{"product_id":"optional-processes-mohamed-abdelghani-9780367508517","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.\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003e\u003cem\u003eOptional Processes: Theory and Applications \u003c\/em\u003e\u003c\/strong\u003eseeks 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.\u003c\/p\u003e \u003cp\u003eThis 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.\u003c\/p\u003e\u003cb\u003e \u003c\/b\u003e\u003cp\u003eFeatures\u003c\/p\u003e \u003cul\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eSuitable for graduate students and researchers in mathematical finance, actuarial science, applied mathematics and related areas\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e\n\u003c\/ul\u003e \u003cul\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eCompiles almost all essential results on the calculus of optional processes in unusual probability spaces \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eContains many advanced analytical results for stochastic differential equations and statistics pertaining to the calculus of optional processes \u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\n\u003cli\u003eDevelops new methods in finance based on optional processes such as a new portfolio theory, defaultable claim pricing mechanism, etc. \u003c\/li\u003e \u003cp\u003e \u003c\/p\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Mohamed Abdelghani, Alexander Melnikov\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0367508516\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780367508517\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/29\/2022\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 392\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.49lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.25h x 7.50w x 0.81d","brand":"Mohamed Abdelghani","offers":[{"title":"Paperback","offer_id":44055743987967,"sku":"9780367508517","price":59.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5ee395c5-5a45-4be9-bf0a-01b60d405a6d.jpg?v=1685037540","url":"https:\/\/www.whiterainbookhouse.com\/products\/optional-processes-mohamed-abdelghani-9780367508517","provider":"WR Book House","version":"1.0","type":"link"}