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Author : Torkel Erhardsson
Publisher :
ISBN 13 : 9789171702098
Total Pages : 134 pages
Book Rating : 4.7/5 (2 download)
Download or read book Compound Poisson Approximation for Markov Chains written by Torkel Erhardsson and published by . This book was released on 1997 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Čekanavičius
Publisher : CRC Press
ISBN 13 : 1040037275
Total Pages : 320 pages
Book Rating : 4.0/5 (4 download)
Download or read book Compound Poisson Approximation written by V. Čekanavičius and published by CRC Press. This book was released on 2024-08-21 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compound Poisson approximation appears naturally in situations where one deals with a large number of rare events. It has important applications in insurance, extreme value theory, reliability theory, mathematical biology, and more. Compound Poisson Approximation synthesizes the most important recent research in the field in a single volume. With an extensive list of references, open problems, and exercises, it will become the standard reference book on the topic. Features • Provides a comprehensive overview of this rapidly expanding field • Synthesizes the most important research results of recent years • Presents an array of special topics • Provides the reader with a set of tools needed for research and education The book is of interest to researchers and postgraduate students from probability, statistics, and mathematics.
Author : A. D. Barbour
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (677 download)
Download or read book Compound Poisson Approximation for the Distribution of Extremes written by A. D. Barbour and published by . This book was released on 1999 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adel A. Zerai
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.:/5 (89 download)
Download or read book Poisson Approximation for Excursions of Adaptive Algorithms written by Adel A. Zerai and published by . This book was released on 1994 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. D. Barbour
Publisher : World Scientific
ISBN 13 : 981256280X
Total Pages : 240 pages
Book Rating : 4.8/5 (125 download)
Download or read book An Introduction to Stein's Method written by A. D. Barbour and published by World Scientific. This book was released on 2005 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: A common theme in probability theory is the approximation of complicated probability distributions by simpler ones, the central limit theorem being a classical example. Stein's method is a tool which makes this possible in a wide variety of situations. Traditional approaches, for example using Fourier analysis, become awkward to carry through in situations in which dependence plays an important part, whereas Stein's method can often still be applied to great effect. In addition, the method delivers estimates for the error in the approximation, and not just a proof of convergence. Nor is there in principle any restriction on the distribution to be approximated; it can equally well be normal, or Poisson, or that of the whole path of a random process, though the techniques have so far been worked out in much more detail for the classical approximation theorems.This volume of lecture notes provides a detailed introduction to the theory and application of Stein's method, in a form suitable for graduate students who want to acquaint themselves with the method. It includes chapters treating normal, Poisson and compound Poisson approximation, approximation by Poisson processes, and approximation by an arbitrary distribution, written by experts in the different fields. The lectures take the reader from the very basics of Stein's method to the limits of current knowledge.
Author : Andrew D. Barbour
Publisher :
ISBN 13 :
Total Pages : 41 pages
Book Rating : 4.:/5 (729 download)
Download or read book Compound Poisson Process Approximation written by Andrew D. Barbour and published by . This book was released on 2001 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Semenovich Koroli?uk
Publisher : World Scientific
ISBN 13 : 9812565914
Total Pages : 348 pages
Book Rating : 4.8/5 (125 download)
Download or read book Stochastic Systems in Merging Phase Space written by Vladimir Semenovich Koroli?uk and published by World Scientific. This book was released on 2005 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides recent results on the stochastic approximation of systems by weak convergence techniques. General and particular schemes of proofs for average, diffusion, and Poisson approximations of stochastic systems are presented, allowing one to simplify complex systems and obtain numerically tractable models.The systems discussed in the book include stochastic additive functionals, dynamical systems, stochastic integral functionals, increment processes and impulsive processes. All these systems are switched by Markov and semi-Markov processes whose phase space is considered in asymptotic split and merging schemes. Most of the results from semi-Markov processes are new and presented for the first time in this book.
Author : David Freedman
Publisher : Springer Science & Business Media
ISBN 13 : 1461382300
Total Pages : 150 pages
Book Rating : 4.4/5 (613 download)
Download or read book Approximating Countable Markov Chains written by David Freedman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: A long time ago I started writing a book about Markov chains, Brownian motion, and diffusion. I soon had two hundred pages of manuscript and my publisher was enthusiastic. Some years and several drafts later, I had a thousand pages of manuscript, and my publisher was less enthusiastic. So we made it a trilogy: Markov Chains Brownian Motion and Diffusion Approximating Countable Markov Chains familiarly - MC, B & D, and ACM. I wrote the first two books for beginning graduate students with some knowledge of probability; if you can follow Sections 10.4 to 10.9 of Markov Chains, you're in. The first two books are quite independent of one another, and completely independent of this one, which is a monograph explaining one way to think about chains with instantaneous states. The results here are supposed to be new, except when there are specific disclaimers. It's written in the framework of Markov chains; we wanted to reprint in this volume the MC chapters needed for reference. but this proved impossible. Most of the proofs in the trilogy are new, and I tried hard to make them explicit. The old ones were often elegant, but I seldom saw what made them go. With my own, I can sometimes show you why things work. And, as I will argue in a minute, my demonstrations are easier technically. If I wrote them down well enough, you may come to agree.
