Statistical Inference for Fractional Diffusion Processes

Author(s): B.L.S. Prakasa Rao
Genre: Science
Original Publish Date: Jul 05, 2011
Product Number: EB00066014
Released: Aug 19, 2013
Business Term: Purchase
ISBN: #9780470975763
Publisher: Wiley
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Stochastic processes are widely used for model building in the social, physical, engineering and life sciences as well as in financial economics. In model building, statistical inference for stochastic processes is of great importance from both a theoretical and an applications point of view. This book deals with Fractional Diffusion Processes and statistical inference for such stochastic processes. The main focus of the book is to consider parametric and nonparametric inference problems for fractional diffusion processes when a complete path of the process over a finite interval is observable. Key features: -Introduces self-similar processes, fractional Brownian motion and stochastic integration with respect to fractional Brownian motion. -Provides a comprehensive review of statistical inference for processes driven by fractional Brownian motion for modelling long range dependence. -Presents a study of parametric and nonparametric inference problems for the fractional diffusion process. -Discusses the fractional Brownian sheet and infinite dimensional fractional Brownian motion. -Includes recent results and developments in the area of statistical inference of fractional diffusion processes. Researchers and students working on the statistics of fractional diffusion processes and applied mathematicians and statisticians involved in stochastic process modelling will benefit from this book.