Stochastic Calculus for Fractional Brownian Motion and Related Processes

1. Auflage 2007
ISBN: 978-3-540-75872-3
Verlag: Springer

Buch, Englisch, Band 1929, 398 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 640 g

Reihe: Lecture Notes in Mathematics

This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. It proves that the market with stock guided by the mixed model is arbitrage-free without any restriction on the dependence of the components and deduces different forms of the Black-Scholes equation for fractional market.

Zielgruppe

Research

Autoren/Hrsg.

Mishura, Yuliya

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

Wiener Integration with Respect to Fractional Brownian Motion.- Stochastic Integration with Respect to fBm and Related Topics.- Stochastic Differential Equations Involving Fractional Brownian Motion.- Filtering in Systems with Fractional Brownian Noise.- Financial Applications of Fractional Brownian Motion.- Statistical Inference with Fractional Brownian Motion.