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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Book ChapterDOI
An Overview of Automatic Speech Recognition
TL;DR: This chapter reviews some of the key advances in several areas of automatic speech recognition and addresses technical challenges that need to be faced in order to reach the ultimate goal of providing an easy-to-use, natural, and flexible voice interface between people and machines.
Journal ArticleDOI
Multi-aspect target detection for SAR imagery using hidden Markov models
TL;DR: The authors employ a sequence of directional filters to the SAR imagery, thereby generating a series of subaperture images that recover the directional dependence of the target scattering, and design a hidden Markov model (HMM) wherein the orientation-dependent scattering statistics are exploited explicitly.
Journal ArticleDOI
A data-driven approach based on long short-term memory and hidden Markov model for crack propagation prediction
Duyen H. Nguyen-Le,Quang Bang Tao,Vu-Hieu Nguyen,M. Abdel-Wahab,M. Abdel-Wahab,Hung Nguyen-Xuan,Hung Nguyen-Xuan +6 more
TL;DR: It was found that a combined long short-term memory - hidden Markov model results in more accurate solution than only using long short -term memory, especially in the case of the dataset that is lack of information.
Journal ArticleDOI
Detection of hidden Markov model transient signals
Biao Chen,Peter Willett +1 more
TL;DR: This work devise a procedure analogous to Page's test for dependent observations that is applied to the detection of a change in hidden Markov modeled observations, i.e., a switch from one HMM to another.
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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.