor. The main objective of Stochastic Systems is to promoting the development of accurate and efficient methods for solving stochastic equations and to foster interactions between engineers, scientists, and mathematicians. To achieve these objectives Stochastic Systems presents: A clear and brief review of essential concepts on probability theory, random functions, stochastic calculus, Monte Carlo simulation, and functional analysis Probabilistic models for random variables and functions needed to formulate stochastic equations describing realistic problems in engineering and applied sciences Practical methods for quantifying the uncertain parameters in the definition of stochastic equations, solving approximately these equations, and assessing the accuracy of approximate solutions Stochastic Systems provides key information for researchers, graduate students, and engineers who are interested in the formulation and solution of stochastic problems encountered in a broad range of disciplines. Numerous examples are used to clarify and illustrate theoretical concepts and methods for solving stochastic equations. The extensive bibliography and index at the end of the book constitute an ideal resource for both theoreticians and practitioners.

The Geometry of Random Fields

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Publisher : SIAM
ISBN 13 : 0898716934
Total Pages : 295 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Geometry of Random Fields by : Robert J. Adler

Download or read book The Geometry of Random Fields written by Robert J. Adler and published by SIAM. This book was released on 2010-01-28 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.

Frontiers in Ecology Research

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Publisher : Nova Publishers
ISBN 13 : 9781600210600
Total Pages : 314 pages
Book Rating : 4.2/5 (16 download)

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Book Synopsis Frontiers in Ecology Research by : Stephanie D. Antonello

Download or read book Frontiers in Ecology Research written by Stephanie D. Antonello and published by Nova Publishers. This book was released on 2007 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ecology is the study of the interrelationships between organisms and their environment, including the biotic and abiotic components. There are at least six kinds of ecology: ecosystem, physiological, behavioural, population, and community; specific topics include: Acid Deposition, Acid Rain Revisited, Biodiversity, Biocomplexity, Carbon Sequestration in Soils, Coral Reefs, Ecosystem Services, Environmental Justice, Fire Ecology, Floods, Global Climate Change, Hypoxia, and Invasion. This book presents new research on ecology from around the world.

Diffusion in Random Fields

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Publisher : Springer
ISBN 13 : 303015081X
Total Pages : 267 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Diffusion in Random Fields by : Nicolae Suciu

Download or read book Diffusion in Random Fields written by Nicolae Suciu and published by Springer. This book was released on 2019-05-31 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents, in an accessible and self-consistent way, the theory of diffusion in random velocity fields, together with robust numerical simulation approaches. The focus is on transport processes in natural porous media, with applications to contaminant transport in groundwater. Starting from basic information on stochastic processes, more challenging issues are subsequently addressed, such as the correlation structure of the diffusion process in random fields, the relation between memory effects and ergodic properties, derivation and parameterizations of evolution equations for probability densities, and the relation between measurements and spatio-temporal upscaling. Written for readers with a background in applied mathematics, engineering, physics or geophysics, the book offers an essential basis for further research in the stochastic modeling of groundwater systems.

Level Sets and Extrema of Random Processes and Fields

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Publisher : John Wiley & Sons
ISBN 13 : 0470434635
Total Pages : 407 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Level Sets and Extrema of Random Processes and Fields by : Jean-Marc Azais

Download or read book Level Sets and Extrema of Random Processes and Fields written by Jean-Marc Azais and published by John Wiley & Sons. This book was released on 2009-02-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely and comprehensive treatment of random field theory with applications across diverse areas of study Level Sets and Extrema of Random Processes and Fields discusses how to understand the properties of the level sets of paths as well as how to compute the probability distribution of its extremal values, which are two general classes of problems that arise in the study of random processes and fields and in related applications. This book provides a unified and accessible approach to these two topics and their relationship to classical theory and Gaussian processes and fields, and the most modern research findings are also discussed. The authors begin with an introduction to the basic concepts of stochastic processes, including a modern review of Gaussian fields and their classical inequalities. Subsequent chapters are devoted to Rice formulas, regularity properties, and recent results on the tails of the distribution of the maximum. Finally, applications of random fields to various areas of mathematics are provided, specifically to systems of random equations and condition numbers of random matrices. Throughout the book, applications are illustrated from various areas of study such as statistics, genomics, and oceanography while other results are relevant to econometrics, engineering, and mathematical physics. The presented material is reinforced by end-of-chapter exercises that range in varying degrees of difficulty. Most fundamental topics are addressed in the book, and an extensive, up-to-date bibliography directs readers to existing literature for further study. Level Sets and Extrema of Random Processes and Fields is an excellent book for courses on probability theory, spatial statistics, Gaussian fields, and probabilistic methods in real computation at the upper-undergraduate and graduate levels. It is also a valuable reference for professionals in mathematics and applied fields such as statistics, engineering, econometrics, mathematical physics, and biology.

Introduction to Random Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540178743
Total Pages : 117 pages
Book Rating : 4.1/5 (787 download)

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Book Synopsis Introduction to Random Processes by : Yurii A. Rozanov

Download or read book Introduction to Random Processes written by Yurii A. Rozanov and published by Springer Science & Business Media. This book was released on 1987-01-01 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today, the theory of random processes represents a large field of mathematics with many different branches. This "Introduction to the Theory of Random Processes" applies mathematical models that are simple, but that have some importance for applications. The book starts with a treatment of homogeneous Markov processes with a countable number of states. The main topics are the ergodic theorem, the method of Kolmogorov's differential equations and Brownian motion, and the connecting link being the transition from Kolmogorov's differential-difference equations for random walk to a limit diffusion equation. The chapters that follow outline the foundations of stochastic analysis. They deal with random processes as curves in the space of random variables with the norm of quadratic mean. Random processes are then described by linear stochastic differential equations and their convergence behaviour is explored. The fundamentals of spectral analysis of stationary processes are considered and, finally, some special problems of estimation and filtration are discussed. In chapter 6 an attempt is made to apply direct probabilistic methods for sums of i.i.d. variables to a multi-server-system. As a complement, chapters 9 to 11 deal with nonlinear stochastic differential equations for diffusion processes.