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 ArticleDOI
Recruitment Market Trend Analysis with Sequential Latent Variable Models
TL;DR: A novel sequential latent variable model, named MTLVM, is developed, which is designed for capturing the sequential dependencies of corporate recruitment states and is able to automatically learn the latent recruitment topics within a Bayesian generative framework.
Proceedings Article
The Composition Effect: Conjuntive or Compensatory? An Analysis of Multi-Skill Math Questions in ITS.
TL;DR: It is confidently reported that system designers can implement the AND gate to represent the composition function quite accurately and the learned function quite nearly converges to the conjunctive function.
Journal ArticleDOI
A Video-Analysis-Based Railway–Road Safety System for Detecting Hazard Situations at Level Crossings
TL;DR: This paper explores the possibility of implementing a smart video surveillance security system that is tuned toward detecting and evaluating abnormal situations induced by users (pedestrians, vehicle drivers, and unattended objects) in LCs.
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Dynamics in the international market segmentation of new product growth
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Parameter estimation for hidden Gibbs chains
W. Qian,D. M. Titterington +1 more
TL;DR: In this paper, a recursion technique is used for maximizing the likelihood function and for carrying out the EM algorithm when only noisy data are available, and asymptotic properties are discussed and simulation results are presented.
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.