Towards strongly consistent online HMM parameter estimation using one-step Kerridge inaccuracy

Molloy, Timothy L. & Ford, Jason J. (2015) Towards strongly consistent online HMM parameter estimation using one-step Kerridge inaccuracy. Signal Processing, 115, pp. 79-93.

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Abstract

In this paper, we propose a novel online hidden Markov model (HMM) parameter estimator based on the new information-theoretic concept of one-step Kerridge inaccuracy (OKI). Under several regulatory conditions, we establish a convergence result (and some limited strong consistency results) for our proposed online OKI-based parameter estimator. In simulation studies, we illustrate the global convergence behaviour of our proposed estimator and provide a counter-example illustrating the local convergence of other popular HMM parameter estimators.

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ID Code: 83667
Item Type: Journal Article
Refereed: Yes
Keywords: Hidden Markov models, Kerridge inaccuracy, Parameter estimation
DOI: 10.1016/j.sigpro.2015.03.015
ISSN: 0165-1684
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > STATISTICS (010400) > Statistical Theory (010405)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > ELECTRICAL AND ELECTRONIC ENGINEERING (090600) > Signal Processing (090609)
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2015 Elsevier B.V.
Copyright Statement: NOTICE: this is the author’s version of a work that was accepted for publication in Signal Processing. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Signal Processing, Volume 115, October 2015, DOI: 10.1016/j.sigpro.2015.03.015
Deposited On: 17 Apr 2015 03:00
Last Modified: 07 May 2015 16:46

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