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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Non-frontal view facial expression recognition based on ergodic hidden Markov model supervectors
TL;DR: This paper proposes a novel approach to tackling automatic facial expression recognition from non-frontal views based on the ergodic hidden Markov model (EHMM) supervector representation of facial images.
Journal ArticleDOI
PAutomaC: a probabilistic automata and hidden Markov models learning competition
TL;DR: The purpose of this paper is to describe some of the technical and intrinsic challenges such a competition has to face, to give a broad state of the art concerning both the problems dealing with learning grammars and finite state machines and the relevant literature.
Proceedings Article
On-line adaptation of hidden Markov models using incremental estimation algorithms.
TL;DR: In this paper, the authors show how incremental versions of the EM and the segmental k-means algorithm can be used to improve the convergence of these adaptation methods, reduce the computational requirements, and make them suitable for online applications.
Journal ArticleDOI
Hidden Markov models with t components. Increased persistence and other aspects
TL;DR: It is shown that the extended models, on the one hand, reproduce various stylized facts of daily returns better than the common Gaussian model, and on the other hand, robustness to outliers and persistence of the visited states increases significantly.
Journal ArticleDOI
Elderly-falling detection using distributed direction-sensitive pyroelectric infrared sensor arrays
Tong Liu,Xuemei Guo,Guoli Wang +2 more
TL;DR: A two-layer hidden Markov model is developed for recognizing a fall event based on the multidimensional signals of the distributed infrared sensing system.
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.