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Corpus ID: 222379329

Representable Markov Categories and Comparison of Statistical Experiments in Categorical Probability

@article{Fritz2020RepresentableMC,
title={Representable Markov Categories and Comparison of Statistical Experiments in Categorical Probability},
author={T. Fritz and Tom{\'a}{\vs} Gonda and P. Perrone and Eigil Fjeldgren Rischel},
journal={ArXiv},
year={2020},
volume={abs/2010.07416}
}

Markov categories are a recent categorical approach to the mathematical foundations of probability and statistics. Here, this approach is advanced by stating and proving equivalent conditions for second-order stochastic dominance, a widely used way of comparing probability distributions is by their spread. Furthermore, we lay foundation for the theory of comparing statistical experiments within Markov categories by stating and proving the classical Blackwell-Sherman-Stein Theorem. Our version… CONTINUE READING