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Dynkin's Isomorphism with Sign Structure
Kshitij Khare · 2007-12-10 · via math.ST updates on arXiv.org

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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