DISTRIBUTION OF THE SAMPLE CORRELATION COEFFICIENT FOR NONNORMAL POPULATIONS

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DOI10.5183/jjscs1988.5.1zbMath0769.62015OpenAlexW2078539742MaRDI QIDQ4694414

Shigakazu Nakagawa, Naoto Niki

Publication date: 30 August 1993

Published in: Journal of the Japanese Society of Computational Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5183/jjscs1988.5.1

zbMATH Keywords

percentiles symmetric function moment computer algebra correlation coefficient delta method Edgeworth expansion bivariate populations probability integrals fourth order approximations approximate cumulants Cornish-Fisher inverse expansion finite cumulants product cumulants of total order eight

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (3)

Computer algebra application to the distribution of sample correlation coefficient ⋮ Calculation of a formal moment generating function by using a differential operator ⋮ An asymptotic representation of a ratio of two statistics and its applications

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