Handbook Of Brownian Motion

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Handbook of Brownian Motion - Facts and Formulae

Author : Andrei N. Borodin
Publisher : Springer Science & Business Media
ISBN 13 : 9783764367053
Total Pages : 710 pages
Book Rating : 4.3/5 (67 download)

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Book Synopsis Handbook of Brownian Motion - Facts and Formulae by : Andrei N. Borodin

Download or read book Handbook of Brownian Motion - Facts and Formulae written by Andrei N. Borodin and published by Springer Science & Business Media. This book was released on 2015-07-14 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is easy reference to a wealth of facts and formulae associated with Brownian motion, collecting in one volume more than 2500 numbered formulae. The book serves as a basic reference for researchers, graduate students, and people doing applied work with Brownian motion and diffusions, and can be used as a source of explicit examples when teaching stochastic processes.

Handbook of Brownian Motion

Author : A. N. Borodin
Publisher : Birkhauser
ISBN 13 : 9780817667054
Total Pages : 672 pages
Book Rating : 4.6/5 (67 download)

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Book Synopsis Handbook of Brownian Motion by : A. N. Borodin

Download or read book Handbook of Brownian Motion written by A. N. Borodin and published by Birkhauser. This book was released on 2002-01-01 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Brownian Motion

Author : Andrei Borodin
Publisher :
ISBN 13 : 9783034876537
Total Pages : 480 pages
Book Rating : 4.8/5 (765 download)

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Book Synopsis Handbook of Brownian Motion by : Andrei Borodin

Download or read book Handbook of Brownian Motion written by Andrei Borodin and published by . This book was released on 1996-10-01 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Some Aspects of Brownian Motion

Author : Marc Yor
Publisher : Birkhäuser
ISBN 13 : 3034889542
Total Pages : 160 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Some Aspects of Brownian Motion by : Marc Yor

Download or read book Some Aspects of Brownian Motion written by Marc Yor and published by Birkhäuser. This book was released on 2012-12-06 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following notes represent approximately the second half of the lectures I gave in the Nachdiplomvorlesung, in ETH, Zurich, between October 1991 and February 1992, together with the contents of six additional lectures I gave in ETH, in November and December 1993. Part I, the elder brother of the present book [Part II], aimed at the computation, as explicitly as possible, of a number of interesting functionals of Brownian motion. It may be natural that Part II, the younger brother, looks more into the main technique with which Part I was "working", namely: martingales and stochastic calculus. As F. Knight writes, in a review article on Part I, in which research on Brownian motion is compared to gold mining: "In the days of P. Levy, and even as late as the theorems of "Ray and Knight" (1963), it was possible for the practiced eye to pick up valuable reward without the aid of much technology . . . Thereafter, however, the rewards are increasingly achieved by the application of high technology". Although one might argue whether this golden age is really foregone, and discuss the "height" of the technology involved, this quotation is closely related to the main motivations of Part II: this technology, which includes stochastic calculus for general discontinuous semi-martingales, enlargement of filtrations, . . .

Handbook of Brownian Motion

Author : Andrei Borodin
Publisher : Birkhäuser
ISBN 13 : 3034876521
Total Pages : 478 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Handbook of Brownian Motion by : Andrei Borodin

Download or read book Handbook of Brownian Motion written by Andrei Borodin and published by Birkhäuser. This book was released on 2012-12-06 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractional Brownian Motion

Author : Oksana Banna
Publisher : John Wiley & Sons
ISBN 13 : 1786302608
Total Pages : 288 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Fractional Brownian Motion by : Oksana Banna

Download or read book Fractional Brownian Motion written by Oksana Banna and published by John Wiley & Sons. This book was released on 2019-04-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies the relationships between fractional Brownian motion (fBm) and other processes of more simple form. In particular, this book solves the problem of the projection of fBm onto the space of Gaussian martingales that can be represented as Wiener integrals with respect to a Wiener process. It is proved that there exists a unique martingale closest to fBm in the uniform integral norm. Numerical results concerning the approximation problem are given. The upper bounds of distances from fBm to the different subspaces of Gaussian martingales are evaluated and the numerical calculations are involved. The approximations of fBm by a uniformly convergent series of Lebesgue integrals, semimartingales and absolutely continuous processes are presented. As auxiliary but interesting results, the bounds from below and from above for the coefficient appearing in the representation of fBm via the Wiener process are established and some new inequalities for Gamma functions, and even for trigonometric functions, are obtained.

