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OverviewAimed at students and researchers in mathematics, communications engineering, and economics, this book describes the probabilistic structure of a Gaussian process in terms of its canonical representation (or its innovation process). Multiple Markov properties of a Gaussian process and equivalence problems of Gaussian processes are clearly presented. The authors' approach is unique, involving causality in time evolution and information-theoretic aspects. Because the book is self-contained and only requires background in the fundamentals of probability theory and measure theory, it would be suitable as a textbook at the senior undergraduate or graduate level. Full Product DetailsAuthor: T. Hida , Masuyuki HitsudaPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 120 Weight: 0.380kg ISBN: 9780821843581ISBN 10: 0821843583 Pages: 183 Publication Date: 15 July 2007 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsFoundations of probability theory and limit theorems Systems of Gaussian random variables Stationary Gaussian processes and their representations Canonical representation of Gaussian processes: General theory and multiplicity Multiple Markov Gaussian processes Equivalence of Gaussian processes Stochastic integrals and martingales.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |