Aimed primarily at those outside of the field of statistics, this book not only provides an accessible introduction to measure theory, stochastic calculus, and stochastic processes, with particular emphasis on martingales and Brownian motion, but develops into an excellent user's guide to filtering. Including exercises for students, it will be a complete resource for engineers, signal processing researchers, or anyone with an interest in practical implementation of filtering techniques, in particular, the Kalman filter. Three separate chapters concentrate on applications arising in finance, genetics, and population modelling.
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Robert Elliott is the RBC Financial Group Professor of Finance at the University of Calgary, Canada.
"It is well written and self-contained. I am convinced that it will raise a lot of interest and remain a reference for a long time to come." Alain Bensoussan, University of Texas at Dallas
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