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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Anomaly Detection via Feature-Aided Tracking and Hidden Markov Models
TL;DR: The capabilities of hidden Markov models (HMMs), combined with feature-aided tracking, for the detection of asymmetric threats are illustrated and a transaction-based probabilistic model is proposed to combine hiddenMarkov models and feature- aided tracking.
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Uncovering spatial topology represented by rat hippocampal population neuronal codes
TL;DR: This work attempts to uncover the hidden “spatial topology” represented by the hippocampal population codes by developing a hidden Markov model (HMM) and a variational Bayesian inference algorithm to achieve this computational goal, and applies the analysis to extensive simulation and experimental data.
Journal ArticleDOI
Estimation of infection and recovery rates for highly polymorphic parasites when detectability is imperfect, using hidden Markov models.
TL;DR: This analysis confirmed that the duration of infections with parasites belonging to the MSP-2 FC27 allelic family increased with age, and was confirmed to be conditionally independent given the hidden process, that is, the underlying true presence of the parasite.
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DADA: data assimilation for the detection and attribution of weather and climate-related events
Alexis Hannart,Alberto Carrassi,Marc Bocquet,Michael Ghil,Michael Ghil,Philippe Naveau,Manuel Pulido,Juan Ruiz,Pierre Tandeo +8 more
TL;DR: In this article, the authors describe a new approach that allows for systematic causal attribution of weather and climate-related events, in near-real time, by relying on data and methods that are routinely available when numerically forecasting the weather.
Book ChapterDOI
Hidden Markov Model Modeling of SSH Brute-Force Attacks
TL;DR: This paper proposes a flow time series model of SSH brute-force attacks based on Hidden Markov Models and shows that the model successfully emulates an attacker behavior, generating meaningful flow timeseries.
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.