A Study of the Accuracy of Some Approximations for t, χ 2 , and F Tail Probabilities

DOI10.2307/2286652zbMath0399.62019OpenAlexW4229556965MaRDI QIDQ4184071

Robert F. Ling

Publication date: 1978

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2286652

zbMATH Keywords

DistributionChi Square DistributionF DistributionMaximum Absolute ErrorNumerical AccuracyTail Probability Approximations

Mathematics Subject Classification ID

Statistical distribution theory (62E99)

Related Items (7)

Lower Bounds for Percentiles of Pivots from a Sample Mean Standardized by S, the GMD, the MAD, or the Range in a Normal Distribution and Miscellany with Data Analysis ⋮ On a sharper lower bound for a percentile of a Student's \(t\) distribution with an application ⋮ An Approximate Normalizing Power Transformation for theFDistribution ⋮ A normal approximation for the chi-square distribution ⋮ A simple approximation relation between the symmetric generalized logistic and the students t distributions ⋮ Power transformation of the F distribution and a power normal family ⋮ The Poisson and chi-squared approximations as compared with the true upper-tail probability of Pearson's \(X^ 2\) for equiprobable multinomials

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