Measure Theory and Filtering Introduction with Applications

Name: Measure Theory and Filtering Introduction with Applications
Price: 46.13 USD
Availability: InStock
ISBN: 9780521838030

ISBN-10: 0521838037

ISBN-13: 9780521838030

Edition: 2004

Authors: Lakhdar Aggoun, Robert Elliott, R. Gill, B. D. Ripley, S. Ross

List price: $98.00

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Description:

The estimation of noisily observed states from a sequence of data has traditionally incorporated ideas from Hilbert spaces and calculus based probability theory. As conditional expectation is the key concept, the correct setting for filtering theory is that of a probability space. Graduate engineers, mathematicians and those working in quantitative finance wishing to use filtering techniques will find in the first half of this book an accessible introduction to measure theory, stochastic calculus, and stochastic processes, with particular emphasis on martingales and Brownian motion. Exercises are included. The book then provides an excellent users' guide to filtering: basic theory is…

Book details

List price: $98.00
Copyright year: 2004
Publisher: Cambridge University Press
Publication date: 9/13/2004
Binding: Hardcover
Pages: 270
Size: 7.24" wide x 10.31" long x 1.02" tall
Weight: 1.320
Language: English




Theory



Basic probability concepts



Stochastic processes



Stochastic calculus



Change of measures



Applications



Kalman filtering



Financial applications



A Genetics model



Hidden populations