5 papers
Random Linear Modulation with Spherically Symmetric Modulators
Armine Bagyan, Donald Richards
We consider the modulation of data given by random vectors , . For each , one chooses an independent modulating random vector $Ξ_n…
Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions
Armine Bagyan, Donald Richards
For positive integers and such that , let denote the set of real matrices, be the identity matrix of order , and $V…
Complete Asymptotic Expansions and the High-Dimensional Bingham Distributions
Armine Bagyan, Donald Richards
For , let be a random vector having a Bingham distribution on , the unit sphere centered at the origin in , and let denote the symmetric m…
A Continuous-Time Markov Chain Model for the Spread of COVID-19
Armine Bagyan, Donald Richards
Since late 2019 the novel coronavirus, also known as COVID-19, has caused a pandemic that persists. This paper shows how a continuous-time Markov chain model for the spread of COVI…
Hoffmann-Jørgensen Inequalities for Random Walks on the Cone of Positive Definite Matrices
Armine Bagyan, Donald Richards
We consider random walks on the cone of positive definite matrices, where the underlying random matrices have orthogonally invariant distributions on the cone and the…