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Author : John Hoskins
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (93 download)
Download or read book Malliavin Calculus for Functionals of Pure Jump Levy Processes written by John Hoskins and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yasushi Ishikawa
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110378078
Total Pages : 290 pages
Book Rating : 4.1/5 (13 download)
Download or read book Stochastic Calculus of Variations written by Yasushi Ishikawa and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-03-07 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a concise introduction to the stochastic calculus of variations (also known as Malliavin calculus) for processes with jumps. It is written for researchers and graduate students who are interested in Malliavin calculus for jump processes. In this book "processes with jumps" includes both pure jump processes and jump-diffusions. The author provides many results on this topic in a self-contained way; this also applies to stochastic differential equations (SDEs) "with jumps". The book also contains some applications of the stochastic calculus for processes with jumps to the control theory and mathematical finance. Namely, asymptotic expansions functionals related with financial assets of jump-diffusion are provided based on the theory of asymptotic expansion on the Wiener–Poisson space. Solving the Hamilton–Jacobi–Bellman (HJB) equation of integro-differential type is related with solving the classical Merton problem and the Ramsey theory. The field of jump processes is nowadays quite wide-ranging, from the Lévy processes to SDEs with jumps. Recent developments in stochastic analysis have enabled us to express various results in a compact form. Up to now, these topics were rarely discussed in a monograph. Contents: Preface Preface to the second edition Introduction Lévy processes and Itô calculus Perturbations and properties of the probability law Analysis of Wiener–Poisson functionals Applications Appendix Bibliography List of symbols Index
Author : Giulia Di Nunno
Publisher : Springer Science & Business Media
ISBN 13 : 3540785728
Total Pages : 421 pages
Book Rating : 4.5/5 (47 download)
Download or read book Malliavin Calculus for Lévy Processes with Applications to Finance written by Giulia Di Nunno and published by Springer Science & Business Media. This book was released on 2008-10-08 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to Malliavin calculus as a generalization of the classical non-anticipating Ito calculus to an anticipating setting. It presents the development of the theory and its use in new fields of application.
Author : Horst Osswald
Publisher :
ISBN 13 : 9781139230858
Total Pages : pages
Book Rating : 4.2/5 (38 download)
Download or read book Malliavin Calculus for Lévy Processes and Infinite-dimensional Brownian Motion written by Horst Osswald and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Assuming only basic knowledge of probability theory and functional analysis, this book provides a self-contained introduction to Malliavin calculus and infinite-dimensional Brownian motion. In an effort to demystify a subject thought to be difficult, it exploits the framework of nonstandard analysis, which allows infinite-dimensional problems to be treated as finite-dimensional. The result is an intuitive, indeed enjoyable, development of both Malliavin calculus and nonstandard analysis. The main aspects of stochastic analysis and Malliavin calculus are incorporated into this simplifying framework. Topics covered include Brownian motion, Ornstein-Uhlenbeck processes both with values in abstract Wiener spaces, Lévy processes, multiple stochastic integrals, chaos decomposition, Malliavin derivative, Clark-Ocone formula, Skorohod integral processes and Girsanov transformations. The careful exposition, which is neither too abstract nor too theoretical, makes this book accessible to graduate students, as well as to researchers interested in the techniques"--
Author : Klaus Bichteler
Publisher : Routledge
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.3/5 (91 download)
Download or read book Malliavin Calculus for Processes with Jumps written by Klaus Bichteler and published by Routledge. This book was released on 1987 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Horst Osswald
Publisher :
ISBN 13 : 9781139233842
Total Pages : 430 pages
Book Rating : 4.2/5 (338 download)
Download or read book Malliavin Calculus for Levy Processes and Infinite-Dimensional Brownian Motion written by Horst Osswald and published by . This book was released on 2014-05-14 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming only basic knowledge of probability theory and functional analysis, this book provides a self-contained introduction to Malliavin calculus and infinite-dimensional Brownian motion. In an effort to demystify a subject thought to be difficult, it exploits the framework of nonstandard analysis, which allows infinite-dimensional problems to be treated as finite-dimensional. The result is an intuitive, indeed enjoyable, development of both Malliavin calculus and nonstandard analysis. The main aspects of stochastic analysis and Malliavin calculus are incorporated into this simplifying framework. Topics covered include Brownian motion, Ornstein-Uhlenbeck processes both with values in abstract Wiener spaces, Levy processes, multiple stochastic integrals, chaos decomposition, Malliavin derivative, Clark-Ocone formula, Skorohod integral processes and Girsanov transformations. The careful exposition, which is neither too abstract nor too theoretical, makes this book accessible to graduate students, as well as to researchers interested in the techniques.
Author : Horst Osswald
Publisher : Cambridge University Press
ISBN 13 : 1107016142
Total Pages : 429 pages
Book Rating : 4.1/5 (7 download)
Download or read book Malliavin Calculus for Lévy Processes and Infinite-Dimensional Brownian Motion written by Horst Osswald and published by Cambridge University Press. This book was released on 2012-03 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: After functional, measure and stochastic analysis prerequisites, the author covers chaos decomposition, Skorohod integral processes, Malliavin derivative and Girsanov transformations.
Author : Giulia Di Nunno
Publisher :
ISBN 13 : 9781282631724
Total Pages : 413 pages
Book Rating : 4.6/5 (317 download)
Download or read book Malliavin Calculus for Lévy Processes with Applications to Finance written by Giulia Di Nunno and published by . This book was released on 2009 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the original works on Malliavin calculus aimed to study the smoothness of densities of solutions to stochastic differential equations, this book has another goal. It portrays the most important and innovative applications in stochastic control and finance, such as hedging in complete and incomplete markets, optimisation in the presence of asymmetric information and also pricing and sensitivity analysis. In a self-contained fashion, both the Malliavin calculus with respect to Brownian motion and general Lévy type of noise are treated. Besides, forward integration is included and indeed extended to general Lévy processes. The forward integration is a recent development within anticipative stochastic calculus that, together with the Malliavin calculus, provides new methods for the study of insider trading problems. To allow more flexibility in the treatment of the mathematical tools, the generalization of Malliavin calculus to the white noise framework is also discussed. This book is a valuable resource for graduate students, lecturers in stochastic analysis and applied researchers.
Author : David Nualart
Publisher : Cambridge University Press
ISBN 13 : 1107039126
Total Pages : 249 pages
Book Rating : 4.1/5 (7 download)
Download or read book Introduction to Malliavin Calculus written by David Nualart and published by Cambridge University Press. This book was released on 2018-09-27 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compact introduction to this active and powerful area of research, combining basic theory, core techniques, and recent applications.
Author : Fred Espen Benth
Publisher : Springer Science & Business Media
ISBN 13 : 3540708472
Total Pages : 672 pages
Book Rating : 4.5/5 (47 download)
Download or read book Stochastic Analysis and Applications written by Fred Espen Benth and published by Springer Science & Business Media. This book was released on 2007-04-24 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Abel Symposium 2005 was organized as a tribute to the work of Kiyosi Ito on the occasion of his 90th birthday. Distinguished researchers from all over presented the newest developments within the exciting and fast growing field of stochastic analysis. This volume combines both papers from the invited speakers and contributions by the presenting lecturers. In addition, it includes the Memoirs that Kiyoshi Ito wrote for this occasion.
Author : Vladimir Igorevich Bogachev
Publisher : American Mathematical Soc.
ISBN 13 : 082184993X
Total Pages : 506 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differentiable Measures and the Malliavin Calculus written by Vladimir Igorevich Bogachev and published by American Mathematical Soc.. This book was released on 2010-07-21 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with the principal concepts and results related to differential properties of measures on infinite dimensional spaces. In the finite dimensional case such properties are described in terms of densities of measures with respect to Lebesgue measure. In the infinite dimensional case new phenomena arise. For the first time a detailed account is given of the theory of differentiable measures, initiated by S. V. Fomin in the 1960s; since then the method has found many various important applications. Differentiable properties are described for diverse concrete classes of measures arising in applications, for example, Gaussian, convex, stable, Gibbsian, and for distributions of random processes. Sobolev classes for measures on finite and infinite dimensional spaces are discussed in detail. Finally, we present the main ideas and results of the Malliavin calculus--a powerful method to study smoothness properties of the distributions of nonlinear functionals on infinite dimensional spaces with measures. The target readership includes mathematicians and physicists whose research is related to measures on infinite dimensional spaces, distributions of random processes, and differential equations in infinite dimensional spaces. The book includes an extensive bibliography on the subject.
