Measure Concentration of Markov Tree Processes

Details Measure Concentration of Markov Tree Processes Measure Concentration of Markov Tree Processes

2006-08-21

arxiv.org/abs/math/0608511v5

Mathematics

Probability

14 pages

Scientific paper

We prove an apparently novel concentration of measure result for Markov tree processes. The bound we derive reduces to the known bounds for Markov processes when the tree is a chain, thus strictly generalizing the known Markov process concentration results. We employ several techniques of potential independent interest, especially for obtaining similar results for more general directed acyclic graphical models.

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