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Boundary Crossing of Brownian Motion, Hans R. Lerche


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Автор: Hans R. Lerche
Название:  Boundary Crossing of Brownian Motion
ISBN: 9780387964331
Издательство: Springer
Классификация:
ISBN-10: 0387964339
Обложка/Формат: Paperback
Страницы: 143
Вес: 0.25 кг.
Дата издания: 26.09.1986
Серия: Lecture Notes in Statistics
Язык: English
Размер: 244 x 170 x 8
Основная тема: Statistics
Подзаголовок: Its Relation to the Law of the Iterated Logarithm and to Sequential Analysis
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Two themes are treated which are closely related to each other and to the law of the iterated logarithm:* I) curved boundary first passage distributions of Brownian motion, 11) optimal properties of sequential tests with parabolic and nearly parabolic boundaries.


Brownian Motion and Stochastic Calculus

Автор: Karatzas
Название: Brownian Motion and Stochastic Calculus
ISBN: 0387976558 ISBN-13(EAN): 9780387976556
Издательство: Springer
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Цена: 6981.00 р.
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Описание: This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). This book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises.

Exponential Functionals of Brownian Motion and Related Processes

Автор: Yor Marc
Название: Exponential Functionals of Brownian Motion and Related Processes
ISBN: 3540659439 ISBN-13(EAN): 9783540659433
Издательство: Springer
Цена: 9776.00 р.
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Описание: This volume collects papers about the laws of geometric Brownian motions and their time-integrals, written by the author and coauthors between 1988 and 1998. These functionals play an important role in Mathematical Finance, as well as in (probabilistic) studies related to hyperbolic geometry, and also to random media. Throughout the volume, connections with more recent studies involving exponential functionals of LГ©vy processes are indicated. Some papers originally published in French are made available in English for the first time.

Brownian Motion

Автор: T.P. Speed; T. Hida
Название: Brownian Motion
ISBN: 1461260329 ISBN-13(EAN): 9781461260325
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Following the publication of the Japanese edition of this book, several inter- esting developments took place in the area. Speed v Preface The physical phenomenon described by Robert Brown was the complex and erratic motion of grains of pollen suspended in a liquid.

Stochastic Calculus for Fractional Brownian Motion and Applications

Автор: Francesca Biagini; Yaozhong Hu; Bernt ?ksendal; Tu
Название: Stochastic Calculus for Fractional Brownian Motion and Applications
ISBN: 1849969949 ISBN-13(EAN): 9781849969949
Издательство: Springer
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Описание: The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory.

Brownian Motion, Obstacles and Random Media

Автор: Alain-Sol Sznitman
Название: Brownian Motion, Obstacles and Random Media
ISBN: 3540645543 ISBN-13(EAN): 9783540645542
Издательство: Springer
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Описание: This book provides an account for the non-specialist of the circle of ideas, results and techniques, which grew out in the study of Brownian motion and random obstacles. It also includes an overview of known results and connections with other areas of random media, taking a highly original and personal approach throughout.

Stochastic calculus for fractional brownian motion and applications

Автор: Biagini, Francesca Hu, Yaozhong Oksendal, Bernt Zh
Название: Stochastic calculus for fractional brownian motion and applications
ISBN: 1852339969 ISBN-13(EAN): 9781852339968
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Fractional Brownian motion (fBm) has been widely used to model a number of phenomena in diverse fields from biology to finance. This book presents an account of different definitions of stochastic integration for fBm, and to give applications of the resulting theory. It is suitable for students of mathematics, biology, and meteorology.

Continuous martingales and brownian motion

Автор: Revuz, Daniel Yor, Marc
Название: Continuous martingales and brownian motion
ISBN: 3642084001 ISBN-13(EAN): 9783642084003
Издательство: Springer
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Цена: 13969.00 р.
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Описание: From the reviews: "This is a magnificent book Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion. The great strength of Revuz and Yor is the enormous variety of calculations carried out both in the main text and also (by implication) in the exercises. ... This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises, and throwing out challenging remarks about areas awaiting further research..."
Bull.L.M.S. 24, 4 (1992) Since the first edition in 1991, an impressive variety of advances has been made in relation to the material of this book, and these are reflected in the successive editions.

Handbook of Brownian motion: facts and  formulae

Автор: A. N Borodin и P. Salminen
Название: Handbook of Brownian motion: facts and formulae
ISBN: 3034894627 ISBN-13(EAN): 9783034894623
Издательство: Springer
Цена: 18167.00 р.
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Описание: There are two parts in this book. The first part is devoted mainly to the proper- ties of linear diffusions in general and Brownian motion in particular. The second part consists of tables of distributions of functionals of Brownian motion and re- lated processes. The primary aim of this book is to give an easy reference to a large number of facts and formulae associated to Brownian motion. We have tried to do this in a "handbook-style." By this we mean that results are given without proofs but are equipped with a reference where a proof or a derivation can be found. It is our belief and experience that such a material would be very much welcome by students and people working with applications of diffusions and Brownian motion. In discussions with many of our colleagues we have found that they share this point of view. Our original plan included more things than we were able to realize. It turned out very soon when trying to put the plan into practice that the material would be too wide to be published under one cover. Excursion theory, which most of the recent results concerning linear Brownian motion and diffusions can be classified as, is only touched upon slightly here, not to mention Brownian motion in several dimensions which enters only through the discussion of Bessel processes. On the other hand, much attention is given to the theory of local time.

Brownian Models of Performance and Control

Автор: Harrison
Название: Brownian Models of Performance and Control
ISBN: 1107018390 ISBN-13(EAN): 9781107018396
Издательство: Cambridge Academ
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Описание: This book from one of the field`s leaders covers Brownian motion and stochastic calculus at the graduate level, and illustrates the use of that theory in various application domains, emphasizing business and economics. Aimed at non-mathematicians who build and analyze stochastic models, it contains many concrete formulas and worked examples.

Brownian Motion, Obstacles and Random Media

Автор: Alain-Sol Sznitman
Название: Brownian Motion, Obstacles and Random Media
ISBN: 3642084206 ISBN-13(EAN): 9783642084201
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book provides an account for the non-specialist of the circle of ideas, results and techniques, which grew out in the study of Brownian motion and random obstacles. It also includes an overview of known results and connections with other areas of random media, taking a highly original and personal approach throughout.

Inference on the Hurst Parameter and the Variance of Diffusions Driven by Fractional Brownian Motion

Автор: Corinne Berzin; Alain Latour; Jos? R. Le?n
Название: Inference on the Hurst Parameter and the Variance of Diffusions Driven by Fractional Brownian Motion
ISBN: 3319078747 ISBN-13(EAN): 9783319078748
Издательство: Springer
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Описание: The models studied are fractional Brownian motions and processes that derive from them through stochastic differential equations.Concerning the proofs of the limit theorems, the "Fourth Moment Theorem" is systematically used, as it produces rapid and helpful proofs that can serve as models for the future.

Brownian Motion and Diffusion

Автор: David Freedman
Название: Brownian Motion and Diffusion
ISBN: 1461565766 ISBN-13(EAN): 9781461565765
Издательство: Springer
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Цена: 13974.00 р.
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Описание: A long time ago I started writing a book about Markov chains, Brownian motion, and diffusion. So we made it a trilogy: Markov Chains Brownian Motion and Diffusion Approximating Countable Markov Chains familiarly - Me, B & D, and ACM. it`s written in the framework of Markov Chains.


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