Hidden Markov Models Estimation and Control

Hidden Markov Models Estimation and Control
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Hidden Markov Models

Estimation and Control

Series: Stochastic Modelling and Applied Probability, Vol. 29

by Elliott, Robert J., Aggoun, Lakhdar, Moore, John B.

1st ed. 1995. Corr. 3rd printing, 1995, XIV, 380 p. 25 illus.

Mathematics > Applications

s more applications are found, interest in Hidden Markov Models continues to grow. Following comments and feedback from colleagues, students and other working with Hidden Markov Models the corrected 3rd printing of this volume contains clarifications, improvements and some new material, including results on smoothing for linear Gaussian dynamics.

In Chapter 2 the derivation of the basic filters related to the Markov chain are each presented explicitly, rather than as special cases of one general filter. Furthermore, equations for smoothed estimates are given. The dynamics for the Kalman filter are derived as special cases of the authorsĄŻ general results and new expressions for a Kalman smoother are given. The Chapters on the control of Hidden Markov Chains are expanded and clarified. The revised Chapter 4 includes state estimation for discrete time Markov processes and Chapter 12 has a new section on robust control.

Content Level » Research

Keywords » 93E11, 93E20, 60G35, 60H30 - EM algorithm - Hidden Markov chains - filtering - parameter estimation - stochastic control

Related subjects » Applications - Probability Theory and Stochastic Processes - Quantitative Finance