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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Journal ArticleDOI
Sucker rod pumping diagnosis using valve working position and parameter optimal continuous hidden Markov model
Boyuan Zheng,Xianwen Gao +1 more
TL;DR: The first novel idea is to extract seven geometric features, which are obtained from dynamometer card using barycentric decomposition algorithm and valve working position, and the second novel idea focuses on the use of continuous hidden Markov model (CHMM) to create classifiers for diagnosing the down-dole operating conditions.
Journal ArticleDOI
An integrated toolkit for accurate prediction and analysis of cis-regulatory motifs at a genome scale
TL;DR: The comparison results on Escherichia coli K12 genome and the human genome show that BoBro2.0 can identify the statistically significant motifs at a genome scale more efficiently, identify motif instances more accurately and get more reliable motif clusters than MEME.
Proceedings ArticleDOI
Faster Maximum Likelihood Estimation Algorithms for Markovian Arrival Processes
Hiroyuki Okamura,Tadashi Dohi +1 more
TL;DR: The first improvement is to enhance the computation speed of Ryd\'en's EM algorithm for estimating MAP parameters and the second is to provide an efficient sub-class of MAPs to be appropriate for fitting to real traffic data.
Book ChapterDOI
Speech recognition: Statistical methods
Lawrence R. Rabiner,B. H. Juang +1 more
TL;DR: This article focuses on two important statistical methods, one based primarily on a hidden Markov model formulation that has gained widespread acceptance as the dominant technique in characterizing the variation in the acoustic signal representing speech, and one related to the use of statistics for characterizing word co-occurrences.
Journal Article
Combinatorial and algorithmic aspects of hyperbolic polynomials
TL;DR: This paper discovered rather unexpected and very likely far-reaching connections between hyperbolic polynomials and many classical combinatorial and algorithmic problems.
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.