Vision and the lighting requirements of ducks (Anas platyrhynchos domesticus) and turkeys (Meleagris...

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" Vision and the lighting requirements of ducks (Anas platyrhynchos domesticus) and turkeys (Meleagris gallopavo gallopavo) "
Barber, Claire Louise

Document Type	:	BL
Record Number	:	753198
Doc. No	:	b573159
Main Entry	:	by Peter A. Ruymgaart, Tsu T. Soong.
Title & Author	:	Mathematics of Kalman-Bucy Filtering\ by Peter A. Ruymgaart, Tsu T. Soong.
Edition Statement	:	Second edition
Publication Statement	:	Berlin, Heidelberg : Springer Berlin Heidelberg, 1988
Series Statement	:	Springer series in information sciences, 14.
Page. NO	:	(xii, 170 pages 19 illustrations)
ISBN	:	3642733417
	:	: 9783642733413
Contents	:	Elements of Probability Theory --; Calculus in Mean Square --; The Stochastic Dynamic System --; The Kalman-Bucy Filter --; A Theorem by Liptser and Shiryayev --; Appendix: Solutions to Selected Exercises --; References --; Subject Index.
Abstract	:	This book addresses the mathematics of Kalman-Bucy filtering and is designed for readers who are well versed in the practice of Kalman-Bucy filters but are interested in the mathematics on which they are based. The main topic in this book is the continuous-time Kalman-Bucy filter. Although the discrete-time Kalman filter results were obtained first, the continuous-time results are important when dealing with systems developing in time continuously; they are thus more appropriately modeled by differential equations than by difference equations. Confining attention to the Kalman-Bucy filter, the mathematics needed consists mainly of operations in Hilbert spaces. A relatively complete treatment of mean square calculus is given, leading to a discussion of the Wiener-Levy process. This is followed by a treatment of the stochastic differential equations central to the modeling of the Kalman-Bucy filtering process. The mathematical theory of the Kalman-Bucy filter is then introduced, and with the aid of a theorem of Liptser and Shiryayev, new light is shed on the dependence of the Kalman-Bucy estimator on observation noise.
Subject	:	Coding theory.
Subject	:	Computer science.
Subject	:	Distribution (Probability theory)
LC Classification	:	‭QA402.3‬‭B974 1988‬
Added Entry	:	Peter A Ruymgaart
	:	T T Soong
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