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Stochastic Calculus of Variations for Jump Processes, Yasushi Ishikawa


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Цена: 123910.00T
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Автор: Yasushi Ishikawa
Название:  Stochastic Calculus of Variations for Jump Processes
ISBN: 9783110281804
Издательство: Walter de Gruyter
Классификация:

ISBN-10: 3110281805
Обложка/Формат: Hardback
Страницы: 274
Вес: 0.64 кг.
Дата издания: 21.05.2013
Серия: Mathematics
Язык: English
Читательская аудитория: Professional and scholarly
Ключевые слова: Probability & statistics,Applied mathematics, MATHEMATICS / Applied,MATHEMATICS / Probability & Statistics / General,MATHEMATICS / Research
Поставляется из: Германии
Описание: 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 Levy 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.

Stochastic Calculus for Finance II

Автор: Shreve, Steven E.
Название: Stochastic Calculus for Finance II
ISBN: 0387401016 ISBN-13(EAN): 9780387401010
Издательство: Springer
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Цена: 55890.00 T
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Описание: "A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions.

Stochastic Calculus for Finance I

Автор: Shreve
Название: Stochastic Calculus for Finance I
ISBN: 0387401008 ISBN-13(EAN): 9780387401003
Издательство: Springer
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Цена: 55890.00 T
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Описание: Developed for the professional Master`s program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several yearsExercises conclude every chapter;

Stochastic processes

Автор: Doob J.l.
Название: Stochastic processes
ISBN: 0471523690 ISBN-13(EAN): 9780471523697
Издательство: Wiley
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Цена: 129320.00 T
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Описание: A systematic account of the development of stochastic processes over the last 20 years. A supplement contained within the text includes a treatment of the various aspects of measure theory. There is also a chapter on the specialized problem of prediction theory.

A Second Course in Stochastic Processes,

Автор: Samuel Karlin
Название: A Second Course in Stochastic Processes,
ISBN: 0123986508 ISBN-13(EAN): 9780123986504
Издательство: Elsevier Science
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Цена: 106660.00 T
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Описание: China`s new initiative of One Belt One Road (OBOR) is attracting global attention for its grand scale of potentially connecting Asia, Africa, Europe (and South America) through the much needed infrastructure projects. This volume explores the major ideas, initiatives, programmes and components of the OBOR, and examines the responses and perceptions of various countries to the OBOR initiative.

Elementary Probability Theory / With Stochastic Processes and an Introduction to Mathematical Finance

Автор: Chung K. L., AitSahlia Farid
Название: Elementary Probability Theory / With Stochastic Processes and an Introduction to Mathematical Finance
ISBN: 038795578X ISBN-13(EAN): 9780387955780
Издательство: Springer
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Цена: 69870.00 T
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Описание: Provides an introduction to probability theory and its applications.

Brownian Motion: An Introduction to Stochastic Processes

Автор: Rene L. Schilling, Lothar Partzsch
Название: Brownian Motion: An Introduction to Stochastic Processes
ISBN: 3110307294 ISBN-13(EAN): 9783110307290
Издательство: Walter de Gruyter
Цена: 42450.00 T
Наличие на складе: Нет в наличии.
Описание: 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.

Stochastic Calculus and Differential Equations for Physics and Finance

Автор: Joseph L. McCauley
Название: Stochastic Calculus and Differential Equations for Physics and Finance
ISBN: 0521763401 ISBN-13(EAN): 9780521763400
Издательство: Cambridge Academ
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Цена: 132000.00 T
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Описание: Stochastic calculus provides a powerful description of a specific class of stochastic processes in physics and finance. However, many econophysicists struggle to understand it. This book presents the subject simply and systematically, giving graduate students and practitioners a better understanding and enabling them to apply the methods in practice.

Stochastic Processes; From Physics to Finance

Автор: Wolfgang Paul; J?rg Baschnagel
Название: Stochastic Processes; From Physics to Finance
ISBN: 3319003267 ISBN-13(EAN): 9783319003269
Издательство: Springer
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Цена: 104480.00 T
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Описание: This book introduces the theory of stochastic processes with applications taken from physics and finance. It includes a discussion of extreme events, ranging from their mathematical definition to their importance for financial crashes.

Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

Автор: Thomas M. Liggett
Название: Stochastic Interacting Systems: Contact, Voter and Exclusion Processes
ISBN: 3642085296 ISBN-13(EAN): 9783642085291
Издательство: Springer
Рейтинг:
Цена: 88500.00 T
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Описание: Interactive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T. Liggett, Interacting Particle System, ISBN 3-540-96069) that treated the subject as it was at that time. The present book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. In so doing, many of the most useful techniques in the field are explained and developed, so that they can be applied to other models and in other contexts. Extensive Notes and References sections discuss other work on these and related models. Readers are expected to be familiar with analysis and probability at the graduate level, but it is not assumed that they have mastered the material in the 1985 book. This book is intended for graduate students and researchers in Probability Theory, and in related areas of Mathematics, Biology and Physics.

Elementary Stochastic Calculus, with Finance in View

Автор: Mikosch, Thomas
Название: Elementary Stochastic Calculus, with Finance in View
ISBN: 9810235437 ISBN-13(EAN): 9789810235437
Издательство: World Scientific Publishing
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Цена: 50690.00 T
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Описание: An elementary introduction to modelling with Ito integral or stochastic differential equations, without burdening the reader with a great deal of measure theory. Applications are taken from stochastic finance. In particular, the Black-Scholes option pricing formula is derived.

Elements of stochastic calculus and analysis

Автор: Stroock, Daniel W.
Название: Elements of stochastic calculus and analysis
ISBN: 3319770373 ISBN-13(EAN): 9783319770376
Издательство: Springer
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Цена: 53100.00 T
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Описание: This book gives a somewhat unconventional introduction to stochastic analysis.

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: 46540.00 T
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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.


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