Assessing multivariate normality: a compendium

DOI10.1080/03610928608829277zbMath0603.62056OpenAlexW2049663813MaRDI QIDQ3740052

James A. Koziol

Publication date: 1986

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928608829277

zbMATH Keywords

consistencykurtosisskewnessopen problemsradiiexploratory data analysisgoodness of fitanglesinvariance considerationsShapiro-Wilkordering principlesassessing multivariate normalityconfirmatory data analysis

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Statistical distribution theory (62E99)

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Cites Work

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• On the supremum of a certain Gaussian process
• Detection of multivariate normal outliers
• Asymptotic results for goodness-of-fit statistics with unknown parameters
• Asymptotic distributions for quadratic forms with applications to tests of fit
• Weak convergence of the sample distribution function when parameters are estimated
• On Tests of Normality and Other Tests of Goodness of Fit Based on Distance Methods
• Some Techniques for Assessing Multivarate Normality Based on the Shapiro- Wilk W
• Two statistics for testing for multivariate normality
• A class of invariant procedures for assessing multivariate normality
• An Extension of Shapiro and Wilk's W Test for Normality to Large Samples
• Tests for departure from normality: Comparison of powers
• Testing multivariate normality
• Plotting squared radii
• Measures of multivariate skewness and kurtosis with applications
• Functions of Order Statistics
• Linear Statistical Inference and its Applications
• The Cramer-Smirnov Test in the Parametric Case

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