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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A Hierarchical Spatio-Temporal Markov Model for Improved Flood Mapping Using Multi-Temporal X-Band SAR Data
Sandro Martinis,André Twele +1 more
TL;DR: Experiments performed on a bi-temporal TerraSAR-X ScanSAR data-set from the Caprivi region of Namibia during flooding in 2009 and 2010 confirm the effectiveness of integrating hierarchical as well as spatio-tem temporal context into the labeling process, and of adapting the models to irregular graph structures.
Journal ArticleDOI
A biomedical system based on hidden Markov model for diagnosis of the heart valve diseases
TL;DR: The present study shows that proper selection of the HMMs initial parameter values according to FCM/K-means algorithms improves the recognition rate of the proposed system which was also compared to the authors' previous study named ANN.
Journal ArticleDOI
Latent Markov model for longitudinal binary data: An application to the performance evaluation of nursing homes
TL;DR: It is illustrated how a latent Markov model with covariates may effectively be used for the analysis of data collected in this way, and how the estimates of these effects may be used to construct a set of scores which allows us to rank nursing homes in terms of their efficacy in takingcare of the health conditions of their patients.
Journal ArticleDOI
HMMRATAC: a Hidden Markov ModeleR for ATAC-seq.
Evan Tarbell,Tao Liu,Tao Liu +2 more
TL;DR: It is found that single-end sequenced or size-selected ATAC-seq datasets result in a loss of sensitivity compared to paired-end datasets without size-selection, and it is shown that HMMRATAC outperforms the popular peak-calling algorithms on published human ATAC -seq datasets.
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.