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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 : Peter Eichelsbacher
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (758 download)
Download or read book Compond Poisson Approximation for Dissociated Random Variables Via Stein's Method 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 : 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 : M. Lothaire
Publisher : Cambridge University Press
ISBN 13 : 9780521848022
Total Pages : 646 pages
Book Rating : 4.8/5 (48 download)
Download or read book Applied Combinatorics on Words written by M. Lothaire and published by Cambridge University Press. This book was released on 2005-07-11 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
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 : David J. Aldous
Publisher : American Mathematical Soc.
ISBN 13 : 0821808273
Total Pages : 233 pages
Book Rating : 4.8/5 (218 download)
Download or read book Microsurveys in Discrete Probability written by David J. Aldous and published by American Mathematical Soc.. This book was released on 1998 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprising the proceedings of a June 1997 DIMACS workshop held in Princeton, New Jersey, the 11 articles in this volume survey emerging topics in discrete probability including Markov chains, random trees, distributional estimates, and Poisson processes, and reconstructing random walk from scenery. Lacks an index. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : Lars Holst
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (186 download)
Download or read book Poisson Approximation Using the Stein-Chen Method and Coupling written by Lars Holst and published by . This book was released on 1988 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Richard L. Smith
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (227 download)
Download or read book Extreme Value for Dependent Sequences Via the Stein-Chen Method of Poisson Approximation written by Richard L. Smith and published by . This book was released on 1987 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1970 Stein introduced a new method for bounding the approximation error in central limit theory for dependent variables. This was subsequently developed by Chen for Poisson approximation and has proved very successful in the areas to which it has been applied. Here this document shows how the method can be applied to extreme value theory for dependent sequences, focussing particularly on the nonstationary case. The method gives new and shorter proofs of some known results, with explicit bounds for the approximation error. Keywords Stocastic process; Random variables.
Author : Louis Hsiao Yun Chen
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.F/5 ( download)
Download or read book Poisson Approximation for Sums of Dependent Bernoulli Random Variables written by Louis Hsiao Yun Chen and published by . This book was released on 1971 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. D. Barbour
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.3/5 (91 download)
Download or read book Poisson Approximation written by A. D. Barbour and published by . This book was released on 1992 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Poisson "law of small numbers" is a central principle in modern theories of reliability, insurance, and the statistics of extremes. It also has ramifications in apparently unrelated areas, such as the description of algebraic and combinatorial structures, and the distribution of prime numbers. Yet despite its importance, the law of small numbers is only an approximation. In 1975, however, a new technique was introduced, the Stein-Chen method, which makes it possible to estimate the accuracy of the approximation in a wide range of situations. This book provides an introduction to the method, and a varied selection of examples of its application, emphasizing the flexibility of the technique when combined with a judicious choice of coupling. It also contains more advanced material, in particular on compound Poisson and Poisson process approximation, where the reader is brought to the boundaries of current knowledge. The study will be of special interest to postgraduate students and researchers in applied probability as well as computer scientists.
Author : Anant P. Godbole
Publisher : Springer Science & Business Media
ISBN 13 : 9780792328346
Total Pages : 364 pages
Book Rating : 4.3/5 (283 download)
Download or read book Runs and Patterns in Probability: Selected Papers written by Anant P. Godbole and published by Springer Science & Business Media. This book was released on 1994-04-30 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Probability Theory of Patterns and Runs has had a long and distinguished history, starting with the work of de Moivre in the 18th century and that of von Mises in the early 1920's, and continuing with the renewal-theoretic results in Feller's classic text An Introduction to Probability Theory and its Applications, Volume 1. It is worthwhile to note, in particular, that de Moivre, in the third edition of The Doctrine of Chances (1756, reprinted by Chelsea in 1967, pp. 254-259), provides the generating function for the waiting time for the appearance of k consecutive successes. During the 1940's, statisticians such as Mood, Wolfowitz, David and Mosteller studied the distribution theory, both exact and asymptotic, of run-related statistics, thereby laying the foundation for several exact run tests. In the last two decades or so, the theory has seen an impressive re-emergence, primarily due to important developments in Molecular Biology, but also due to related research thrusts in Reliability Theory, Distribution Theory, Combinatorics, and Statistics.
Author : Małgorzata S. Roos-Stańko
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (613 download)
Download or read book Stein-Chen Method for Compound Poisson Approximation written by Małgorzata S. Roos-Stańko and published by . This book was released on 1993 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Malgorzata Roos
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (16 download)
Download or read book Stein-Chen method for compound Poisson approximation written by Malgorzata Roos and published by . This book was released on 1993 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Erol A. Peköz
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (33 download)
Download or read book Improving Poisson Approximations and Bounds written by Erol A. Peköz and published by . This book was released on 1995 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