Author : Vydas Čekanavičius
Publisher :
ISBN 13 : 9781032763521
Total Pages : 0 pages
Book Rating : 4.7/5 (635 download)
Download or read book Compound Poisson Approximation written by Vydas Čekanavičius and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Compound Poisson Approximation appears naturally in situations where one deals with a large number of rare events. It has important applications in insurance, extreme value theory, reliability theory, mathematical biology, etc. This book synthesizes the most important recent research in the field in a single volume. With an extensive list of references, open problems and exercises, it will become the standard reference book on the topic. Features: Provides a comprehensive overview of this rapidly expanding field Synthesizes the most important research results of recent years Presents an array of special topics Provides the reader with a set of tools needed for research and education The book is of interest to researchers and postgraduate students from probability, statistics, and mathematics"--
Author : D N Shanbhag
Publisher : Gulf Professional Publishing
ISBN 13 : 9780444500144
Total Pages : 990 pages
Book Rating : 4.5/5 (1 download)
Download or read book Stochastic Processes: Theory and Methods written by D N Shanbhag and published by Gulf Professional Publishing. This book was released on 2001 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the series contains chapters on areas such as pareto processes, branching processes, inference in stochastic processes, Poisson approximation, Levy processes, and iterated random maps and some classes of Markov processes. Other chapters cover random walk and fluctuation theory, a semigroup representation and asymptomatic behavior of certain statistics of the Fisher-Wright-Moran coalescent, continuous-time ARMA processes, record sequence and their applications, stochastic networks with product form equilibrium, and stochastic processes in insurance and finance. Other subjects include renewal theory, stochastic processes in reliability, supports of stochastic processes of multiplicity one, Markov chains, diffusion processes, and Ito's stochastic calculus and its applications. c. Book News Inc.
Author : Andrew D. Barbour
Publisher :
ISBN 13 :
Total Pages : 43 pages
Book Rating : 4.:/5 (729 download)
Download or read book Compound Poisson Approximation written by Andrew D. Barbour and published by . This book was released on 2001 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : CH. A. Charalambides
Publisher : CRC Press
ISBN 13 : 1420036084
Total Pages : 665 pages
Book Rating : 4.4/5 (2 download)
Download or read book Probability and Statistical Models with Applications written by CH. A. Charalambides and published by CRC Press. This book was released on 2000-09-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph of carefully collected articles reviews recent developments in theoretical and applied statistical science, highlights current noteworthy results and illustrates their applications; and points out possible new directions to pursue. With its enlightening account of statistical discoveries and its numerous figures and tables, Probabili
Author : Andrew D. Barbour
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (73 download)
Download or read book Translated Poisson Approximation for Markov Chains written by Andrew D. Barbour and published by . This book was released on 2006 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. D. Barbour
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (897 download)
Download or read book Compound Poisson Approximation for Nonnegative Random Variables Via Stein's Method written by A. D. Barbour and published by . This book was released on 1990 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vassili N. Kolokoltsov
Publisher : Walter de Gruyter
ISBN 13 : 3110250101
Total Pages : 449 pages
Book Rating : 4.1/5 (12 download)
Download or read book Markov Processes, Semigroups, and Generators written by Vassili N. Kolokoltsov and published by Walter de Gruyter. This book was released on 2011 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers a highly useful, well developed reference on Markov processes, the universal model for random processes and evolutions. The wide range of applications, in exact sciences as well as in other areas like social studies, require a volume that offers a refresher on fundamentals before conveying the Markov processes and examples for
Author : Günter Last
Publisher : Cambridge University Press
ISBN 13 : 1107088011
Total Pages : 315 pages
Book Rating : 4.1/5 (7 download)
Download or read book Lectures on the Poisson Process written by Günter Last and published by Cambridge University Press. This book was released on 2017-10-26 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to the Poisson process, with general point processes and random measures, and applications to stochastic geometry.
Author : Thomas Mikosch
Publisher : Springer Science & Business Media
ISBN 13 : 3540882332
Total Pages : 435 pages
Book Rating : 4.5/5 (48 download)
Download or read book Non-Life Insurance Mathematics written by Thomas Mikosch and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties....The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy." --Zentralblatt für Didaktik der Mathematik
