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
Speechreading using Probabilistic Models
Juergen Luettin,Neil A. Thacker +1 more
TL;DR: A speechreading (lip-reading) system, where the extracted features are modeled by Gaussian distributions and their temporal dependencies by hidden Markov models, which achieves an accuracy about equivalent to that of untrained humans.
Proceedings ArticleDOI
Recognition of Equations Using a Two-Dimensional Stochastic Context-Free Grammar
TL;DR: This work proposes using two-dimensional stochastic context-free grammars for image recognition, in a manner analogous to using hidden Markov models for speech recognition, and demonstrates the value of the approach in a system that recognizes printed, noisy equations.
Journal ArticleDOI
Reversible jump, birth‐and‐death and more general continuous time Markov chain Monte Carlo samplers
TL;DR: In this article, it was shown that the reversible jump chain converges to a limiting continuous-time birth-and-death process for mixtures of distributions and hidden Markov models.
Journal ArticleDOI
Bayesian Gaussian Mixture Linear Inversion for Geophysical Inverse Problems
TL;DR: A Bayesian linear inversion methodology based on Gaussian mixture models and its application to geophysical inverse problems is presented in this article, where a recursive exact solution to an approximation of the posterior distribution of the inverse problem is proposed.
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.