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Excursions Of Markov Processes
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Book Synopsis Excursions of Markov Processes by : Robert M. Blumenthal
Download or read book Excursions of Markov Processes written by Robert M. Blumenthal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let {Xti t ~ O} be a Markov process in Rl, and break up the path X t into (random) component pieces consisting of the zero set ({ tlX = O}) and t the "excursions away from 0," that is pieces of path X. : T ::5 s ::5 t, with Xr- = X = 0, but X. 1= 0 for T
Book Synopsis Excursions of Markov Processes by : Robert McCallum Blumenthal
Download or read book Excursions of Markov Processes written by Robert McCallum Blumenthal and published by . This book was released on 1992 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Processes and Point Processes of Excursions by : J. A. M. van der Weide
Download or read book Stochastic Processes and Point Processes of Excursions written by J. A. M. van der Weide and published by . This book was released on 1994 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Poisson Point Processes and Their Application to Markov Processes by : Kiyosi Itô
Download or read book Poisson Point Processes and Their Application to Markov Processes written by Kiyosi Itô and published by Springer. This book was released on 2015-12-24 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extension problem (often called a boundary problem) of Markov processes has been studied, particularly in the case of one-dimensional diffusion processes, by W. Feller, K. Itô, and H. P. McKean, among others. In this book, Itô discussed a case of a general Markov process with state space S and a specified point a ∈ S called a boundary. The problem is to obtain all possible recurrent extensions of a given minimal process (i.e., the process on S \ {a} which is absorbed on reaching the boundary a). The study in this lecture is restricted to a simpler case of the boundary a being a discontinuous entrance point, leaving a more general case of a continuous entrance point to future works. He established a one-to-one correspondence between a recurrent extension and a pair of a positive measure k(db) on S \ {a} (called the jumping-in measure and a non-negative number m
Book Synopsis Diffusions, Markov Processes and Martingales: Volume 2, Itô Calculus by : L. C. G. Rogers
Download or read book Diffusions, Markov Processes and Martingales: Volume 2, Itô Calculus written by L. C. G. Rogers and published by Cambridge University Press. This book was released on 2000-09-07 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This celebrated volume gives an accessible introduction to stochastic integrals, stochastic differential equations, excursion theory and the general theory of processes.
Book Synopsis General Theory of Markov Processes by :
Download or read book General Theory of Markov Processes written by and published by Academic Press. This book was released on 1988-11-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Theory of Markov Processes
Book Synopsis Diffusions, Markov Processes, and Martingales: Volume 1, Foundations by : L. C. G. Rogers
Download or read book Diffusions, Markov Processes, and Martingales: Volume 1, Foundations written by L. C. G. Rogers and published by Cambridge University Press. This book was released on 2000-04-13 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in paperback for the first time; essential reading for all students of probability theory.
Book Synopsis An excursion into Markov chains by : Marco Ferrante
Download or read book An excursion into Markov chains written by Marco Ferrante and published by Springer. This book was released on 2016-02-10 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook will present, in a rigorous way, the basic theory of the discrete-time and the continuous-time Markov chains, along with many examples and solved problems. For both the topics a simple model, the Random Walk and the Poisson Process respectively, will be used to anticipate and illustrate the most interesting concepts rigorously defined in the following sections. A great attention will be paid to the applications of the theory of the Markov chains and many classical as well as new results will be faced in the book. This textbook is intended for a basic course on stochastic processes at an advanced undergraduate level and the background needed will be a first course in probability theory. A big emphasis is given to the computational approach and to simulations.
Book Synopsis Stochastic Processes by : S. R. S. Varadhan
Download or read book Stochastic Processes written by S. R. S. Varadhan and published by American Mathematical Soc.. This book was released on 2007 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a brief introduction to stochastic processes studying certain elementary continuous-time processes. The text describes the Poisson process and related processes with independent increments as well as a brief look at Markov processes with a finite number of jumps.
