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Continuous Strong Markov Processes in Dimension One : A Stochastic Calculus Approach / by Sigurd Assing, Wolfgang M. Schmidt
(Lecture Notes in Mathematics. ISSN:16179692 ; 1688)

1st ed. 1998.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1998
本文言語 英語
大きさ XII, 140 p : online resource
冊子体 Continuous strong Markov processes in dimension one : a stochastic calculus approach / Sigurd Assing, Wolfgang M. Schmidt. ; 1688
著者標目 *Assing, Sigurd author
Schmidt, Wolfgang M author
SpringerLink (Online service)
件 名 LCSH:Probabilities
LCSH:Statistics 
FREE:Probability Theory
FREE:Statistical Theory and Methods
一般注記 Basic concepts and preparatory results -- Classification of the points of the state space -- Weakly additive functionals and time change of strong Markov processes -- Semimartingale decomposition of continuous strong Markov semimartingales -- Occupation time formula -- Construction of continuous strong Markov processes -- Continuous strong Markov semimartingales as solutions of stochastic differential equations
The book presents an in-depth study of arbitrary one-dimensional continuous strong Markov processes using methods of stochastic calculus. Departing from the classical approaches, a unified investigation of regular as well as arbitrary non-regular diffusions is provided. A general construction method for such processes, based on a generalization of the concept of a perfect additive functional, is developed. The intrinsic decomposition of a continuous strong Markov semimartingale is discovered. The book also investigates relations to stochastic differential equations and fundamental examples of irregular diffusions
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Springer eBooks 9783540697862
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分 類 LCC:QA273.A1-274.9
DC23:519.2
書誌ID 4000109649
ISBN 9783540697862

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