A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains
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This article is published in Annals of Mathematical Statistics.The article was published on 1970-02-01 and is currently open access. It has received 4618 citations till now. The article focuses on the topics: Examples of Markov chains & Markov chain.read more
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Hidden Markov model and nuisance attribute projection based bearing performance degradation assessment
TL;DR: In this article, a bearing performance degradation assessment method based on hidden Markov model (HMM) and nuisance attribute projection (NAP) is proposed, which is more sensitive to bearing health changes and barely influenced by other interferences occurring in operation condition.
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Spike sorting with hidden Markov models
TL;DR: It is shown that in comparison with state-of-art spike-sorting algorithms, HMM-based spike sorting exhibits a comparable number of false positive spike classifications but many fewer spike misses.
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Unsupervised signal restoration using hidden Markov chains with copulas
TL;DR: The aim is to take into account the hidden signal and complex relationships between the noises which can be from different parametric models, non-independent, and of class-varying nature, and apply resulting unsupervised restoration methods in variety of situations.
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Recent applications of Hidden Markov Models in computational biology.
TL;DR: This paper examines recent developments and applications of Hidden Markov Models to various problems in computational biology, including multiple sequence alignment, homology detection, protein sequences classification, and genomic annotation.
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Multilingual part-of-speech tagging with weightless neural networks
TL;DR: Experimental evaluation indicates that mWANN-Tagger either outperforms or matches state-of-art methods in accuracy with very low standard deviation, i.e., lower than 0.25%.
References
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Journal ArticleDOI
Statistical Inference for Probabilistic Functions of Finite State Markov Chains
Leonard E. Baum,Ted Petrie +1 more
Journal ArticleDOI
An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology
Leonard E. Baum,J. A. Eagon +1 more
TL;DR: In this paper, a polynomial with nonnegative coefficients homogeneous of degree d in its variables is shown to be polynomially homogeneous unless 3(3(x))>P(x), where 3(x)=x.
Book ChapterDOI
The Gamma Function
Willi Freeden,Martin Gutting +1 more
TL;DR: The Gamma function as discussed by the authors is a generalized factorial function that can be used to estimate the probability distribution of a probability distribution, and it has been used in many applications, e.g., as part of probability distributions.