Categorical statistics
Categorical probability, while not a large field, is now pretty well established and involves a number of people. The same cannot be said of categorical statistics, which has developed in fits and starts over a long period.
Literature
Statistical models
- Cencov, 1982: Statistical decision rules and optimal inference (doi)
- Cencov was the first to study statistics using category theory, via the “category of statistical decisions” (i.e., the category of Markov kernels)
- McCullagh, 2002: What is a statistical model? (doi)
- Patterson, 2020, PhD thesis: The algebra and machine representation of statistical models (arxiv)