## Reading List

McCullagh, “What is a statistical model?”

Morse and Sacksteder - “Statistical isomorphism”

Simpson - “Probability Sheaves and the Giry Monad”

Fritz - “A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics”

Jacobs – “Probabilities, Distribution Monads, and Convex Categories”

Keimel, “The Monad of Probability Measures over Compact Ordered Spaces and its Eilenberg-Moore Algebras”

McCullaugh, Di Nardo, Senato – “Natural Statistics for Spectral Samples”

Perrone, “Categorical Probability and Stochastic Dominance in Metric Spaces” (Pd.D. Thesis)

Giry, “A Categorical Approach to Probability Theory”

Patterson, “The Algebra and Machine Representation of Statistical Models” (Ph.D. Thesis)

Tuyeras, “A Category Theoretical Argument for Causal Inference”

Culbertson and Sturtz, “A Categorical Foundation for Bayesian Probability”

Fong, “Causal Theories: A Categorical Perspective on Bayesian Networks”

Fritz and Perrone, “A Probability Monad as the Colimit of Spaces of Finite Samples”

Fritz and Perrone, “Bimonoidal Structure of Probability Monads”

Fritz, “A Presentation of the Category of Stochastic Matrices”

Jacobs and Furber, “Towards a Categorical Account of Conditional Probability”

Bradley, “At the Interface of Algebra and Statistics” (Ph.D. Thesis)

Bradley, Stoudenmire and Terilla – “Modeling Sequences with Quantum States”

Jacobs, “Categorical Aspects of Parameter Learning”

Jacobs, “Parameters and Parameterization in Specification, using Distributive Categories”

Tuyeres, “Category Theory for Genetics I: Mutations and Sequence Alignments”

Parzygnat, “Inverses, Disintegrations, and Bayesian Inversion in Quantum Markov Categories”

Jacobs, “A Channel-Based Perspective on Conjugate Priors”

### Non-Categorical Papers of Interest

Dawid and Studeny - “Conditional Products - An Alternative Approach to Conditional Independence”

Dawid - “Conditional independence in statistical theory”

Wald - “Contributions to the Theory of Statistical Estimation and Testing Hypotheses”

Huber - “Robust Estimation of a Location Parameter”

Fisher - “Moments and Product Moments of Sampling Distributions”

### Author Publication Sites

Jacobs, Bart

Bradley, Tai-Danae

Patterson, Evan

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