Asymptotic inversion of the incomplete beta function

DOI10.1016/0377-0427(92)90244-RzbMath0755.33002MaRDI QIDQ1195414

Nico M. Temme

Publication date: 26 October 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

incomplete beta functionincomplete gamma functionasymptotic expansionsinversion problemasymptoticasymptotic inversion

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation in the complex plane (30E10) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (9)

Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets ⋮ A third-order iterative algorithm for inversion of cumulative central beta distribution ⋮ Asymptotic inversion of the binomial and negative binomial cumulative distribution functions ⋮ Efficient algorithms for the inversion of the cumulative central beta distribution ⋮ The series expansions and Gauss-Legendre rule for computing arbitrary derivatives of the beta-type functions ⋮ An extension of the incomplete beta function for negative integers ⋮ On partial derivatives of the incomplete beta function ⋮ Logarithmic concavity of the inverse incomplete beta function with respect to the first parameter ⋮ A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation

Cites Work

• Incomplete Laplace Integrals: Uniform Asymptotic Expansion with Application to the Incomplete Beta Function
• The Uniform Asymptotic Expansion of a Class of Integrals Related to Cumulative Distribution Functions
• Asymptotic Inversion of Incomplete Gamma Functions
• Unnamed Item

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