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Hidden Markov Processes and Adaptive Filtering

Hidden Markov Processes and Adaptive Filtering

Hardcover

Series: Springer Statistics

Probability & Statistics

ISBN10: 3032000513
ISBN13: 9783032000514
Publisher: Springer
Published: Nov 18 2025
Pages: 654
Weight: 2.46
Height: 1.44 Width: 6.14 Depth: 9.21
Language: English
This book is devoted to the problem of adaptive filtering for partially observed systems depending on unknown parameters. Adaptive filters are proposed for a wide variety of models: Gaussian and conditionally Gaussian linear models of diffusion processes; some nonlinear models; telegraph signals in white Gaussian noise (all in continuous time); and autoregressive processes observed in white noise (discrete time). The properties of the estimators and adaptive filters are described in the asymptotics of small noise or large samples. The parameter estimators and adaptive filters have a recursive structure which makes their numerical realization relatively simple. The question of the asymptotic efficiency of the adaptive filters is also discussed.

Also from

Kutoyants, Yury A.

Also in

Probability & Statistics