Описание: Provides an introduction to probability theory and its applications.
Автор: N.G. Van Kampen Название: Stochastic Processes in Physics and Chemistry, ISBN: 0444529659 ISBN-13(EAN): 9780444529657 Издательство: Elsevier Science Рейтинг: Цена: 9350 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The third edition of Van Kampen's standard work has been revised and updated. The main difference with the second edition is that the contrived application of the quantum master equation in section 6 of chapter XVII has been replaced with a satisfactory treatment of quantum fluctuations. Apart from that throughout the text corrections have been made and a number of references to later developments have been included. From the recent textbooks the following are the most relevant.C.W.Gardiner, Quantum Optics (Springer, Berlin 1991)D.T. Gillespie, Markov Processes (Academic Press, San Diego 1992)W.T. Coffey, Yu.P.Kalmykov, and J.T.Waldron, The Langevin Equation (2nd edition, World Scientific, 2004)
Автор: Jacod Jean, Shiryaev Albert N. Название: Limit Theorems for Stochastic Processes ISBN: 3540439323 ISBN-13(EAN): 9783540439325 Издательство: Springer Рейтинг: Цена: 11219 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied. The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for mathematical theory and mathematical statistics. This leads them to develop in detail some particularly useful parts of the general theory of stochastic processes, such as martingale problems, and absolute continuity or contiguity results. The book contains an introduction to the theory of martingales and semimartingales, random measures stochastic integrales, Skorokhod topology, etc., as well as a large number of results which have never appeared in book form, and some entirely new results. The second edition contains some additions to the text and references. Some parts are completely rewritten.
Автор: Gallager Название: Stochastic Processes ISBN: 1107039754 ISBN-13(EAN): 9781107039759 Издательство: Cambridge Academ Рейтинг: Цена: 6244 р. Наличие на складе: Есть (1 шт.) Описание: This definitive textbook provides a solid introduction to discrete and continuous stochastic processes, tackling a complex field in a way that instils a deep understanding of the relevant mathematical principles, and develops an intuitive grasp of the way these principles can be applied to modelling real-world systems. It includes a careful review of elementary probability and detailed coverage of Poisson, Gaussian and Markov processes with richly varied queuing applications. The theory and applications of inference, hypothesis testing, estimation, random walks, large deviations, martingales and investments are developed. Written by one of the world's leading information theorists, evolving over twenty years of graduate classroom teaching and enriched by over 300 exercises, this is an exceptional resource for anyone looking to develop their understanding of stochastic processes.
Автор: Parzen, Emanuel Название: Stochastic processes ISBN: 0898714419 ISBN-13(EAN): 9780898714418 Издательство: Eurospan Рейтинг: Цена: 7382 р. Наличие на складе: Нет в наличии.
Описание: This introductory textbook explains how and why probability models are applied to scientific fields such as medicine, biology, physics, oceanography, economics, and psychology to solve problems about stochastic processes. It does not just show how a problem is solved but explains why by formulating questions and first steps in the solutions.
Автор: Cont, Tankov Название: Financial modelling with jump processes ISBN: 1584884134 ISBN-13(EAN): 9781584884132 Издательство: Taylor&Francis Рейтинг: Цена: 9404 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents an overview of the theoretical, numerical, and empirical aspects of using jump processes in financial modeling. This book demonstrates that the concepts and tools necessary for understanding and implementing models with jumps can be more intuitive that those involved in the Black Scholes and diffusion models.
Автор: Koralov Название: Theory of Probability and Random Processes ISBN: 3540254846 ISBN-13(EAN): 9783540254843 Издательство: Springer Рейтинг: Цена: 5142 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of the content of this bookIt is structured in two parts: the first part providing a detailed discussion of Lebesgue integration, Markov chains, random walks, laws of large numbers, limit theorems, and their relation to Renormalization Group theory. The second part includes the theory of stationary random processes, martingales, generalized random processes, Brownian motion, stochastic integrals, and stochastic differential equations. One section is devoted to the theory of Gibbs random fields.This material is essential to many undergraduate and graduate courses. The book can also serve as a reference for scientists using modern probability theory in their research.
