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Stochastic Processes, Ole E Barndorff-Nielsen; Kiyosi Ito; Ken-iti Sato


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Автор: Ole E Barndorff-Nielsen; Kiyosi Ito; Ken-iti Sato
Название:  Stochastic Processes
ISBN: 9783642058059
Издательство: Springer
Классификация:
ISBN-10: 3642058051
Обложка/Формат: Paperback
Страницы: 236
Вес: 0.35 кг.
Дата издания: 30.11.2010
Язык: English
Издание: Softcover reprint of
Иллюстрации: Black & white illustrations
Размер: 234 x 156 x 13
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: Lectures given at Aarhus University
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The volume Stochastic Processes by K. Ito was published as No. 16 of Lecture Notes Series from Mathematics Institute, Aarhus University in August, 1969, based on Lectures given at that Institute during the academie year 1968- 1969. The volume was as thick as 3.5 cm., mimeographed from typewritten manuscript and has been out of print for many years. Since its appearance, it has served, for those abIe to obtain one of the relatively few copies available, as a highly readable introduetion to basic parts of the theories of additive processes (processes with independent increments) and of Markov processes. It contains, in particular, a clear and detailed exposition of the Levy-It o decomposition of additive processes. Encouraged by Professor It o we have edited the volume in the present book form, amending the text in a number of places and attaching many footnotes. We have also prepared an index. Chapter 0 is for preliminaries. Here centralized sums of independent ran- dom variables are treated using the dispersion as a main tooI. Levys form of characteristic functions of infinitely divisible distributions and basic proper- ties of martingales are given. Chapter 1 is analysis of additive processes. A fundamental structure the- orem describes the decomposition of sample functions of additive processes, known today as the Levy-Ito decomposition. This is thoroughly treated, as- suming no continuity property in time, in a form close to the original 1942 paper of Ito, which gave rigorous expression to Levys intuitive understanding of path behavior.

Stochastic Processes

Автор: Gallager
Название: Stochastic Processes
ISBN: 1107039754 ISBN-13(EAN): 9781107039759
Издательство: Cambridge Academ
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Цена: 74970.00 T
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Описание: This definitive textbook provides a solid introduction to stochastic processes, covering both theory and applications. It is written by one of the world`s leading information theorists, evolving over twenty years of graduate classroom teaching, and is accompanied by over 300 exercises, with online solutions for instructors.

Theory of Probability and Random Processes

Автор: Koralov
Название: Theory of Probability and Random Processes
ISBN: 3540254846 ISBN-13(EAN): 9783540254843
Издательство: Springer
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Цена: 55890.00 T
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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.

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.

Limit Theorems for Stochastic Processes

Автор: Jacod Jean, Shiryaev Albert N.
Название: Limit Theorems for Stochastic Processes
ISBN: 3540439323 ISBN-13(EAN): 9783540439325
Издательство: Springer
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Цена: 121110.00 T
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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.

Markov Decision Processes: Discrete Stochastic Dynamic Programming

Автор: Martin L. Puterman
Название: Markov Decision Processes: Discrete Stochastic Dynamic Programming
ISBN: 0471727822 ISBN-13(EAN): 9780471727828
Издательство: Wiley
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Цена: 137230.00 T
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Описание: This book is an up-to-date, unified and rigorous treatment of theoretical, computational and applied research on Markov decision process models. The concentration of the book is on infinite-horizon discrete-time models, and it also discusses arbitrary state spaces, finite-horizon and continuous-time discrete-state models.


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