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
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Proceedings Article
What is the Jeopardy Model? A Quasi-Synchronous Grammar for QA
TL;DR: A probabilistic quasi-synchronous grammar, inspired by one proposed for machine translation, and parameterized by mixtures of a robust nonlexical syntax/alignment model with a(n optional) lexical-semantics-driven log-linear model is proposed.
Journal ArticleDOI
Prosody-based automatic segmentation of speech into sentences and topics
TL;DR: This work combines prosodic cues with word-based approaches, and evaluates performance on two speech corpora, Broadcast News and Switchboard, finding that the prosodic model achieves comparable performance with significantly less training data, and requires no hand-labeling of prosodic events.
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Maximum-likelihood estimation for hidden Markov models
TL;DR: In this paper, the consistency of a sequence of maximum likelihood estimators is proved and the conclusion of the Shannon-McMillan-Breiman theorem on entropy convergence is established for hidden Markov models.
Patent
Intelligent query engine for processing voice based queries
TL;DR: In this article, an intelligent query system for processing voiced-based queries is described, where a distributed client-server system, typically implemented on an intranet or over the Internet, accepts a user's queries at his/her computer, PDA or workstation using a speech input interface.
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Review: Situation identification techniques in pervasive computing: A review
TL;DR: A comprehensive analysis of the nature and characteristics of situations is provided, the complexities of situation identification are discussed, and the techniques that are most popularly used in modelling and inferring situations from sensor data are reviewed.
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.