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Stochastic Calculus for Fractional Brownian Motion and Applications

Francesca Biagini, Yaozhong Hu, Bernt Øksendal, Tusheng Zhang
Fractional Brownian motion (fBm) has been widely used to model a number of phenomena in diverse fields from biology to finance. This huge range of potential applications makes fBm an interesting object of study. Several approaches have been used to develop the concept of stochastic calculus for fBm. The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory. Particular emphasis is placed on studying the relations between the different approaches. Readers are assumed to be familiar with probability theory and stochastic analysis, although the mathematical techniques used in the book are thoroughly exposed and some of the necessary prerequisites, such as classical white noise theory and fractional calculus, are recalled in the appendices. This book will be a valuable reference for graduate students and researchers in mathematics, biology, meteorology, physics, engineering and finance.
Autor: Biagini, Francesca Hu, Yaozhong Øksendal, Bernt Zhang, Tusheng
EAN: 9781852339968
Sprache: Englisch
Seitenzahl: 330
Produktart: Gebunden
Verlag: Springer Springer, Berlin Springer London
Schlagworte: Brownscher Bewegungsprozess Stochastik
Größe: 243 × 162 × 24
Gewicht: 620 g