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Multidimensional Second Order Stochastic Processes

Name: Multidimensional Second Order Stochastic Processes
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05065692
Price: 97.99 EUR
Availability: InStock
Author: Y. Kakihara
ISBN: 9789810230005

Y. Kakihara

Language

English

Book Hardback

Libristo code: 05065692

Publishers World Scientific Publishing Co Pte Ltd, January 1997

This book provides a research-expository treatment of infinite-dimensional nonstationary stochastic... Full description

Libristo code: 05065692

240 b

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This book provides a research-expository treatment of infinite-dimensional nonstationary stochastic processes or times series. Stochastic measures and scalar or operator bimeasures are fully discussed to develop integral representations of various classes of nonstationary processes such as harmonizable, "V"-bounded, Cramer and Karhunen classes and also the stationary class. Emphasis is on the use of functional, harmonic analysis as well as probability theory. Applications are made from the probabilistic and statistical points of view to prediction problems, Kalman filter, sampling theorems and strong laws of large numbers. Readers may find that the covariance kernel analysis is emphasized and it reveals another aspect of stochastic processes. This book is intended not only for probabilists and statisticians, but also for communication engineers.