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Markov Processes and Applications

2008-11-20 Mathematics
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Release : 2008-11-20
Genre : Mathematics
Kind : eBook
Book Rating : 863/5 ( reviews)

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Book Synopsis Markov Processes and Applications by : Etienne Pardoux

Download or read book Markov Processes and Applications written by Etienne Pardoux. This book was released on 2008-11-20. Available in PDF, EPUB and Kindle. Book excerpt: "This well-written book provides a clear and accessible treatment of the theory of discrete and continuous-time Markov chains, with an emphasis towards applications. The mathematical treatment is precise and rigorous without superfluous details, and the results are immediately illustrated in illuminating examples. This book will be extremely useful to anybody teaching a course on Markov processes." Jean-François Le Gall, Professor at Université de Paris-Orsay, France. Markov processes is the class of stochastic processes whose past and future are conditionally independent, given their present state. They constitute important models in many applied fields. After an introduction to the Monte Carlo method, this book describes discrete time Markov chains, the Poisson process and continuous time Markov chains. It also presents numerous applications including Markov Chain Monte Carlo, Simulated Annealing, Hidden Markov Models, Annotation and Alignment of Genomic sequences, Control and Filtering, Phylogenetic tree reconstruction and Queuing networks. The last chapter is an introduction to stochastic calculus and mathematical finance. Features include: The Monte Carlo method, discrete time Markov chains, the Poisson process and continuous time jump Markov processes. An introduction to diffusion processes, mathematical finance and stochastic calculus. Applications of Markov processes to various fields, ranging from mathematical biology, to financial engineering and computer science. Numerous exercises and problems with solutions to most of them

Markov Decision Processes with Applications to Finance

2011-06-06 Mathematics
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Release : 2011-06-06
Genre : Mathematics
Kind : eBook
Book Rating : 247/5 ( reviews)

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Book Synopsis Markov Decision Processes with Applications to Finance by : Nicole Bäuerle

Download or read book Markov Decision Processes with Applications to Finance written by Nicole Bäuerle. This book was released on 2011-06-06. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Markov decision processes focuses on controlled Markov chains in discrete time. The authors establish the theory for general state and action spaces and at the same time show its application by means of numerous examples, mostly taken from the fields of finance and operations research. By using a structural approach many technicalities (concerning measure theory) are avoided. They cover problems with finite and infinite horizons, as well as partially observable Markov decision processes, piecewise deterministic Markov decision processes and stopping problems. The book presents Markov decision processes in action and includes various state-of-the-art applications with a particular view towards finance. It is useful for upper-level undergraduates, Master's students and researchers in both applied probability and finance, and provides exercises (without solutions).

Finite Markov Processes and Their Applications

2014-07-01 Mathematics
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Release : 2014-07-01
Genre : Mathematics
Kind : eBook
Book Rating : 585/5 ( reviews)

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Book Synopsis Finite Markov Processes and Their Applications by : Marius Iosifescu

Download or read book Finite Markov Processes and Their Applications written by Marius Iosifescu. This book was released on 2014-07-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Semi-Markov Processes

2006-02-08 Mathematics
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Release : 2006-02-08
Genre : Mathematics
Kind : eBook
Book Rating : 488/5 ( reviews)

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Book Synopsis Applied Semi-Markov Processes by : Jacques Janssen

Download or read book Applied Semi-Markov Processes written by Jacques Janssen. This book was released on 2006-02-08. Available in PDF, EPUB and Kindle. Book excerpt: Aims to give to the reader the tools necessary to apply semi-Markov processes in real-life problems. The book is self-contained and, starting from a low level of probability concepts, gradually brings the reader to a deep knowledge of semi-Markov processes. Presents homogeneous and non-homogeneous semi-Markov processes, as well as Markov and semi-Markov rewards processes. The concepts are fundamental for many applications, but they are not as thoroughly presented in other books on the subject as they are here.

Continuous-Time Markov Chains and Applications

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 278/5 ( reviews)

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Book Synopsis Continuous-Time Markov Chains and Applications by : George G. Yin

Download or read book Continuous-Time Markov Chains and Applications written by George G. Yin. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Using a singular perturbation approach, this is a systematic treatment of those systems that naturally arise in queuing theory, control and optimisation, and manufacturing, gathering a number of ideas which were previously scattered throughout the literature. The book presents results on asymptotic expansions of the corresponding probability distributions, functional occupation measures, exponential upper bounds, and asymptotic normality. To bridge the gap between theory and applications, a large portion of the book is devoted to various applications, thus reducing the dimensionality for problems under Markovian disturbances and providing tools for dealing with large-scale and complex real-world situations. Much of this stems from the authors'recent research, presenting results which have not appeared elsewhere. An important reference for researchers in applied mathematics, probability and stochastic processes, operations research, control theory, and optimisation.

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