Geometrically convergent sequences of upper and lower bounds on the Wallis ratio and related expressions

DOI10.7153/mia-18-14zbMath1306.33009arXiv1101.3287OpenAlexW2964175499MaRDI QIDQ5174162

Iosif Pinelis

Publication date: 17 February 2015

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3287

zbMATH Keywords

gamma functionupper boundslower boundsdigamma functioninequalities in approximationexact boundsprobability inequalitiesWallis ratioStudent's distributionStudent's statistic

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Approximations to statistical distributions (nonasymptotic) (62E17) Inequalities involving other types of functions (26D07)

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