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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From mechanical folding trajectories to intrinsic energy landscapes of biopolymers
Michael Hinczewski,J. Christof M. Gebhardt,J. Christof M. Gebhardt,Matthias Rief,Devarajan Thirumalai +4 more
TL;DR: The method is validated by showing that the exactly calculable intrinsic free-energy profile for a generalized Rouse model can be accurately extracted from simulated time series in a LOT setup regardless of the stiffness of the handles.
Book ChapterDOI
A Probabilistic Parsing Method for Sentence Disambiguation
TL;DR: The authors construct a grammar which can parse sentences selected from a natural language corpus is a difficult task and one of the most serious problems is the unmanageably large number of ambiguities.
Journal ArticleDOI
Parameter Estimation for Markov Modulated Poisson Processes
TL;DR: In this article, the authors give a brief survey of methods, most of which are based on moment matching, that have earlier been proposed for estimating the parameters of Markov modulated Poisson process.
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Markov-switching model selection using Kullback–Leibler divergence
TL;DR: In this article, a new information criterion, Markov switching criterion (MSC), is proposed to mitigate the over-retention of states in the Markov chain, which yields a marked improvement in state determination and variable selection.
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Modeling and recognition of cursive words with hidden Markov models
TL;DR: A new method for modeling and recognizing cursive words with hidden Markov models (HMM) is presented, using a sequence of thin fixed-width vertical frames that capture the local features of the handwriting.
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.