Asymptotic inversion of the binomial and negative binomial cumulative distribution functions

DOI10.1553/ETNA_VOL52S270zbMath1450.33007arXiv2001.03953OpenAlexW3028722453MaRDI QIDQ2208921

Javier Segura, Amparo Gil, Nico M. Temme

Publication date: 28 October 2020

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03953

zbMATH Keywords

asymptotic representationbinomial cumulative distribution functionasymptotic inversion methodsnegative binomial cumulative distribution function

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (1)

A new asymptotic representation and inversion method for the Student's t distribution

Uses Software

• GammaCHI

Cites Work

• \texttt{GammaCHI}: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral)
• Efficient algorithms for the inversion of the cumulative central beta distribution
• Asymptotic inversion of the incomplete beta function
• Sample size calculations for the differential expression analysis of RNA-seq data using a negative binomial regression model
• The Uniform Asymptotic Expansion of a Class of Integrals Related to Cumulative Distribution Functions

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