{"product_id":"optional-processes-theory-and-applications-9780429809248","title":"Optional Processes: Theory and Applications","description":"\u003cp\u003eIt is well-known that modern stochastic calculus has been exhaustively developed under usual conditions. Despite such a well-developed theory, there is evidence to suggest that these very convenient technical conditions cannot necessarily be fulfilled in real-world applications.Optional Processes: Theory and Applications seeks to delve into the existing theory, new developments and applications of optional processes on \"unusual\" probability spaces. The development of stochastic calculus of optional processes marks the beginning of a new and more general form of stochastic analysis.This book aims to provide an accessible, comprehensive and up-to-date exposition of optional processes and their numerous properties. Furthermore, the book presents not only current theory of optional processes, but it also contains a spectrum of applications to stochastic differential equations, filtering theory and mathematical finance.Features Suitable for graduate students and researchers in mathematical finance, actuarial science, applied mathematics and related areas Compiles almost all essential results on the calculus of optional processes in unusual probability spaces Contains many advanced analytical results for stochastic differential equations and statistics pertaining to the calculus of optional processes Develops new methods in finance based on optional processes such as a new portfolio theory, defaultable claim pricing mechanism, etc.\u003c\/p\u003e\u003ch3\u003eAbout the Author\u003c\/h3\u003e\u003cp\u003eMohamed Abdelghani completed his PhD in Mathematical Finance from the University of Alberta. He is currently working as a V.P. in quantitative finance and machine learning at Morgan Stanley, New York, USA.\u003c\/p\u003e\u003cp\u003eAlexander Melnikov is a Professor in Mathematical Finance at the University of Alberta, Edmonton, Canada. His research interests belong to the area of contemporary stochastic analysis and its numerous applications in Mathematical Finance, Statistics and Actuarial Science. He has written six books as well as over one hundred research papers in leading academic journals.\u003c\/p\u003e\u003ctable\u003e\u003ctbody\u003e\n\u003ctr\u003e\n\u003ctd\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e\u003c\/td\u003e\n\u003ctd\u003eMohamed Abdelghani, Alexander Melnikov\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e\u003c\/td\u003e\n\u003ctd\u003e9780429809248\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e\u003c\/td\u003e\n\u003ctd\u003eCRC Press\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003e\u003cstrong\u003ePublication Date\u003c\/strong\u003e\u003c\/td\u003e\n\u003ctd\u003e06\/02\/2020\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003e\u003cstrong\u003eSeries\u003c\/strong\u003e\u003c\/td\u003e\n\u003ctd\u003eChapman and Hall\/CRC Financial Mathematics Series\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003e\u003cstrong\u003ePage Count\u003c\/strong\u003e\u003c\/td\u003e\n\u003ctd\u003e392 pages\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/tbody\u003e\u003c\/table\u003e","brand":"CRC Press","offers":[{"title":"book","offer_id":50585633816738,"sku":"9780429809248","price":49.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0732\/7059\/1650\/files\/9780429809248_p0.jpg?v=1791463810","url":"https:\/\/styleando.com\/products\/optional-processes-theory-and-applications-9780429809248","provider":"styleando","version":"1.0","type":"link"}