A normal approximation for the chi-square distribution

DOI10.1016/j.csda.2004.04.001zbMath1429.62063OpenAlexW1982878323MaRDI QIDQ957159

Luisa Canal

Publication date: 26 November 2008

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11572/72129

zbMATH Keywords

chi-square distributionnormal approximationpower transformationmaximum absolute error

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (3)

Refined normal approximations for the central and noncentral chi-square distributions and some applications ⋮ Test of independence for functional data ⋮ Robust-efficient fitting of mixed linear models: methodology and theory

Uses Software

• Mathematica

Cites Work

• An approximation to the \(F\) distribution using the chi-square distribution
• Efficient computation of the distribution functions of student'stchi-squared andfto moderate accuracy
• ON THE FOURTH ROOT TRANSFORMATION OF CHI-SQUARE
• A Study of the Accuracy of Some Approximations for t, χ 2 , and F Tail Probabilities
• A Normal Approximation for Binomial, F, Beta, and Other Common, Related Tail Probabilities, I
• Approximate Formulas for the Percentage Points and Normalization of $t$ and $x^2$
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