Book Synopsis Boundary Theory for Symmetric Markov Processes by : M.L. Silverstein
Download or read book Boundary Theory for Symmetric Markov Processes written by M.L. Silverstein and published by Springer. This book was released on 2006-11-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Construction of Strong Markov Processes Through Excursions, and a Related Martin Boundary by : Thomas Stephenson Salisbury
Download or read book Construction of Strong Markov Processes Through Excursions, and a Related Martin Boundary written by Thomas Stephenson Salisbury and published by . This book was released on 1983 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Passage Times for Markov Chains by : R. Syski
Download or read book Passage Times for Markov Chains written by R. Syski and published by IOS Press. This book was released on 1992 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a survey of work on passage times in stable Markov chains with a discrete state space and a continuous time. Passage times have been investigated since early days of probability theory and its applications. The best known example is the first entrance time to a set, which embraces waiting times, busy periods, absorption problems, extinction phenomena, etc. Another example of great interest is the last exit time from a set. The book presents a unifying treatment of passage times, written in a systematic manner and based on modern developments. The appropriate unifying framework is provided by probabilistic potential theory, and the results presented in the text are interpreted from this point of view. In particular, the crucial role of the Dirichlet problem and the Poisson equation is stressed. The work is addressed to applied probalilists, and to those who are interested in applications of probabilistic methods in their own areas of interest. The level of presentation is that of a graduate text in applied stochastic processes. Hence, clarity of presentation takes precedence over secondary mathematical details whenever no serious harm may be expected. Advanced concepts described in the text gain nowadays growing acceptance in applied fields, and it is hoped that this work will serve as an useful introduction. Abstracted by Mathematical Reviews, issue 94c
Book Synopsis Itô’s Stochastic Calculus and Probability Theory by : Nobuyuki Ikeda
Download or read book Itô’s Stochastic Calculus and Probability Theory written by Nobuyuki Ikeda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Kiyosi Ito is well known as the creator of the modern theory of stochastic analysis. Although Ito first proposed his theory, now known as Ito's stochastic analysis or Ito's stochastic calculus, about fifty years ago, its value in both pure and applied mathematics is becoming greater and greater. For almost all modern theories at the forefront of probability and related fields, Ito's analysis is indispensable as an essential instrument, and it will remain so in the future. For example, a basic formula, called the Ito formula, is well known and widely used in fields as diverse as physics and economics. This volume contains 27 papers written by world-renowned probability theorists. Their subjects vary widely and they present new results and ideas in the fields where stochastic analysis plays an important role. Also included are several expository articles by well-known experts surveying recent developments. Not only mathematicians but also physicists, biologists, economists and researchers in other fields who are interested in the effectiveness of stochastic theory will find valuable suggestions for their research. In addition, students who are beginning their study and research in stochastic analysis and related fields will find instructive and useful guidance here. This volume is dedicated to Professor Ito on the occasion of his eightieth birthday as a token of deep appreciation for his great achievements and contributions. An introduction to and commentary on the scientific works of Professor Ito are also included.
Book Synopsis Local Times and Excursion Theory for Brownian Motion by : Ju-Yi Yen
Download or read book Local Times and Excursion Theory for Brownian Motion written by Ju-Yi Yen and published by Springer. This book was released on 2013-10-01 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph discusses the existence and regularity properties of local times associated to a continuous semimartingale, as well as excursion theory for Brownian paths. Realizations of Brownian excursion processes may be translated in terms of the realizations of a Wiener process under certain conditions. With this aim in mind, the monograph presents applications to topics which are not usually treated with the same tools, e.g.: arc sine law, laws of functionals of Brownian motion, and the Feynman-Kac formula.
Book Synopsis Seminar on Stochastic Processes, 1982 by : Cinlar
Download or read book Seminar on Stochastic Processes, 1982 written by Cinlar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of about half of the papers presented during a three-day seminar on stochastic processes held at Northwestern University in March 1982. This was the second of such yearly seminars aimed at bringing together a small group of researchers to discuss their current work in an informal atmosphere. The invited participants in this year's seminar were B. ATKINSON, R. BASS, K. BICHTELER, D. BURKHOLDER, K.L. CHUNG, J.L. DOOB, C. DOLEANS-DADE, H. FOLLMER, R.K. GETOOR, J. GLOVER, J. MITRO, D. MONRAD, E. PERKINS, J. PITMAN, Z. POP-STOJANOVIC, M.J. SHARPE, and J. WALSH. We thank them and the other participants for the lively atmosphere of the seminar. As mentioned above, the present volume is only a fragment of the work discussed at the seminar, the other work having been committed to other publications. The seminar was made possible through the enlightened support of the Air Force Office of Scientific Research, Grant No. 80-0252A. We are grateful to them as well as the publisher, Birkhauser, Boston, for their support and encouragement. E.C. , Evanston, 1983 Seminar on stochastic Processes, 1982 Birkhauser, Boston, 1983 GERM FIELDS AND A CONVERSE TO THE STRONG MARKOV PROPERTY by BRUCE W. ATKINSON 1. Introduction The purpose of this paper is to give an intrinsic characterization of optional (i.e., stopping) times for the general germ Markov process, which includes the general right process as a special case. We proceed from the general to the specific.
Book Synopsis Stochastic Processes by : Pierre Del Moral
Download or read book Stochastic Processes written by Pierre Del Moral and published by CRC Press. This book was released on 2017-02-24 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike traditional books presenting stochastic processes in an academic way, this book includes concrete applications that students will find interesting such as gambling, finance, physics, signal processing, statistics, fractals, and biology. Written with an important illustrated guide in the beginning, it contains many illustrations, photos and pictures, along with several website links. Computational tools such as simulation and Monte Carlo methods are included as well as complete toolboxes for both traditional and new computational techniques.
Book Synopsis Combinatorial Stochastic Processes by : Jim Pitman
Download or read book Combinatorial Stochastic Processes written by Jim Pitman and published by Springer. This book was released on 2006-07-21 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes.
