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Change of Time and Change of Measure

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Product Code: 9789814678582
ISBN13: 9789814678582
Condition: New
$74.08
Change of Time and Change of Measure provides a comprehensive account of two topics that are of particular significance in both theoretical and applied stochastics: random change of time and change of probability law. Random change of time is key to understanding the nature of various stochastic processes, and gives rise to interesting mathematical results and insights of importance for the modeling and interpretation of empirically observed dynamic processes. Change of probability law is a technique for solving central questions in mathematical finance, and also has a considerable role in insurance mathematics, large deviation theory, and other fields. The book comprehensively collects and integrates results from a number of scattered sources in the literature and discusses the importance of the results relative to the existing literature, particularly with regard to mathematical finance. In this Second Edition a Chapter 13 entitled 'A Wider View' has been added. This outlines some of the developments that have taken place in the area of Change of Time and Change of Measure since the publication of the First Edition. Most of these developments have their root in the study of the Statistical Theory of Turbulence rather than in Financial Mathematics and Econometrics, and they form part of the new research area termed 'Ambit Stochastics'.


Author: Ole E. Barndorff-Nielsen, Albert Nikolaevich Shiriaev, Al'bert Nikolaevich Shiri?a?ev
Publisher: Advanced Series on Statistical Science & Applied Probability
Publication Date: Jun 26, 2015
Number of Pages: 326 pages
Language: English
Binding: Hardcover
ISBN-10: 9814678589
ISBN-13: 9789814678582

Change of Time and Change of Measure

$74.08
 
Change of Time and Change of Measure provides a comprehensive account of two topics that are of particular significance in both theoretical and applied stochastics: random change of time and change of probability law. Random change of time is key to understanding the nature of various stochastic processes, and gives rise to interesting mathematical results and insights of importance for the modeling and interpretation of empirically observed dynamic processes. Change of probability law is a technique for solving central questions in mathematical finance, and also has a considerable role in insurance mathematics, large deviation theory, and other fields. The book comprehensively collects and integrates results from a number of scattered sources in the literature and discusses the importance of the results relative to the existing literature, particularly with regard to mathematical finance. In this Second Edition a Chapter 13 entitled 'A Wider View' has been added. This outlines some of the developments that have taken place in the area of Change of Time and Change of Measure since the publication of the First Edition. Most of these developments have their root in the study of the Statistical Theory of Turbulence rather than in Financial Mathematics and Econometrics, and they form part of the new research area termed 'Ambit Stochastics'.


Author: Ole E. Barndorff-Nielsen, Albert Nikolaevich Shiriaev, Al'bert Nikolaevich Shiri?a?ev
Publisher: Advanced Series on Statistical Science & Applied Probability
Publication Date: Jun 26, 2015
Number of Pages: 326 pages
Language: English
Binding: Hardcover
ISBN-10: 9814678589
ISBN-13: 9789814678582
 

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