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Markov Processes


Markov Processes
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An Introduction To Markov Processes


An Introduction To Markov Processes
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Author : Daniel W. Stroock
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-23

An Introduction To Markov Processes written by Daniel W. Stroock and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-23 with Mathematics categories.


Provides a more accessible introduction than other books on Markov processes by emphasizing the structure of the subject and avoiding sophisticated measure theory Leads the reader to a rigorous understanding of basic theory



Controlled Markov Processes And Viscosity Solutions


Controlled Markov Processes And Viscosity Solutions
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Author : Wendell H. Fleming
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-04

Controlled Markov Processes And Viscosity Solutions written by Wendell H. Fleming and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-04 with Mathematics categories.


This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic programming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.



Markov Processes


Markov Processes
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Author : Daniel T. Gillespie
language : en
Publisher: Gulf Professional Publishing
Release Date : 1992

Markov Processes written by Daniel T. Gillespie and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.


Markov process theory provides a mathematical framework for analyzing the elements of randomness that are involved in most real-world dynamical processes. This introductory text, which requires an understanding of ordinary calculus, develops the concepts and results of random variable theory.



Markov Processes


Markov Processes
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Author : Daniel T. Gillespie
language : en
Publisher: Elsevier
Release Date : 1991-12-02

Markov Processes written by Daniel T. Gillespie and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-12-02 with Mathematics categories.


Markov process theory is basically an extension of ordinary calculus to accommodate functions whos time evolutions are not entirely deterministic. It is a subject that is becoming increasingly important for many fields of science. This book develops the single-variable theory of both continuous and jump Markov processes in a way that should appeal especially to physicists and chemists at the senior and graduate level. - A self-contained, prgamatic exposition of the needed elements of random variable theory - Logically integrated derviations of the Chapman-Kolmogorov equation, the Kramers-Moyal equations, the Fokker-Planck equations, the Langevin equation, the master equations, and the moment equations - Detailed exposition of Monte Carlo simulation methods, with plots of many numerical examples - Clear treatments of first passages, first exits, and stable state fluctuations and transitions - Carefully drawn applications to Brownian motion, molecular diffusion, and chemical kinetics



Markov Processes Brownian Motion And Time Symmetry


Markov Processes Brownian Motion And Time Symmetry
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Author : Kai Lai Chung
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-15

Markov Processes Brownian Motion And Time Symmetry written by Kai Lai Chung and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-15 with Mathematics categories.


From the reviews of the First Edition: "This excellent book is based on several sets of lecture notes written over a decade and has its origin in a one-semester course given by the author at the ETH, Zürich, in the spring of 1970. The author's aim was to present some of the best features of Markov processes and, in particular, of Brownian motion with a minimum of prerequisites and technicalities. The reader who becomes acquainted with the volume cannot but agree with the reviewer that the author was very successful in accomplishing this goal...The volume is very useful for people who wish to learn Markov processes but it seems to the reviewer that it is also of great interest to specialists in this area who could derive much stimulus from it. One can be convinced that it will receive wide circulation." (Mathematical Reviews) This new edition contains 9 new chapters which include new exercises, references, and multiple corrections throughout the original text.



Labelled Markov Processes


Labelled Markov Processes
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Author : Prakash Panangaden
language : en
Publisher: Imperial College Press
Release Date : 2009

Labelled Markov Processes written by Prakash Panangaden and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


Labelled Markov processes are probabilistic versions of labelled transition systems with continuous state spaces. The book covers basic probability and measure theory on continuous state spaces and then develops the theory of LMPs.



Markov Processes For Stochastic Modeling


Markov Processes For Stochastic Modeling
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Author : Oliver Ibe
language : en
Publisher: Academic Press
Release Date : 2008-09-02

Markov Processes For Stochastic Modeling written by Oliver Ibe and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-02 with Mathematics categories.


