The book covers Wiener-driven equations as well as stochastic differential equations with jumps, including continuous-time ARMA processes and COGARCH processes. It presents a spectrum of estimation methods, including nonparametric estimation as well as parametric estimation based on likelihood methods, estimating functions, and simulation techniques. Two chapters are devoted to high-frequency data. Multivariate models are also considered, including partially observed systems, asynchronous sampling, tests for simultaneous jumps, and multiscale diffusions.
Statistical Methods for Stochastic Differential Equations is useful to the theoretical statistician and the probabilist who works in or intends to work in the field, as well as to the applied statistician or financial econometrician who needs the methods to analyze biological or financial time series.
About the Authors
Matthieu Kessler, Department of Applied Mathematics and Statistics, University of Cartagena, Spain
Alexander Lindner, Institute of Mathematics and Statistics, TU Braunschweig, Germany
Michael Sorensen, Department of Mathematical Sciences, University of Copenhagen, Denmark
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ISBN 9781439849408, May 2012, 507 pp, $99.95