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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Alexandrovich, Grigory
مؤلفون آخرون: Holzmann, Hajo (Prof. Dr.) (مرشد الأطروحة)
التنسيق: Dissertation
اللغة:الإنجليزية
منشور في: Philipps-Universität Marburg 2014
الموضوعات:
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الوصف
الملخص: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