Essentials of Brownian Motion and Diffusion

Author : Frank B. Knight
Publisher : American Mathematical Soc.
ISBN 13 : 0821815180
Total Pages : 220 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Essentials of Brownian Motion and Diffusion by : Frank B. Knight

Download or read book Essentials of Brownian Motion and Diffusion written by Frank B. Knight and published by American Mathematical Soc.. This book was released on 1981 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents some gratuitous generalities on scientific method as it relates to diffusion theory. This book defines Brownian motion by the characterization of P Levy, and then constructed in three basic ways and these are proved to be equivalent in the appropriate sense.

Brownian Motion

Author : T. Hida
Publisher : Springer Science & Business Media
ISBN 13 : 1461260302
Total Pages : 340 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Brownian Motion by : T. Hida

Download or read book Brownian Motion written by T. Hida and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the publication of the Japanese edition of this book, several inter esting developments took place in the area. The author wanted to describe some of these, as well as to offer suggestions concerning future problems which he hoped would stimulate readers working in this field. For these reasons, Chapter 8 was added. Apart from the additional chapter and a few minor changes made by the author, this translation closely follows the text of the original Japanese edition. We would like to thank Professor J. L. Doob for his helpful comments on the English edition. T. Hida T. P. Speed v Preface The physical phenomenon described by Robert Brown was the complex and erratic motion of grains of pollen suspended in a liquid. In the many years which have passed since this description, Brownian motion has become an object of study in pure as well as applied mathematics. Even now many of its important properties are being discovered, and doubtless new and useful aspects remain to be discovered. We are getting a more and more intimate understanding of Brownian motion.

Brownian Motion

Author : Robert M. Mazo
Publisher : Oxford University Press on Demand
ISBN 13 : 0198515677
Total Pages : 302 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Brownian Motion by : Robert M. Mazo

Download or read book Brownian Motion written by Robert M. Mazo and published by Oxford University Press on Demand. This book was released on 2002 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brownian motion- the incessant motion of small particles suspended in a fluid- is an important topic in statistical physics and physical chemistry. This book studies its origin in molecular scale fluctuations, its description in terms of random process theory and also in terms of statistical mechanics. - ;Brownian motion - the incessant motion of small particles suspended in a fluid - is an important topic in statistical physics and physical chemistry. This book studies its origin in molecular scale fluctuations, its description in terms of random process theory and also in terms of statistica.

Stochastic Methods

Author : Crispin Gardiner
Publisher : Springer
ISBN 13 : 9783642089626
Total Pages : 0 pages
Book Rating : 4.0/5 (896 download)

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Book Synopsis Stochastic Methods by : Crispin Gardiner

Download or read book Stochastic Methods written by Crispin Gardiner and published by Springer. This book was released on 2010-10-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the third edition of this classic the chapter on quantum Marcov processes has been replaced by a chapter on numerical treatment of stochastic differential equations to make the book even more valuable for practitioners.

Brownian motion and diffusion

Author : David Freedman
Publisher :
ISBN 13 :
Total Pages : 231 pages
Book Rating : 4.:/5 (122 download)

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Book Synopsis Brownian motion and diffusion by : David Freedman

Download or read book Brownian motion and diffusion written by David Freedman and published by . This book was released on 1983 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Stochastic Differential Equations

Author : Simo Särkkä
Publisher : Cambridge University Press
ISBN 13 : 1316510085
Total Pages : 327 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Applied Stochastic Differential Equations by : Simo Särkkä

Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Brownian Motion and Stochastic Calculus

Author : Ioannis Karatzas
Publisher :
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.:/5 (797 download)

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Book Synopsis Brownian Motion and Stochastic Calculus by : Ioannis Karatzas

Download or read book Brownian Motion and Stochastic Calculus written by Ioannis Karatzas and published by . This book was released on 1991 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Brownian Motion

Author : René L. Schilling
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110307308
Total Pages : 424 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Brownian Motion by : René L. Schilling

Download or read book Brownian Motion written by René L. Schilling and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-06-18 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brownian motion is one of the most important stochastic processes in continuous time and with continuous state space. Within the realm of stochastic processes, Brownian motion is at the intersection of Gaussian processes, martingales, Markov processes, diffusions and random fractals, and it has influenced the study of these topics. Its central position within mathematics is matched by numerous applications in science, engineering and mathematical finance. Often textbooks on probability theory cover, if at all, Brownian motion only briefly. On the other hand, there is a considerable gap to more specialized texts on Brownian motion which is not so easy to overcome for the novice. The authors’ aim was to write a book which can be used as an introduction to Brownian motion and stochastic calculus, and as a first course in continuous-time and continuous-state Markov processes. They also wanted to have a text which would be both a readily accessible mathematical back-up for contemporary applications (such as mathematical finance) and a foundation to get easy access to advanced monographs. This textbook, tailored to the needs of graduate and advanced undergraduate students, covers Brownian motion, starting from its elementary properties, certain distributional aspects, path properties, and leading to stochastic calculus based on Brownian motion. It also includes numerical recipes for the simulation of Brownian motion.

