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Bibliographische Detailangaben
Titel:Optional processes
theory and applications
Von: Mohamed Abdelghani: Morgan Stanley, New York, USA ; Alexander Melnikov: University of Alberta
Person: Abdelghani, Mohamed
aut
Melʹnikov, Aleksandr V.
1953-
Hauptverfassende: Abdelghani, Mohamed (VerfasserIn), Melʹnikov, Aleksandr V. 1953- (VerfasserIn)
Format: Buch
Sprache:Englisch
Veröffentlicht: Boca Raton ; London ; New York CRC Press, Taylor & Francis Group [2020]
Ausgabe:First edition
Schriftenreihe:Chapman & Hall/CRC Financial Mathematics Series
A Chapman & Hall book
Notation:SK 820
Schlagwörter:
Abstract:"It is well-known that modern stochastic calculus has been exhaustively developed under standard 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 is a book that 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"--
Beschreibung:Literaturverzeichnis: Seite 367-376
Umfang:xiii, 378 Seiten
ISBN:9781138337268