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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

Hidden Markov models for multiaspect target classification

TL;DR: A new approach for target identification is presented, in which scattering data from multiple target-sensor orientations are fuse, and the multiaspect data is processed via hidden Markov model (HMM) classifiers, buttressed by physics-based feature extraction.
Journal ArticleDOI

Frailty Correlated Default

TL;DR: This article analyzed portfolio credit risk in light of dynamic "frailty", by which the credit qualities of different firms depend on common unobservable time-varying default covariates.
Journal ArticleDOI

Some recent research in the analysis of mixture distributions

TL;DR: In this paper, some recent research in the analysis of mixture distributions has been carried out and some of the results have been published in the journal "Vol. 21, No. 4, pp. 619-641".
Patent

Speech recognition system interactive agent

TL;DR: A speech recognition system includes distributed processing across a client and server for recognizing a spoken query by a user as discussed by the authors, where a number of different speech models for different languages are used to support and detect a language spoken by the user.
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