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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Stochastic technology life cycle analysis using multiple patent indicators
TL;DR: This paper defines and extracts seven time-series patent indicators from the United States Patent and Trademark Office database, and employs a hidden Markov model—which is an unsupervised machine learning technique based on a doubly stochastic process—to estimate the probability of a technology being at a certain stage of its life cycle.
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Unsupervised restoration of hidden nonstationary Markov chains using evidential priors
TL;DR: This paper shows, via simulations, that the classical restoration results can be improved by the use of the theory of evidence and Dempster-Shafer fusion, and is performed in an entirely unsupervised way using an original parameter estimation method.
Proceedings ArticleDOI
Supporting dynamic crosscutting with partial behavioral reflection: a case study
TL;DR: This paper reports on an experiment to support a widely-accepted, general-purpose aspect language mechanism - AspectJ's dynamic crosscutting - with a model of partial behavioral reflection, with a first approach to such a mapping.
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An Information-Extraction Approach to Speech Processing: Analysis, Detection, Verification, and Recognition
TL;DR: The recently proposed automatic speech attribute transcription (ASAT) framework is an attempt to mimic some HSR capabilities with asynchronous speech event detection followed by bottom-up knowledge integration and verification.
Journal ArticleDOI
Maximum likelihood blind channel estimation in the presence of Doppler shifts
Hakan Ali Cirpan,M.K. Tsatsanis +1 more
TL;DR: Both deterministic and stochastic maximum likelihood methods are developed and iterative solutions proposed for simultaneously estimating the Doppler shift and channel parameters in a blind setup.
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.