English

Efficient algorithms for the inversion of the cumulative central beta distribution

Numerical Analysis 2016-05-12 v1 Numerical Analysis Classical Analysis and ODEs

Abstract

Accurate and efficient algorithms for the inversion of the cumulative central beta distribution are described. The algorithms are based on the combination of a fourth-order fixed point method with good non-local convergence properties (the Schwarzian-Newton method), asymptotic inversion methods and sharp bounds in the tails of the distribution function.

Keywords

Cite

@article{arxiv.1605.03503,
  title  = {Efficient algorithms for the inversion of the cumulative central beta distribution},
  author = {A. Gil and J. Segura and N. M. Temme},
  journal= {arXiv preprint arXiv:1605.03503},
  year   = {2016}
}

Comments

To appear in Numerical Algorithms

R2 v1 2026-06-22T13:58:38.498Z