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Open AccessJournal ArticleDOI

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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Book ChapterDOI

Mining Text Data

TL;DR: Mining Text Data introduces an important niche in the text analytics field, and is an edited volume contributed by leading international researchers and practitioners focused on social networks & data mining.
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MOSAIC Model for Sensorimotor Learning and Control

TL;DR: Simulations of an object manipulation task prove that the MOSAIC architecture can learn to manipulate multiple objects and switch between them appropriately and shows generalization to novel objects whose dynamics lie within the polyhedra of already learned dynamics.
Journal ArticleDOI

Minimum classification error rate methods for speech recognition

TL;DR: The issue of speech recognizer training from a broad perspective with root in the classical Bayes decision theory is discussed, and the superiority of the minimum classification error (MCE) method over the distribution estimation method is shown by providing the results of several key speech recognition experiments.
Journal ArticleDOI

Prognostic modelling options for remaining useful life estimation by industry

TL;DR: Business issues that need to be considered when selecting an appropriate modelling approach for trial are discussed and classification tables and process flow diagrams are presented to assist industry and research personnel select appropriate prognostic models for predicting the remaining useful life of engineering assets within their specific business environment.
Journal Article

Fitting Phase-type Distributions via the EM Algorithm

TL;DR: An extended EM algorithm is used to minimize the information divergence (maximize the relative entropy) in the density approximation case and fits to Weibull, log normal, and Erlang distributions are used as illustrations of the latter.
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