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Optional Processes

Theory and Applications

Mohamed Abdelghani, Alexander Melnikov
Livre broché | Anglais | Chapman and Hall/CRC Financial Mathematics
91,95 €
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Description

It 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.

    Spécifications

    Parties prenantes

    Auteur(s) :
    Editeur:

    Contenu

    Nombre de pages :
    392
    Langue:
    Anglais
    Collection :

    Caractéristiques

    EAN:
    9780367508517
    Date de parution :
    29-04-22
    Format:
    Livre broché
    Format numérique:
    Trade paperback (VS)
    Dimensions :
    190 mm x 235 mm
    Poids :
    675 g

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