Discrete-time expectation maximization algorithms for Markov-modulated poisson processes

Date

2008

Authors

Elliott, R.
Malcolm, W.

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Journal article

Citation

IEEE Transactions on Automatic Control, 2008; 53(2):247-256

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Elliott, R.J. and Malcolm, W.P.

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Abstract

In this paper, we consider parameter estimation Markov-modulated Poisson processes via robust filtering and smoothing techniques. Using the expectation maximization algorithm framework, our filters and smoothers can be applied to estimate the parameters of our model in either an online configuration or an offline configuration. Further, our estimator dynamics do not involve stochastic integrals and our new formulas, in terms of time integrals, are easily discretized, and are written in numerically stable forms in W. P. Malcolm, R. J. Elliott, and J. van der Hoek, ldquoOn the numerical stability of time-discretized state estimation via clark transformations,rdquo presented at the IEEE Conf. Decision Control, Mauii, HI, Dec. 2003.

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Dissertation Note

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Link to a related website: https://prism.ucalgary.ca/bitstream/1880/49072/1/Elliott_Discrete_Time_Expectation_2008_postprint.pdf, Open Access via Unpaywall

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Copyright 2008 IEEE

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