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Markov Chains

1992
Abstract In Section 7.3, we briefly introduced models for Markov chains in the simple case where there were only two possible responses: an event occurs or not. However, such models have much wider application. In continuous time models, where each subject is in one of several possible states at any given point, they are often called ...
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An EM Algorithm for Markov Modulated Markov Processes

IEEE Transactions on Signal Processing, 2009
An expectation-maximization (EM) algorithm for estimating the parameter of a Markov modulated Markov process in the maximum likelihood sense is developed. This is a doubly stochastic random process with an underlying continuous-time finite-state homogeneous Markov chain.
Yariv Ephraim, William J. J. Roberts
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Markov Chains

2005
Abstract Useful models of the real world have to satisfy two conflicting requirements: they must be sufficiently complicated to describe complex systems, but they must also be sufficiently simple for us to analyse them. This chapter introduces Markov chains, which have successfully modelled a huge range of scientific and social phenomena,
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Markov Chains

1997
Markov chains are central to the understanding of random processes. This is not only because they pervade the applications of random processes, but also because one can calculate explicitly many quantities of interest. This textbook, aimed at advanced undergraduate or MSc students with some background in basic probability theory, focuses on Markov ...
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Entropy Maximization for Markov and Semi-Markov Processes

Methodology And Computing In Applied Probability, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Semi-Markov and Markov Chains

1990
Markovian processes (semi-Markov and Markov) are processes included in a wider class of processes where one has an explicit time dependence (the dynamic aspect) as well as the stochastic character of the states evolution (therefore probabilistic). They are part of dynamic probabilistic systems.
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Strong Markov Properties for Markov Random Fields

Journal of Theoretical Probability, 2000
Markov properties for random fields are established. The author presents a multidimensional extension of stopping times by introducing random membranes. A special case of the random membrane is considered to obtain strong Markov property for a point process under Evstigneev's nonanticipating sufficient conditions.
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Markov Chains

2006
Introduction to Markov chains and their numerical ...
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Markov blanket and Markov boundary of multiple variables

J. Mach. Learn. Res., 2018
Summary: Markov blanket (Mb) and Markov boundary (MB) are two key concepts in Bayesian networks (BNs). In this paper, we study the problem of Mb and MB for multiple variables. First, we show that Mb possesses the additivity property under the local intersection assumption, that is, an Mb of multiple targets can be constructed by simply taking the union
Xu-Qing Liu, Xin-sheng Liu
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Markov properties of a Markov process

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1981
Getoor, R. K., Sharpe, M. J.
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