A new simple straightforward and practical asymptotic expansion for the incomplete beta function

DOI10.1080/00949658708811031zbMath0633.62023OpenAlexW1995730576MaRDI QIDQ3771398

J. W. R. Day

Publication date: 1987

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949658708811031

zbMATH Keywords

tablesincomplete beta functionincomplete gamma functionasymptotic seriesStudent's distributionpercentage pointsstandard normal variable

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Statistical distribution theory (62E99)

Cites Work

• Gleichmäßige asymptotische Entwicklungen für unvollständige Integrale
• The Uniform Asymptotic Expansion of a Class of Integrals Related to Cumulative Distribution Functions
• A Normal Approximation for Binomial, F, Beta, and Other Common, Related Tail Probabilities, I
• A Normal Approximation for Binomial, F, Beta, and Other Common, Related Tail Probabilities, II

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