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Almost sure parameter estimation and convergence rates for hidden Markov models

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Publication:1128433
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DOI10.1016/S0167-6911(97)00076-5zbMath0902.93066MaRDI QIDQ1128433

Robert J. Elliott, John B. Moore

Publication date: 13 August 1998

Published in: Systems \& Control Letters (Search for Journal in Brave)


zbMATH Keywords

parameter estimationhidden Markov modelsmartingale convergenceKronecker's lemma


Mathematics Subject Classification ID

Identification in stochastic control theory (93E12)


Related Items (9)

Fractional Diffusion with Partial Observations ⋮ Estimation for hidden Markov random fields ⋮ An ergodic theorem for filtering with applications to stability ⋮ Almost sure parameter estimation and convergence rates for hidden Markov models ⋮ Drift and volatility estimation in discrete time ⋮ Kalman filtering for linear systems with coefficients driven by a hidden Markov jump process ⋮ Asymptotic properties of MLE for partially observed fractional diffusion system ⋮ Kalman filtering of a space-time Markov random field ⋮ A representation result for finite Markov chains



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  • Almost sure parameter estimation and convergence rates for hidden Markov models


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