@article{10902/19193,
year = {2020},
url = {http://hdl.handle.net/10902/19193},
abstract = {ABSTRACT: The computation and inversion of the binomial and negative binomial cumulative distribution functions play a key role in many applications. In this paper, we explain how methods used for the central beta distribution function (described in Gil, Segura, and Temme, [Numer. Algorithms, 74 (2017), pp. 77?91]) can be utilized to obtain asymptotic representations of these functions and also for their inversion. The performance of the asymptotic inversion methods is illustrated with numerical examples.},
organization = {Acknowledgments. The authors thank the anonymous referees for their constructive
comments and suggestions. This work was supported by Ministerio de Ciencia e Innovación,
Spain, projects MTM2015-67142-P (MINECO/FEDER, UE) and PGC2018-098279-B-I00
(MCIU/AEI/FEDER, UE). NMT thanks CWI, Amsterdam, for scientific support.},
publisher = {Kent State University},
publisher = {Electronic Transactions on Numerical Analysis V.52  pp 270-280,  2020},
title = {Asymptotic inversion of the binomial and negative binomial cumulative distribution functions},
author = {Gil Gómez, Amparo and Segura Sala, José Javier and Temme, N. M.},
}