Computation of the regularized incomplete beta function

DOI10.14658/pupj-drna-2023-3-3zbMATH Open1541.33017MaRDI QIDQ6556693

Amparo Gil, Vera N. Egorova, N. M. Temme, Javier Segura

Publication date: 17 June 2024

Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionscontinued fractionsnumerical computationsregularized incomplete beta function

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Cites Work

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• Efficient algorithms for the inversion of the cumulative central beta distribution
• Asymptotic inversion of the incomplete beta function
• Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios
• Numerical Methods for Special Functions
• \textbf{GammaCHI}: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). New version announcement

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