Compound Poisson Approximation
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Compound Poisson Approximation
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Author : V. Čekanavičius
language : en
Publisher: CRC Press
Release Date : 2024-08-21
Compound Poisson Approximation written by V. Čekanavičius and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-21 with Mathematics categories.
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.
Compound Poisson Approximation
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Author : Vydas Čekanavičius
language : en
Publisher:
Release Date : 2024
Compound Poisson Approximation written by Vydas Čekanavičius and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Approximation theory categories.
"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"--
Compound Poisson Approximation
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Author : Andrew D. Barbour
language : en
Publisher:
Release Date : 2001
Compound Poisson Approximation written by Andrew D. Barbour and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Compound Poisson Approximation For The Distribution Of Extremes
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Author : A. D. Barbour
language : en
Publisher:
Release Date : 1999
Compound Poisson Approximation For The Distribution Of Extremes written by A. D. Barbour and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
On Accuracy Of Multivariate Compound Poisson Approximation
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Author : S. Y. Novak
language : en
Publisher:
Release Date : 2000
On Accuracy Of Multivariate Compound Poisson Approximation written by S. Y. Novak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Compound Poisson Approximation And The Clustering Of Random Points
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Author : A. D. Barbour
language : en
Publisher:
Release Date : 1998
Compound Poisson Approximation And The Clustering Of Random Points written by A. D. Barbour and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Compound Poisson Approximation For Nonnegative Random Variables Via Stein S Method
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Author : A. D. Barbour
language : en
Publisher:
Release Date : 1990
Compound Poisson Approximation For Nonnegative Random Variables Via Stein S Method written by A. D. Barbour and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Stein S Method And Applications
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Author : A. D. Barbour
language : en
Publisher: World Scientific
Release Date : 2005
Stein S Method And Applications written by A. D. Barbour and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Stein's startling technique for deriving probability approximations first appeared about 30 years ago. Since then, much has been done to refine and develop the method, but it is still a highly active field of research, with many outstanding problems, both theoretical and in applications. This volume, the proceedings of a workshop held in honour of Charles Stein in Singapore, August 1983, contains contributions from many of the mathematicians at the forefront of this effort. It provides a cross-section of the work currently being undertaken, with many pointers to future directions. The papers in the collection include applications to the study of random binary search trees, Brownian motion on manifolds, Monte-Carlo integration, Edgeworth expansions, regenerative phenomena, the geometry of random point sets, and random matrices.
An Introduction To Stein S Method
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Author : A. D. Barbour
language : en
Publisher: World Scientific
Release Date : 2005
An Introduction To Stein S Method written by A. D. Barbour and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
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.
Compound Poisson Approximation For Dissociated Random Variables Via Stein Smethod
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Author : Peter Eichelsbacher
language : en
Publisher:
Release Date : 1998
Compound Poisson Approximation For Dissociated Random Variables Via Stein Smethod written by Peter Eichelsbacher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.