Identification and estimation of hidden Markov models

Identification and estimation of hidden Markov models

In the current thesis several selected aspects of the two related latent class models; finite mixtures and hidden Markov models, were considered. The problem of calculating the MLE of a Gaussian mixture with Newton's method and the consistency of penalized MLE were investigated. A penaliz...

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Bibliographische Detailangaben
1. Verfasser: Alexandrovich, Grigory
Beteiligte: Holzmann, Hajo (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Sprache:Englisch
Veröffentlicht: Philipps-Universität Marburg 2014
Schlagworte:
maximum likelihood
Point estimation
Identifikation
Schätzung
Statistik
Konsistenz
Classification and discrimination; cluster analysis
identification
hidden Markov models
Mathematik
consistency
Estimation
hidden Markov Modelle
None of the above, but in this section
mixture models
Mathematics
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Beschreibung
Zusammenfassung:In the current thesis several selected aspects of the two related latent class models; finite mixtures and hidden Markov models, were considered. The problem of calculating the MLE of a Gaussian mixture with Newton's method and the consistency of penalized MLE were investigated. A penalized MLE procedure for univariate Gaussian hidden Markov models was introduced and shown to be consistent. Furthermore, a result on identifiability of nonparametric hidden Markov models is derived.
DOI:10.17192/z2014.0393

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