The Algebra of Reversible Markov Chains

Details The Algebra of Reversible Markov Chains The Algebra of Reversible Markov Chains

2010-07-24

arxiv.org/abs/1007.4282v2

Mathematics

Statistics Theory

Scientific paper

For a Markov chain both the detailed balance condition and the cycle Kolmogorov condition are algebraic binomials. This remark suggests to study reversible Markov chains with the tool of Algebraic Statistics, such as toric statistical models. One of the results of this study in an algebraic parameterization of reversible Markov transitions and their invariant probability.

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