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math.ST2025
Conditional distributions for the nested Dirichlet process via sequential imputation
Evan Donald, Jason Swanson
We consider an array of random variables, taking values in a complete and separable metric space, that exhibits a kind of symmetry which we call row exchangeability. Given such an…
math.PR2025
An Aldous-Hoover type representation for row exchangeable arrays
Evan Donald, Jason Swanson
In an array of random variables, each row can be regarded as a single, sequence-valued random variable. In this way, the array is seen as a sequence of sequences. Such an array is…
math.PR2025
The Principles of Probability: From Formal Logic to Measure Theory to the Principle of Indifference
Jason Swanson
In this work, we develop a formal system of inductive logic. It uses an infinitary language that allows for countable conjunctions and disjunctions. It is based on a set of nine sy…