Uniform bounds for some expressions involving modified Bessel functions

In this paper, we obtain uniform bounds for a number of expressions that involve integrals of modified Bessel functions. These uniform bounds are motivated by the need to bound such expressions in the study of variance-gamma and product normal approximations via Stein's method.

Bibliographic Details
Main Author: Gaunt, R
Other Authors: Pečarić, J
Format: Journal article
Published: Element 2016
Description
Summary:In this paper, we obtain uniform bounds for a number of expressions that involve integrals of modified Bessel functions. These uniform bounds are motivated by the need to bound such expressions in the study of variance-gamma and product normal approximations via Stein's method.