Tags:domain theoretic, polish space, random variables, scott continuous map, Skorohod's Theorem, standard probability space and stochastic process theory
Abstract:
We outline a domain-theoretic version of Skorohod's Theorem, a basic result in stochastic process theory. We state an analog of the theorem for domains, outline the proof of this result, and show how it implies the original result of Skorohod. We also propose several applications for the results.