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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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Book

A Guide to QTL Mapping with R/qtl

Karl W. Broman, +1 more
TL;DR: In this article, a single-QTL analysis was performed on two-dimensional, two-Q-TL scans and the model was extended to include multiple Q-TL models.
Book

Application of Hidden Markov Models in Speech Recognition

TL;DR: The aim of this review is first to present the core architecture of a HMM-based LVCSR system and then to describe the various refinements which are needed to achieve state-of-the-art performance.
Journal ArticleDOI

An introduction to hidden Markov models and Bayesian networks

TL;DR: A tutorial on learning and inference in hidden Markov models in the context of the recent literature on Bayesian networks is provided, and a discussion of Bayesian methods for model selection in generalized HMMs is discussed.
Dissertation

Visual Recognition of American Sign Language Using Hidden Markov Models.

Thad Starner
TL;DR: Using hidden Markov models (HMM's), an unobstrusive single view camera system is developed that can recognize hand gestures, namely, a subset of American Sign Language (ASL), achieving high recognition rates for full sentence ASL using only visual cues.
Journal ArticleDOI

Analysis of Single-Molecule FRET Trajectories Using Hidden Markov Modeling

TL;DR: An analysis scheme is developed that casts single-molecule time-binned FRET trajectories as hidden Markov processes, allowing one to determine, based on probability alone, the most likely FRET-value distributions of states and their interconversion rates while simultaneously determining the mostlikely time sequence of underlying states for each trajectory.
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