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Author : A. D. Barbour
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (245 download)
Download or read book Compound Poisson Approximation and the Clustering of Random Points written by A. D. Barbour and published by . This book was released on 1998 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marianne Maansson
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (258 download)
Download or read book Poisson Approximation in Connection with Clustering of Random Points written by Marianne Maansson and published by . This book was released on 1997 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. D. Barbour
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (897 download)
Download or read book Compund Poisson Approximation and the Clustering of Random Points written by A. D. Barbour and published by . This book was released on 1998 with total page 21 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 : 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 : 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 : Peter Eichelsbacher
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (897 download)
Download or read book Compound Poisson Approximation for Dissociated Random Variables Via Stein'smethod written by Peter Eichelsbacher and published by . This book was released on 1998 with total page 16 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 : 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 : Ricardo Baeza-Yates
Publisher : Springer Science & Business Media
ISBN 13 : 0387233946
Total Pages : 497 pages
Book Rating : 4.3/5 (872 download)
Download or read book Recent Advances in Applied Probability written by Ricardo Baeza-Yates and published by Springer Science & Business Media. This book was released on 2006-02-28 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied probability is a broad research area that is of interest to scientists in diverse disciplines in science and technology, including: anthropology, biology, communication theory, economics, epidemiology, finance, geography, linguistics, medicine, meteorology, operations research, psychology, quality control, sociology, and statistics. Recent Advances in Applied Probability is a collection of survey articles that bring together the work of leading researchers in applied probability to present current research advances in this important area. This volume will be of interest to graduate students and researchers whose research is closely connected to probability modelling and their applications. It is suitable for one semester graduate level research seminar in applied probability.
Author : R. F. Serfozo
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (227 download)
Download or read book Compound Poisson Approximations for Sums of Random Variables written by R. F. Serfozo and published by . This book was released on 1985 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document shows that a sum of dependent random variables is approximately compound Poisson when the variables are rarely nonzero and, given they are nonzero, their conditional distributions are nearly identical. It give several upper bounds on the total-variation distance between the distribution of such a sum and a compund Poisson distribution. Included is an example for Markovian occurrences of a rare event. The bounds are consistent with those that are known for Poisson approximations for sums of uniformly small random variables. (Author).
Author : Joseph Glaz
Publisher : Springer Science & Business Media
ISBN 13 : 1475734603
Total Pages : 380 pages
Book Rating : 4.4/5 (757 download)
Download or read book Scan Statistics written by Joseph Glaz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many statistical applications, scientists have to analyze the occurrence of observed clusters of events in time or space. Scientists are especially interested in determining whether an observed cluster of events has occurred by chance if it is assumed that the events are distributed independently and uniformly over time or space. Scan statistics have relevant applications in many areas of science and technology including geology, geography, medicine, minefield detection, molecular biology, photography, quality control and reliability theory and radio-optics.
Author : Michael Falk
Publisher : Birkhäuser
ISBN 13 : 3034877919
Total Pages : 381 pages
Book Rating : 4.0/5 (348 download)
Download or read book Laws of Small Numbers: Extremes and Rare Events written by Michael Falk and published by Birkhäuser. This book was released on 2013-11-11 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the first edition of this seminar book, the theory and applications of extremes and rare events have seen increasing interest. Laws of Small Numbers gives a mathematically oriented development of the theory of rare events underlying various applications. The new edition incorporates numerous new results on about 130 additional pages. Part II, added in the second edition, discusses recent developments in multivariate extreme value theory.
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 : J Grandell
Publisher : CRC Press
ISBN 13 : 1000109992
Total Pages : 281 pages
Book Rating : 4.0/5 (1 download)
Download or read book Mixed Poisson Processes written by J Grandell and published by CRC Press. This book was released on 2020-10-28 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: To date, Mixed Poisson processes have been studied by scientists primarily interested in either insurance mathematics or point processes. Work in one area has often been carried out without knowledge of the other area. Mixed Poisson Processes is the first book to combine and concentrate on these two themes, and to distinguish between the notions of distributions and processes. The first part of the text gives special emphasis to the estimation of the underlying intensity, thinning, infinite divisibility, and reliability properties. The second part is, to a greater extent, based on Lundberg's thesis.
Author : Frank A. Haight
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.F/5 ( download)
Download or read book Handbook of the Poisson Distribution written by Frank A. Haight and published by . This book was released on 1967 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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"--