Introduction to Stochastic Calculus with Applications

Author : Fima C. Klebaner
Publisher : Imperial College Press
ISBN 13 : 1860945554
Total Pages : 431 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Introduction to Stochastic Calculus with Applications by : Fima C. Klebaner

Download or read book Introduction to Stochastic Calculus with Applications written by Fima C. Klebaner and published by Imperial College Press. This book was released on 2005 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and engineering.Self-contained and unified in presentation, the book contains many solved examples and exercises. It may be used as a textbook by advanced undergraduates and graduate students in stochastic calculus and financial mathematics. It is also suitable for practitioners who wish to gain an understanding or working knowledge of the subject. For mathematicians, this book could be a first text on stochastic calculus; it is good companion to more advanced texts by a way of examples and exercises. For people from other fields, it provides a way to gain a working knowledge of stochastic calculus. It shows all readers the applications of stochastic calculus methods and takes readers to the technical level required in research and sophisticated modelling.This second edition contains a new chapter on bonds, interest rates and their options. New materials include more worked out examples in all chapters, best estimators, more results on change of time, change of measure, random measures, new results on exotic options, FX options, stochastic and implied volatility, models of the age-dependent branching process and the stochastic Lotka-Volterra model in biology, non-linear filtering in engineering and five new figures.Instructors can obtain slides of the text from the author.

Handbook of Market Risk

Author : Christian Szylar
Publisher : John Wiley & Sons
ISBN 13 : 111857298X
Total Pages : 432 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Handbook of Market Risk by : Christian Szylar

Download or read book Handbook of Market Risk written by Christian Szylar and published by John Wiley & Sons. This book was released on 2013-10-16 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A ONE-STOP GUIDE FOR THE THEORIES, APPLICATIONS, AND STATISTICAL METHODOLOGIES OF MARKET RISK Understanding and investigating the impacts of market risk on the financial landscape is crucial in preventing crises. Written by a hedge fund specialist, the Handbook of Market Risk is the comprehensive guide to the subject of market risk. Featuring a format that is accessible and convenient, the handbook employs numerous examples to underscore the application of the material in a real-world setting. The book starts by introducing the various methods to measure market risk while continuing to emphasize stress testing, liquidity, and interest rate implications. Covering topics intrinsic to understanding and applying market risk, the handbook features: An introduction to financial markets The historical perspective from market events and diverse mathematics to the value-at-risk Return and volatility estimates Diversification, portfolio risk, and efficient frontier The Capital Asset Pricing Model and the Arbitrage Pricing Theory The use of a fundamental multi-factors model Financial derivatives instruments Fixed income and interest rate risk Liquidity risk Alternative investments Stress testing and back testing Banks and Basel II/III The Handbook of Market Risk is a must-have resource for financial engineers, quantitative analysts, regulators, risk managers in investments banks, and large-scale consultancy groups advising banks on internal systems. The handbook is also an excellent text for academics teaching postgraduate courses on financial methodology.

Handbook of Percentage Points of the Inverse Gaussian Distributions

Author : James A. Koziol
Publisher : CRC Press
ISBN 13 : 1351088068
Total Pages : 333 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Handbook of Percentage Points of the Inverse Gaussian Distributions by : James A. Koziol

Download or read book Handbook of Percentage Points of the Inverse Gaussian Distributions written by James A. Koziol and published by CRC Press. This book was released on 2018-01-18 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this handbook is to provide comprehensive tables of percentage points of the inverse Gaussian distribution. There is no other publication available today which condenses these tables - to such extent-in a concise, straightforward manner. The inverse Gaussian distribution is not only important for determining boundary crossing probabilities of Brownian Motion, which probabilities determine the operating characteristics of many sequential sampling procedures in statistics. It is also used in quality control procedures. This one-of-a-kind work includes a brief introductory section which outlines the inverse Gaussian distribution and explains the tables. The tables are produced in a fine grid of cumulative probabilities, and uses the closed form expression for the cumulative distribution function. This easy-to-use table reference also includes an excellent discussion of searching ordered tables. This handbook is a helpful, indispensable guide for all who are involved with statistics, mathematics, and computers. Mechanical engineers and physicists will find it useful also.