D. Richards

collaborators

4 papers

math.CA2025

A Tribute to Richard Askey, and an Expansive View of Some of his Favorite Beta Integrals

Donald Richards

This article represents a personal tribute to Richard Askey together with a new look at some of his favorite integrals, including the Cauchy beta integral. The article also provide…

math.ST2025

Random Linear Modulation with Spherically Symmetric Modulators

Armine Bagyan, Donald Richards

We consider the modulation of data given by random vectors $X_{n} \in R^{d_{n}}$ , $n \in N$ . For each $X_{n}$ , one chooses an independent modulating random vector $Ξ_n…

math.ST2024

Complete Asymptotic Expansions for the Normalizing Constants of High-Dimensional Matrix Bingham and Matrix Langevin Distributions

Armine Bagyan, Donald Richards

For positive integers $d$ and $p$ such that $d \geq p$ , let $R^{d \times p}$ denote the set of $d \times p$ real matrices, $I_{p}$ be the identity matrix of order $p$ , and $V…

stat.ME2024

EM Estimation of the B-Spline Copula with Penalized Pseudo-Likelihood Functions

Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin +1

The B-spline copula function is defined by a linear combination of elements of the normalized B-spline basis. We develop a modified EM algorithm, to maximize the penalized pseudo-l…