5 papers
A probabilistic model of X-ray computed tomography
Tyler Gomez, Jason Swanson, Alexandru Tamasan
We consider a discrete stochastic process, indexed by lines through the unit disk in the plane, which models the observed photon counts in a medical X-ray tomography scan. We first…
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…
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…
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…
Joint convergence along different subsequences of the signed cubic variation of fractional Brownian motion II
David Nualart, Jason Swanson
The purpose of this paper is to provide a complete description the convergence in distribution of two subsequences of the signed cubic variation of the fractional Brownian motion w…