Author : David Nualart
Publisher : American Mathematical Soc.
ISBN 13 : 0821847791
Total Pages : 99 pages
Book Rating : 4.8/5 (218 download)
Download or read book Malliavin Calculus and Its Applications written by David Nualart and published by American Mathematical Soc.. This book was released on 2009 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Malliavin calculus was developed to provide a probabilistic proof of Hormander's hypoellipticity theorem. The theory has expanded to encompass other significant applications. The main application of the Malliavin calculus is to establish the regularity of the probability distribution of functionals of an underlying Gaussian process. In this way, one can prove the existence and smoothness of the density for solutions of various stochastic differential equations. More recently, applications of the Malliavin calculus in areas such as stochastic calculus for fractional Brownian motion, central limit theorems for multiple stochastic integrals, and mathematical finance have emerged. The first part of the book covers the basic results of the Malliavin calculus. The middle part establishes the existence and smoothness results that then lead to the proof of Hormander's hypoellipticity theorem. The last part discusses the recent developments for Brownian motion, central limit theorems, and mathematical finance.
Author : Paul Malliavin
Publisher : Springer Science & Business Media
ISBN 13 : 3540307990
Total Pages : 148 pages
Book Rating : 4.5/5 (43 download)
Download or read book Stochastic Calculus of Variations in Mathematical Finance written by Paul Malliavin and published by Springer Science & Business Media. This book was released on 2006-02-25 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly esteemed author Topics covered are relevant and timely
Author : Frederi Viens
Publisher : Springer Science & Business Media
ISBN 13 : 1461459060
Total Pages : 580 pages
Book Rating : 4.4/5 (614 download)
Download or read book Malliavin Calculus and Stochastic Analysis written by Frederi Viens and published by Springer Science & Business Media. This book was released on 2013-02-15 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stochastic calculus of variations of Paul Malliavin (1925 - 2010), known today as the Malliavin Calculus, has found many applications, within and beyond the core mathematical discipline. Stochastic analysis provides a fruitful interpretation of this calculus, particularly as described by David Nualart and the scores of mathematicians he influences and with whom he collaborates. Many of these, including leading stochastic analysts and junior researchers, presented their cutting-edge research at an international conference in honor of David Nualart's career, on March 19-21, 2011, at the University of Kansas, USA. These scholars and other top-level mathematicians have kindly contributed research articles for this refereed volume.
Author : Denis R. Bell
Publisher : Courier Corporation
ISBN 13 : 0486449947
Total Pages : 124 pages
Book Rating : 4.4/5 (864 download)
Download or read book The Malliavin Calculus written by Denis R. Bell and published by Courier Corporation. This book was released on 2006-04-07 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to Malliavin's stochastic calculus of variations emphasizes the problem that motivated the subject's development, with detailed accounts of the different forms of the theory developed by Stroock and Bismut, discussions of the relationship between these two approaches, and descriptions of a variety of applications. 1987 edition.
Author : Marta Sanz Solé
Publisher : EPFL Press
ISBN 13 : 9782940222063
Total Pages : 184 pages
Book Rating : 4.2/5 (22 download)
Download or read book Malliavin Calculus written by Marta Sanz Solé and published by EPFL Press. This book was released on 2005-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed in the 1970s to study the existence and smoothness of density for the probability laws of random vectors, Malliavin calculus--a stochastic calculus of variation on the Wiener space--has proven fruitful in many problems in probability theory, particularly in probabilistic numerical methods in financial mathematics. This book presents applications of Malliavin calculus to the analysis of probability laws of solutions to stochastic partial differential equations driven by Gaussian noises that are white in time and coloured in space. The first five chapters introduce the calculus itself b.
Author : Martin Peter Johansson
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (93 download)
Download or read book Malliavin Calculus for Levy Processes with Applications to Finance written by Martin Peter Johansson and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
