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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Journal ArticleDOI
Maximum-likelihood estimation for mixture multivariate stochastic observations of Markov chains
TL;DR: The scope of the original reestimation algorithm is expanded and the previous assumptions of log concavity or ellipsoidal symmetry are obviated, thereby enhancing the modeling capability of the technique.
Journal ArticleDOI
On Inferring Application Protocol Behaviors in Encrypted Network Traffic
TL;DR: This paper presents what it believes to be the first exploratory look at protocol identification in encrypted tunnels which carry traffic from many TCP connections simultaneously, using only post-encryption observable features, and investigates the extent to which common application protocols can be identified using only the features that remain intact after encryption.
Proceedings ArticleDOI
Linear predictive hidden Markov models and the speech signal
TL;DR: A method for modelling time series is presented and then applied to the analysis of the speech signal, resulting in a theorem that provides a computationally efficient iterative scheme to improve the model.
Journal ArticleDOI
Maximum likelihood estimation for multivariate mixture observations of markov chains (Corresp.)
TL;DR: To use probabilistic functions of a Markov chain to model certain parameterizations of the speech signal, an estimation technique of Liporace is extended to the eases of multivariate mixtures, such as Gaussian sums, and products of mixtures.
Journal ArticleDOI
Practical data compression in wireless sensor networks: A survey
TL;DR: A data compression scheme is one that can be used to reduce transmitted data over wireless channels, which leads to a reduction in the required inter-node communication, which is the main power consumer in wireless sensor networks.
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.