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The Poisson-Dirichlet Distribution and Related Topics, Shui Feng


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Автор: Shui Feng
Название:  The Poisson-Dirichlet Distribution and Related Topics
ISBN: 9783642111938
Издательство: Springer
Классификация:

ISBN-10: 3642111939
Обложка/Формат: Hardcover
Страницы: 218
Вес: 0.50 кг.
Дата издания: 17.06.2010
Серия: Probability and Its Applications
Язык: English
Размер: 234 x 156 x 14
Читательская аудитория: Postgraduate, research & scholarly
Основная тема: Mathematics
Подзаголовок: Models and Asymptotic Behaviors
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The Poisson-Dirichlet distribution, a probability on the in?nite-dimensional s- plex, was introduced by Kingman in 1975. Since then it has found applications in Bayesian statistics, combinatorics, number theory, nance, macroeconomics, physics and, especially, in population genetics. Several books have appeared that contain sections or chapters on the Poisson-Dirichlet distribution. These include, but are not limited to, Aldous 2], Arratia, Barbour and Tavare 9], Ewens 67], Kingman 127, 130], and Pitman 155]. This book is the ?rst that focuses solely on the Poisson-Dirichlet distribution and some closely related topics. The purposes of this book are to introduce the Poisson-Dirichlet distribution, to study its connections to stochastic dynamics, and to give an up-to-date account of results concerning its various asymptotic behaviors. The book is divided into two parts. Part I, consisting of Chapters 1-6, includes a variety of models invo- ing the Poisson-Dirichlet distribution, and the central scheme is the uni?cation of the Poisson-Dirichlet distribution, the urn structure, the coalescent, and the evo- tionary dynamics through the grand particle systems of Donnelly and Kurtz. Part II discusses recent progress in the study of asymptotic behaviors of the Poisson- Dirichlet distribution, including uctuation theorems and large deviations. The or- inal Poisson-Dirichlet distribution contains one parameter denoted by?. We will also discuss an extension of this to a two-parameter distribution, where an ad- tional parameter? is needed.

Dirichlet Forms Methods for Poisson Point Measures and Levy

Автор: Bouleau Nicolas
Название: Dirichlet Forms Methods for Poisson Point Measures and Levy
ISBN: 3319258184 ISBN-13(EAN): 9783319258188
Издательство: Springer
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Цена: 79190.00 T
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Описание: A simplified approach to Malliavin calculus adapted to Poisson random measures is developed and applied in this book. Thanks to the theory of Dirichlet forms, the authors develop a mathematical tool for a quite general class of random Poisson measures and significantly simplify computations of Malliavin matrices of Poisson functionals.

Poisson Point Processes and Their Application to Markov Proc

Автор: Itф Kiyosi
Название: Poisson Point Processes and Their Application to Markov Proc
ISBN: 9811002711 ISBN-13(EAN): 9789811002717
Издательство: Springer
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Цена: 46570.00 T
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Описание: 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. For this, Ito used, as a fundamental tool, the notion of Poisson point processes formed of all excursions of the process on S \ {a}.

Doubly Stochastic Poisson Processes

Автор: J. Grandell
Название: Doubly Stochastic Poisson Processes
ISBN: 3540077952 ISBN-13(EAN): 9783540077954
Издательство: Springer
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Цена: 41920.00 T
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Probability Approximations via the Poisson Clumping Heuristic

Автор: David Aldous
Название: Probability Approximations via the Poisson Clumping Heuristic
ISBN: 1441930884 ISBN-13(EAN): 9781441930880
Издательство: Springer
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Цена: 121110.00 T
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Описание: If you place a large number of points randomly in the unit square, what is the distribution of the radius of the largest circle containing no points? If cars on a freeway move with constant speed (random from car to car), what is the longest stretch of empty road you will see during a long journey?

Probability Approximations via the Poisson Clumping Heuristic

Автор: David Aldous
Название: Probability Approximations via the Poisson Clumping Heuristic
ISBN: 0387968997 ISBN-13(EAN): 9780387968995
Издательство: Springer
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Цена: 121110.00 T
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Описание: If you place a large number of points randomly in the unit square, what is the distribution of the radius of the largest circle containing no points? If cars on a freeway move with constant speed (random from car to car), what is the longest stretch of empty road you will see during a long journey?

Poisson Point Processes

Автор: Roy L. Streit
Название: Poisson Point Processes
ISBN: 1489994491 ISBN-13(EAN): 9781489994493
Издательство: Springer
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Цена: 121890.00 T
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Описание: This overview of non-homogeneous and multidimensional Poisson point processes and their applications features mathematical tools and applications from emission- and transmission-computed tomography to multiple target tracking and distributed sensor detection.

Stochastic Analysis for Poisson Point Processes

Автор: Peccati
Название: Stochastic Analysis for Poisson Point Processes
ISBN: 3319052322 ISBN-13(EAN): 9783319052328
Издательство: Springer
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Цена: 102480.00 T
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Описание: Stochastic geometry is the branchof mathematics that studies geometric structures associated with randomconfigurations, such as random graphs, tilings and mosaics. Due to its closeties with stereology and spatial statistics, the results in this area arerelevant for a large number of important applications, e.g. to the mathematicalmodeling and statistical analysis of telecommunication networks, geostatisticsand image analysis. In recent years – due mainly to the impetus of the authorsand their collaborators – a powerful connection has been established betweenstochastic geometry and the Malliavin calculus of variations, which is acollection of probabilistic techniques based on the properties ofinfinite-dimensional differential operators. This has led in particular to thediscovery of a large number of new quantitative limit theorems forhigh-dimensional geometric objects. This unique book presents anorganic collection of authoritative surveys written by the principal actors in thisrapidly evolving field, offering a rigorous yet lively presentation of its manyfacets.

Vegetation dynamics in grasslans, heathlands and mediterranean ligneous formations

Автор: P. Poissonet; F. Romane; M.A. Austin; E. van der M
Название: Vegetation dynamics in grasslans, heathlands and mediterranean ligneous formations
ISBN: 9400979932 ISBN-13(EAN): 9789400979932
Издательство: Springer
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Цена: 81050.00 T
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Описание: Symposium of the Working Group for Succession Research on Permanent Plots, and Data-Processing of the International Society for Vegetation Sciences, Held at Montpellier, France, September 1980


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