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Maximum-Likelihood Estimation for Mixture Multivariate Stochastic Observations of Markov Chains
Abstract
In this paper we discuss parameter estimation by means of the reestimation algorithm for a class of multivariate mixture density functions of Markov chains. The scope of the original reestimation algorithm is expanded and the previous assumptions of log concavity or ellipsoidal symmetry are obviated, thereby enhancing the modeling capability of the technique. Reestimation formulas in terms of the well-known forward-backward inductive procedure are also derived.
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Cited by
A tutorial on hidden Markov models and selected applications in speech recognition
Rabiner, L. R. (1989) · Proceedings of the IEEE · doi:10.1109/5.18626 · Cited by 22,743
Maximum a posteriori estimation for multivariate Gaussian mixture observations of Markov chains
Gauvain, J.-L., & Lee, C.-H. (1994) · IEEE Transactions on Speech and Audio Processing · doi:10.1109/89.279278 · Cited by 2,108
Real-time American Sign Language recognition from video using hidden Markov models
Starner, T., & Pentland, A. (2002) · Proceedings of International Symposium on Computer Vision - ISCV · doi:10.1109/iscv.1995.477012 · Cited by 773
Semi-tied covariance matrices for hidden Markov models
Gales, M. J. F. (1999) · IEEE Transactions on Speech and Audio Processing · doi:10.1109/89.759034 · Cited by 537
Modeling and Prediction of Human Behavior
Pentland, A., & Liu, A. (1999) · Neural Computation · doi:10.1162/089976699300016890 · Cited by 520
Metadata
- Authors
- Juang, B.-H.
- Venue
- AT&T Technical Journal
- Published
- 1985-07-08
- Volume
- 64
- Issue
- 6
- Pages
- 1235-1249
- ISSN
- 2376-676X (ISSN-L)
- 8756-2324
- OpenAlex
- W2014089984
- Cited by
- 236
- References
- 0
- FWCI
- 1.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Maximum-Likelihood Estimation for Mixture Multivariate Stochastic Observations of Markov Chains. https://app.cochat.ai/papers/10.1002/j.1538-7305.1985.tb00273.x
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- Juang, B.-H. (1985). Maximum-Likelihood Estimation for Mixture Multivariate Stochastic Observations of Markov Chains. AT&T Technical Journal. https://doi.org/10.1002/j.1538-7305.1985.tb00273.x
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