Elements of the Theory of Markov Processes and Their Applications

Elements of the Theory of Markov Processes and Their Applications

Author: Albert T. Bharucha-Reid

Publisher: McGraw-Hill Companies

Published: 1960

Total Pages: 488

ISBN-13:

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Graduate-level text and reference in probability, with numerous scientific applications. Nonmeasure-theoretic introduction to theory of Markov processes and to mathematical models based on the theory. Appendixes. Bibliographies. 1960 edition.


Elements of the Theory of Markov Processes and Their Applications

Elements of the Theory of Markov Processes and Their Applications

Author: A. T. Bharucha-Reid

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 485

ISBN-13: 0486150356

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This graduate-level text and reference in probability, with numerous applications to several fields of science, presents nonmeasure-theoretic introduction to theory of Markov processes. The work also covers mathematical models based on the theory, employed in various applied fields. Prerequisites are a knowledge of elementary probability theory, mathematical statistics, and analysis. Appendixes. Bibliographies. 1960 edition.


The Elements of Stochastic Processes with Applications to the Natural Sciences

The Elements of Stochastic Processes with Applications to the Natural Sciences

Author: Norman T. J. Bailey

Publisher: John Wiley & Sons

Published: 1991-01-16

Total Pages: 268

ISBN-13: 9780471523680

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Develops an introductory and relatively simple account of the theory and application of the evolutionary type of stochastic process. Professor Bailey adopts the heuristic approach of applied mathematics and develops both theoretical principles and applied techniques simultaneously.


Finite Markov Processes and Their Applications

Finite Markov Processes and Their Applications

Author: Marius Iosifescu

Publisher: Courier Corporation

Published: 2014-07-01

Total Pages: 305

ISBN-13: 0486150585

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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.


Elements of Applied Stochastic Processes

Elements of Applied Stochastic Processes

Author: U. Narayan Bhat

Publisher: Wiley-Interscience

Published: 2002-09-06

Total Pages: 496

ISBN-13:

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The third edition of this volume improves on the last edition by condensing the material and organizing it into a more teachable format. It provides more in-depth coverage of Markov chains and simple Markov process and gives added emphasis to statistical inference in stochastic processes.


The Dynkin Festschrift

The Dynkin Festschrift

Author: Mark I. Freidlin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 433

ISBN-13: 1461202795

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Onishchik, A. A. Kirillov, and E. B. Vinberg, who obtained their first results on Lie groups in Dynkin's seminar. At a later stage, the work of the seminar was greatly enriched by the active participation of 1. 1. Pyatetskii Shapiro. As already noted, Dynkin started to work in probability as far back as his undergraduate studies. In fact, his first published paper deals with a problem arising in Markov chain theory. The most significant among his earliest probabilistic results concern sufficient statistics. In [15] and [17], Dynkin described all families of one-dimensional probability distributions admitting non-trivial sufficient statistics. These papers have considerably influenced the subsequent research in this field. But Dynkin's most famous results in probability concern the theory of Markov processes. Following Kolmogorov, Feller, Doob and Ito, Dynkin opened a new chapter in the theory of Markov processes. He created the fundamental concept of a Markov process as a family of measures corresponding to var ious initial times and states and he defined time homogeneous processes in terms of the shift operators ()t. In a joint paper with his student A.


Markov-modulated Processes & Semiregenerative Phenomena

Markov-modulated Processes & Semiregenerative Phenomena

Author: Ant¢nio Pacheco

Publisher: World Scientific

Published: 2009

Total Pages: 237

ISBN-13: 9812793186

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The book presents a coherent treatment of Markov random walks and Markov additive processes together with their applications. Part I provides the foundations of these stochastic processes underpinned by a solid theoretical framework based on Semiregenerative phenomena. Part II presents some applications to queueing and storage systems.