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Asymptotic smoothing errors for hidden Markov models

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3 Author(s)
Shue, L. ; Centre for Signal Process., Nanyang Technol. Univ., Singapore ; Anderson, B.D.O. ; De Bruyne, F.

In this paper, the asymptotic smoothing error for hidden Markov models (HMMs) is investigated using hypothesis testing ideas. A family of HMMs is studied parametrised by a positive constant ε, which is a measure of the frequency of change. Thus, when ε→0, the HMM becomes increasingly slower moving. We show that the smoothing error is O(ε). These theoretical predictions are confirmed by a series of simulations.

Published in:

Signal Processing, IEEE Transactions on  (Volume:48 ,  Issue: 12 )

Date of Publication:

Dec 2000

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