Asymptotic analysis of the normal inverse Gaussian cumulative distribution
Classical Analysis and ODEs
2025-09-09 v1 Probability
Abstract
Using a recently derived integral in terms of elementary functions, we derive new asymptotic expansions of the normal inverse Gaussian cumulative distribution function. One of the asymptotic representations is in terms of the normal Gaussian distribution or complementary error function.
Cite
@article{arxiv.2509.05664,
title = {Asymptotic analysis of the normal inverse Gaussian cumulative distribution},
author = {Nico M. Temme},
journal= {arXiv preprint arXiv:2509.05664},
year = {2025}
}
Comments
12 pages, 1 figure, 1 Maple code