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A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains

Leonard E. Baum, +3 more
- 01 Feb 1970 - 
- Vol. 41, Iss: 1, pp 164-171
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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.

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Citations
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Journal ArticleDOI

Large-scale mutation in the evolution of a gene complex for cryptic coloration

TL;DR: It is shown that multiple linked but recombining loci underlie cryptic color morphs of Timema chumash stick insects, and how suppressed recombination and large-scale mutation can help to package gene complexes into discrete units of diversity such as morphs, ecotypes, or species are shown.
Journal ArticleDOI

Relative Hidden Markov Models for Video-Based Evaluation of Motion Skills in Surgical Training

TL;DR: Experimental results suggest that the proposed approach provides a promising solution to video-based motion skill evaluation and the potential of generalizing the method to other applications of temporal analysis is illustrated.
Book ChapterDOI

Process Mining Versus Intention Mining

TL;DR: The use of mining techniques are illustrated on a dataset of event logs, to discover an activity process model as well as an intentional process model.
Journal ArticleDOI

Parallel algorithms/architectures for neural networks

TL;DR: A programmable systolic array is proposed, which maximizes the strength of VLSI in terms of intensive and pipelined computing and yet circumvents the limitation on communication.
Journal ArticleDOI

Integrated track maintenance for the PMHT via the hysteresis model

TL;DR: A new extension of the PMHT is presented, which incorporates a randomly evolving Bayesian hyperparameter for the assignment process that reflects each model's contribution to the mixture, and thus can be used to quantify the significance of mixture components.
References
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Journal ArticleDOI

An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology

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

The gamma function

Emil Artin, +1 more
Book ChapterDOI

The Gamma Function

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.
Journal ArticleDOI

An Inequality

Joel Brenner