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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Supplementary Materials for Stick Insect Genomes Reveal Natural Selection's Role in Parallel Speciation
Víctor Soria-Carrasco,Zachariah Gompert,Aaron A. Comeault,Timothy E. Farkas,Thomas L. Parchman,J. Spencer Johnston,C. Alex Buerkle,Jeffrey L. Feder,Jens Bast,Tanja Schwander,Scott P. Egan,Bernard J. Crespi,Patrik Nosil +12 more
TL;DR: This article analyzed whole-genome divergence between replicate pairs of stick insect populations that are adapted to different host plants and undergoing parallel speciation and found thousands of modest-sized genomic regions of accentuated divergence between populations, most of which are unique to individual population pairs.
Journal ArticleDOI
Host-based intrusion detection using dynamic and static behavioral models
Dit-Yan Yeung,Yuxin Ding +1 more
TL;DR: This paper adopts an anomaly detection approach by detecting possible intrusions based on program or user profiles built from normal usage data using a scheme that can be justified from the perspective of hypothesis testing.
Book
An Introduction to Digital Speech Processing
TL;DR: A comprehensive overview of digital speech processing that ranges from the basic nature of the speech signal, through a variety of methods of representing speech in digital form, to applications in voice communication and automatic synthesis and recognition of speech.
Proceedings Article
Reinforcement learning with perceptual aliasing: the perceptual distinctions approach
TL;DR: The predictive distinctions approach to compensate for perceptual aliasing caused from incomplete perception of the world is introduced and Experimental results are given for a simple simulated domain, and additional issues are discussed.
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A probabilistic distance measure for hidden Markov models
TL;DR: A probabilistic distance measure for measuring the dissimilarity between pairs of hidden Markov models with arbitrary observation densities is proposed based on the Kullback-Leibler number and is consistent with the reestimation technique for hidden MarkOV models.
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.