Control and communications engineers, physicists, and probability theorists, among others, will find this book unique. It contains a detailed development of approximation and limit theorems and methods for random processes and applies them to numerous problems of practical importance. In particular, it develops usable and broad conditions and techniques for showing that a sequence of processes converges to a Markov diffusion or jump process. This is useful when the natural physical model is quite complex, in which case a simpler approximation la diffusion process, for example) is usually made. The book simplifies and extends some important older methods and develops some powerful new ones applicable to a wide variety of limit and approximation problems. The theory of weak convergence of probability measures is introduced along with general and usable methods (for example, perturbed test function, martingale, and direct averaging) for proving tightness and weak convergence. Kushner's study begins with a systematic development of the method. It then treats dynamical system models that have state-dependent noise or nonsmooth dynamics. Perturbed Liapunov function methods are developed for stability studies of nonMarkovian problems and for the study of asymptotic distributions of non-Markovian systems. Three chapters are devoted to applications in control and communication theory (for example, phase-locked loops and adoptive filters). Smallnoise problems and an introduction to the theory of large deviations and applications conclude the book. This book is the sixth in The MIT Press Series in Signal Processing, Optimization, and Control, edited by Alan S. Willsky.
Product Identifiers
Publisher
MIT Press Ltd
ISBN-13
9780262512183
eBay Product ID (ePID)
95840583
Product Key Features
Author
Harold Kushner
Publication Name
Approximation and Weak Convergence Methods for Random Processes with Applications to Stochastic Systems Theory
Format
Paperback
Language
English
Subject
Computer Science
Publication Year
2008
Type
Textbook
Number of Pages
287 Pages
Dimensions
Item Height
229mm
Item Width
152mm
Item Weight
544g
Additional Product Features
Title_Author
Harold Kushner
Country/Region of Manufacture
United States
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