Correlation is first order independent of transformation

DOI10.1007/S00362-012-0442-5zbMath1364.62138OpenAlexW2026736592MaRDI QIDQ1956337

Christopher S. Withers, Saralees Nadarajah

Publication date: 13 June 2013

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-012-0442-5

zbMATH Keywords

correlationvariancetransformationcovariance

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Measures of association (correlation, canonical correlation, etc.) (62H20) Nonparametric tolerance and confidence regions (62G15)

Uses Software

• LOWESS

Cites Work

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• Box-Cox transformation for spatial linear models: a study on lattice data
• Expansions for the distribution and quantiles of a regular functional of the empirical distribution with applications to nonparametric confidence intervals
• Estimation in singular partitioned, reduced or transformed linear models
• Nonparametric confidence intervals for functions of several distributions
• The distribution and cumulants of a studentised statistic
• Robust Locally Weighted Regression and Smoothing Scatterplots

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