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
Citations
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Unsupervised learning of functional network dynamics in resting state fMRI
TL;DR: This paper presents a novel methodology that can decode connectivity dynamics into a temporal sequence of hidden network "states" for each subject, using a Hidden Markov Modeling (HMM) framework, and shows that this method can effectively recover underlying basis networks as well as hidden states.
Journal ArticleDOI
Classification via the Shadow Region in SAR Imagery
Scott Papson,Ram M. Narayanan +1 more
TL;DR: A technique of hidden Markov modeling (HMM) of the shadow profile is developed here and indicates that the shadows provide useful discriminatory information that can be used to advance recognition capabilities in SAR ATR applications.
Book ChapterDOI
Maximum Entropy Models
TL;DR: A draft chapter for the Blackwell Computational Linguistics and Natural Lan-guage Processing Handbook, edited by Alex Clark, Chris Fox and Shalom Lappin, was published on 1st October 2008.
Journal ArticleDOI
Measuring business cycles with a dynamic Markov switching factor model : an assessment using Bayesian simulation methods
TL;DR: Bayesian estimation of the model is based on Markov chain Monte Carlo simulation methods which yield inferences about the unobservable path of the common factor, the latent variable of the state process and all model parameters.
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QCS: A system for querying, clustering and summarizing documents
TL;DR: A novel integrated information retrieval system-the Query, Cluster, Summarize (QCS) system, which is portable, modular, and permits experimentation with different instantiations of each of the constituent text analysis components, demonstrates the feasibility of assembling an effective IR system from existing software libraries, the usefulness of the modularity of the design, and the value of this particular combination of modules.
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.
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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.