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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Joint Particle Filter and UKF Position Tracking in Severe Non-Line-of-Sight Situations
TL;DR: This paper studies the localization of mobile terminals (MT) based on a Bayesian model for the LOS-NLOS evolution, which shows a remarkable reduction in positioning error and a high degree of scalability in terms of performance versus complexity.
Proceedings ArticleDOI
Optimization of HMM by a genetic algorithm
TL;DR: A stochastic search method called the genetic algorithm (GA) is presented for HMM training and experiments showed that using the GA for H MM training (GA-HMM training) result in a better performance than using other heuristic algorithms.
Journal ArticleDOI
Fragment-HMM : A new approach to protein structure prediction
TL;DR: A simple position‐specific hidden Markov model to predict protein structure that naturally repeats itself to converge to a final target, conglomerating fragment assembly, clustering, target selection, refinement, and consensus, all in one process.
Journal ArticleDOI
A comparative study of multivariate and univariate hidden Markov modelings in time-binned single-molecule FRET data analysis.
TL;DR: It is found that, if the noise in the signal is described with a proper probability distribution, MHMM generally outperforms UHMM and, in the case of multiple trajectories, analyzing them simultaneously gives better results than averaging over individual analysis results.
Book
Mathematical Models for Speech Technology
TL;DR: The role of sensorimotor function, associative memory and reinforcement learning in automatic acquisition of spoken language by an autonomous robot and the prospects for a science of the mind are considered.
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.