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Probability Approximations via the Poisson Clumping Heuristic, David Aldous


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Автор: David Aldous
Название:  Probability Approximations via the Poisson Clumping Heuristic
ISBN: 9781441930880
Издательство: Springer
Классификация:
ISBN-10: 1441930884
Обложка/Формат: Paperback
Страницы: 269
Вес: 0.41 кг.
Дата издания: 01.12.2010
Серия: Applied Mathematical Sciences
Язык: English
Размер: 234 x 156 x 15
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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: 18167.00 р.
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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?

Normal Approximations with Malliavin Calculus

Автор: Nourdin
Название: Normal Approximations with Malliavin Calculus
ISBN: 1107017777 ISBN-13(EAN): 9781107017771
Издательство: Cambridge Academ
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Цена: 11880.00 р.
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Описание: This book studies normal approximations by means of two powerful probabilistic techniques: the Malliavin calculus and Stein`s method. Largely self-contained it is perfect for self-study and will appeal both to researchers and to graduate students in probability and statistics.

Asymptotic Approximations for Probability Integrals

Автор: Karl W. Breitung
Название: Asymptotic Approximations for Probability Integrals
ISBN: 3540586172 ISBN-13(EAN): 9783540586173
Издательство: Springer
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Цена: 3487.00 р.
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Описание: This self-contained introduction to the subject includes a summary of results of the Laplace methods, which are useful in such areas as reliability, statistics, physics and information theory. A highlighted case is the approximation of multidimensional normal integrals.

Lundberg Approximations for Compound Distributions with Insurance Applications

Автор: Gordon E. Willmot; X. Sheldon Lin
Название: Lundberg Approximations for Compound Distributions with Insurance Applications
ISBN: 0387951350 ISBN-13(EAN): 9780387951355
Издательство: Springer
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Цена: 12577.00 р.
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Описание: These notes represent our summary of much of the recent research that has been done in recent years on approximations and bounds that have been developed for compound distributions and related quantities which are of interest in insurance and other areas of application in applied probability.

Relations, Bounds and Approximations for Order Statistics

Автор: Barry C. Arnold; Narayanaswamy Balakrishnan
Название: Relations, Bounds and Approximations for Order Statistics
ISBN: 0387969756 ISBN-13(EAN): 9780387969756
Издательство: Springer
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Цена: 16070.00 р.
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Описание: Balakrishnan Hamilton, Ontario Canada November, 1988 Table of Contents Chapter 1: TIlE DISTRIBUTION OF ORDER STATISTICS Exercises 4 Chapter 2: RECURRENCE RELATIONS AND IDENTITIES FOR ORDER STATISTICS 2. Results for two related populations 2. Results for exchangeable variates 23 25 Exercises Chapter 3: BOUNDS ON EXPECTATIONS OF ORDER STATISTICS 3.

Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications

Автор: Govindan
Название: Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications
ISBN: 3319456822 ISBN-13(EAN): 9783319456829
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics such as stochastic stability and stochastic optimal control. The theory assimilated spans more than 35 years of mathematics, but is developed slowly and methodically in digestible pieces.The book begins with a motivational chapter that introduces the reader to several different models that play recurring roles throughout the book as the theory is unfolded, and invites readers from different disciplines to see immediately that the effort required to work through the theory that follows is worthwhile. From there, the author presents the necessary prerequisite material, and then launches the reader into the main discussion of the monograph, namely, Yosida approximations of SDEs, Yosida approximations of SDEs with Poisson jumps, and their applications. Most of the results considered in the main chapters appear for the first time in a book form, and contain illustrative examples on stochastic partial differential equations. The key steps are included in all proofs, especially the various estimates, which help the reader to get a true feel for the theory of Yosida approximations and their use.This work is intended for researchers and graduate students in mathematics specializing in probability theory and will appeal to numerical analysts, engineers, physicists and practitioners in finance who want to apply the theory of stochastic evolution equations. Since the approach is based mainly in semigroup theory, it is amenable to a wide audience including non-specialists in stochastic processes.

Adaptive Algorithms and Stochastic Approximations

Автор: Albert Benveniste; S.S. Wilson; Michel Metivier; P
Название: Adaptive Algorithms and Stochastic Approximations
ISBN: 3642758967 ISBN-13(EAN): 9783642758966
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Adaptive systems are widely encountered in many applications ranging through adaptive filtering and more generally adaptive signal processing, systems identification and adaptive control, to pattern recognition and machine intelligence: adaptation is now recognised as keystone of "intelligence" within computerised systems.

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: 11878.00 р.
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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: 6986.00 р.
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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: 6288.00 р.
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Poisson Point Processes

Автор: Roy L. Streit
Название: Poisson Point Processes
ISBN: 1489994491 ISBN-13(EAN): 9781489994493
Издательство: Springer
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Цена: 18284.00 р.
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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.

The Poisson-Dirichlet Distribution and Related Topics

Автор: Shui Feng
Название: The Poisson-Dirichlet Distribution and Related Topics
ISBN: 3642111939 ISBN-13(EAN): 9783642111938
Издательство: Springer
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Цена: 13974.00 р.
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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.


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