Markov processes are used to model systems with limited memory. They are used in many areas including communications systems, transportation networks, image segmentation and analysis, biological systems and DNA sequence analysis, random atomic motion and diffusion in physics, social mobility, population studies, epidemiology, animal and insect migration, queueing systems, resource management, dams, financial engineering, actuarial science, and decision systems. This book, which is written for upper level undergraduate and graduate students, and researchers, presents a unified presentation of Markov processes. In addition to traditional topics such as Markovian queueing system, the book discusses such topics as continuous-time random walk,correlated random walk, Brownian motion, diffusion processes, hidden Markov models, Markov random fields, Markov point processes and Markov chain Monte Carlo. Continuous-time random walk is currently used in econophysics to model the financial market, which has traditionally been modelled as a Brownian motion. Correlated random walk is popularly used in ecological studies to model animal and insect movement. Hidden Markov models are used in speech analysis and DNA sequence analysis while Markov random fields and Markov point processes are used in image analysis. Thus, the book is designed to have a very broad appeal.- Provides the practical, current applications of Markov processes- Coverage of HMM, Point processes, and Monte Carlo- Includes enough theory to help students gain throrough understanding of the subject- Principles can be immediately applied in many specific research projects, saving researchers time- End of chapter exercises provide reinforcement, practice and increased understanding to the student



Finite Markov Processes And Their Applications


Finite Markov Processes And Their Applications
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Author : Marius Iosifescu
language : en
Publisher: Courier Corporation
Release Date : 2014-07-01

Finite Markov Processes And Their Applications written by Marius Iosifescu and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-01 with Mathematics categories.


A self-contained treatment of finite Markov chains and processes, this text covers both theory and applications. Author Marius Iosifescu, vice president of the Romanian Academy and director of its Center for Mathematical Statistics, begins with a review of relevant aspects of probability theory and linear algebra. Experienced readers may start with the second chapter, a treatment of fundamental concepts of homogeneous finite Markov chain theory that offers examples of applicable models. The text advances to studies of two basic types of homogeneous finite Markov chains: absorbing and ergodic chains. A complete study of the general properties of homogeneous chains follows. Succeeding chapters examine the fundamental role of homogeneous infinite Markov chains in mathematical modeling employed in the fields of psychology and genetics; the basics of nonhomogeneous finite Markov chain theory; and a study of Markovian dependence in continuous time, which constitutes an elementary introduction to the study of continuous parameter stochastic processes.



Markov Processes Gaussian Processes And Local Times


Markov Processes Gaussian Processes And Local Times
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Author : Michael B. Marcus
language : en
Publisher: Cambridge University Press
Release Date : 2006-07-24

Markov Processes Gaussian Processes And Local Times written by Michael B. Marcus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-24 with Mathematics categories.


A readable 2006 synthesis of three main areas in the modern theory of stochastic processes.



Semi Markov Processes And Reliability


Semi Markov Processes And Reliability
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Author : Nikolaos Limnios
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-02-16

Semi Markov Processes And Reliability written by Nikolaos Limnios and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-16 with Technology & Engineering categories.


At first there was the Markov property. The theory of stochastic processes, which can be considered as an exten sion of probability theory, allows the modeling of the evolution of systems through the time. It cannot be properly understood just as pure mathemat ics, separated from the body of experience and examples that have brought it to life. The theory of stochastic processes entered a period of intensive develop ment, which is not finished yet, when the idea of the Markov property was brought in. Not even a serious study of the renewal processes is possible without using the strong tool of Markov processes. The modern theory of Markov processes has its origins in the studies by A. A: Markov (1856-1922) of sequences of experiments "connected in a chain" and in the attempts to describe mathematically the physical phenomenon known as Brownian mo tion. Later, many generalizations (in fact all kinds of weakenings of the Markov property) of Markov type stochastic processes were proposed. Some of them have led to new classes of stochastic processes and useful applications. Let us mention some of them: systems with complete connections [90, 91, 45, 86]; K-dependent Markov processes [44]; semi-Markov processes, and so forth. The semi-Markov processes generalize the renewal processes as well as the Markov jump processes and have numerous applications, especially in relia bility.