A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation

DOI10.1090/mcom/3711zbMath1500.41009arXiv2111.11221OpenAlexW3217651811MaRDI QIDQ5029477

Swaine L. Chen, Nico M. Temme

Publication date: 14 February 2022

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.11221

zbMATH Keywords

asymptotic analysisnumerical algorithmscumulative distribution functionStirling numbers of the first kindevolutionary inference from sequence alignmentspopulation genetics statistics

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Bell and Stirling numbers (11B73) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Uses Software

• DLMF

Cites Work

• Efficient algorithms for the inversion of the cumulative central beta distribution
• Asymptotic inversion of the incomplete beta function
• Asymptotic Estimates of Stirling Numbers
• Asymptotic Methods for Integrals
• Numerical Methods for Special Functions

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