Dynkin's Isomorphism with Sign Structure

Mathematics – Statistics Theory

Scientific paper

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Scientific paper

The Dynkin isomorphism associates a Gaussian field to a Markov chain. These
Gaussian fields can be used as priors for prediction and time series analysis.
Dynkin's construction gives Gaussian fields with all non-negative covariances.
We extend Dynkin's construction (by introducing a sign structure on the Markov
chain) to allow general covariance sign patterns.

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