Representable Markov Categories and Comparison of Statistical Experiments in Categorical Probability — Tobias Fritz, Tomáš Gonda, Paolo Perrone & Eigil Fjeldgren Rischel (2020). arXiv:2010.07416 (v3, PDF); Theoretical Computer Science 961, 113896 (2023).
Defines representable Markov categories (where kernels correspond to deterministic maps into distribution objects), characterises second-order stochastic dominance, and proves a synthetic Blackwell–Sherman–Stein theorem on comparing statistical experiments.
Sources: the paper, arXiv:2010.07416v3, checked against the arXiv listing. Index: Papers.
Key definitions and results
- Representable Markov categories; Blackwell–Sherman–Stein theorem