3 citations · 6 across the 6 of their papers we have counts for
6 papers
Robust Sequential Hypothesis Testing with Generalized Estimating Equations for Incomplete Clustered and Longitudinal Data
Nathan T. Provost, Abdus S. Wahed
Existing sequential generalized estimating equation methodology for longitudinal and group-correlated data focuses on narrow hypotheses concerning treatment efficacy and often make…
Generating Ouroboros Polynomials and Ouroboros Matrices
Nathan Thomas Provost
Ouroboros functions have shown some interesting properties when subjected to conventional operations. The aim of this paper is to continue our investigation and prove some addition…
Ouroboros Functionals, Families of Ouroboros Functions, and Their Relationship to Partial Differential Equations and Probability Theory
Nathan Thomas Provost
Previously, we have introduced a very small number of examples of what we call Ouroboros functions. Using our already established theory of Ouroboros spaces and their functions, we…
On the Philosophical Implications of the Ouroboros Spaces and Their Functions
Nathan Thomas Provost
In this paper, I aim to articulate and investigate the philosophical implications and inherent symbolism surrounding the mathematical properties of Ouroboros spaces and their respe…
Modelling Net Loan Loss with Bayesian and Frequentist Regression Analysis
Nathan Thomas Provost
We create two distinct nonlinear regression models relating net loan loss (as an outcome) to several other financial and sociological quantities. We consider these data for the tim…
Ouroboros Spaces: An Intuitive Approach to Self-Referential Functional Analysis with Applications to Probability Theory
Nathan Thomas Provost
In this paper, we aim to introduce the concept of the Ouroboros space and the complimentary concept of the Ouroboros function by using the Ouroboros equation [1] as our starting po…