An accurate and efficient algorithm for the inversion of the cumulative central beta distribution ratios is described. The algorithm is based on the combination of the Schwarzian-Newton method and asymptotic inversion methods when the parameters are large.

Additional Metadata
Keywords incomplete beta function, inversion methods
MSC Computation of special functions, construction of tables (msc 65D20)
THEME Software (theme 1)
Journal Numerical Algorithms
Note Accepted for publication; DOI: 10.1007/s11075-016-0139-2
Citation
Gil, A, Segura, J, & Temme, N.M. (2017). Efficient algorithms for the inversion of the cumulative central beta distribution. Numerical Algorithms, 74(1), 77–91.