Work

Asymptotically Efficient Identification of Known-Sensor Hidden Markov Models

Year: 2017
Type: article
Abstract: We consider estimating the transition probability matrix of a finite-state finite-observation alphabet hidden Markov model with known observation probabilities. We propose a two-step algorithm: a method of moments estimator (formulated as a convex optimization problem) followed by a single iteration of a Newton-Raphson maximum-likelihood estimator. The two-fold contribution of this letter is, first, to theoretically show that the proposed estimator is consistent and asymptotically efficient, and second, to numerically show that the method is computationally less demanding than conventional methods-in particular for large datasets.
Authors: Robert Mattila, Cristian R. Rojas, Vikram Krishnamurthy, Bo Wahlberg
Language: English
Open Access status: green
OpenAlex ID: W2583586327
FWCI: 0.325
Cites: 26
Cited by: 4
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