Автор: Applebaum, David Название: Levy processes and stochastic calculus ISBN: 0521738652 ISBN-13(EAN): 9780521738651 Издательство: Cambridge Academ Рейтинг: Цена: 7285 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: L?vy processes form a wide and rich class of random process, and have many applications ranging from physics to finance. Stochastic calculus is the mathematics of systems interacting with random noise. Here, the author ties these two subjects together, beginning with an introduction to the general theory of L?vy processes, then leading on to develop the stochastic calculus for L?vy processes in a direct and accessible way. This fully revised edition now features a number of new topics. These include: regular variation and subexponential distributions; necessary and sufficient conditions for L?vy processes to have finite moments; characterisation of L?vy processes with finite variation; Kunita's estimates for moments of L?vy type stochastic integrals; new proofs of Ito representation and martingale representation theorems for general L?vy processes; multiple Wiener-L?vy integrals and chaos decomposition; an introduction to Malliavin calculus; an introduction to stability theory for L?vy-driven SDEs.
Автор: Lefebvre Mario Название: Applied Stochastic Processes ISBN: 0387341714 ISBN-13(EAN): 9780387341712 Издательство: Springer Рейтинг: Цена: 7012 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Applied Stochastic Processes uses a distinctly applied framework to present the most important topics in the field of stochastic processes.Key features:-Presents carefully chosen topics such as Gaussian and Markovian processes, Markov chains, Poisson processes, Brownian motion, and queueing theory-Examines in detail special diffusion processes, with implications for finance, various generalizations of Poisson processes, and renewal processes-Serves graduate students in a variety of disciplines such as applied mathematics, operations research, engineering, finance, and business administration-Contains numerous examples and approximately 350 advanced problems, reinforcing both concepts and applications-Includes entertaining mini-biographies of mathematicians, giving an enriching historical context-Covers basic results in probabilityTwo appendices with statistical tables and solutions to the even-numbered problems are included at the end. This textbook is for graduate students in applied mathematics, operations research, and engineering. Pure mathematics students interested in the applications of probability and stochastic processes and students in business administration will also find this book useful.
Описание: The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes, in particular the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes. The course is a summary and review of the author's research over the last ten years, much of it joint work with coauthors David Aldous, Jean Bertoin, Steven Evans, and Marc Yor.
Автор: Gikhman Iosif I., Skorokhod Anatoli V., Kotz S. Название: The Theory of Stochastic Processes III ISBN: 3540499407 ISBN-13(EAN): 9783540499404 Издательство: Springer Рейтинг: Цена: 4674 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the Reviews: "Gihman and Skorohod have done an excellent job of presenting the theory in its present state of rich imperfection."D.W. Stroock in Bulletin of the American Mathematical Society, 1980"To call this work encyclopedic would not give an accurate picture of its content and style. Some parts read like a textbook, but others are more technical and contain relatively new results. ... The exposition is robust and explicit, as one has come to expect of the Russian tradition of mathematical writing. The set when completed will be an invaluable source of information and reference in this ever-expanding field."K.L. Chung in American Scientist, 1977"The dominant impression is of the authors' mastery of their material, and of their confident insight into its underlying structure."J.F.C. Kingman in Bulletin of the London Mathematical Society, 1977
Описание: Many observed phenomena, from the changing health of a patient to values on the stock market, are characterised by quantities that vary over time:
stochastic processes are designed to study them. Much theoretical work has been done but virtually no modern books are available to show how the results can be applied. This book
fills that gap by introducing practical methods of applying stochastic processes to an audience knowledgeable only in basic statistics.
It covers almost all aspects of the
subject and presents the theory in an easily accessible form that is highlighted by application to many examples. These examples arise from dozens of areas, from sociology through
medicine to engineering. Complementing these are exercise sets making the book suited for introductory courses in stochastic processes.
Software (available from
www.cambridge.org) is provided for the freely available R system for the reader to apply to all the models presented.
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