Linear transformations to symmetry

DOI10.1016/j.jmva.2014.04.018zbMath1288.62082OpenAlexW2050064346MaRDI QIDQ2015065

Nicola M. R. Loperfido

Publication date: 18 June 2014

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2014.04.018

zbMATH Keywords

singular value decompositionsymmetrizationmultivariate analysis of variancefinite mixturesnon-random sampling

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Hypothesis testing in multivariate analysis (62H15) Eigenvalues, singular values, and eigenvectors (15A18) Special matrices (15B99)

Related Items (8)

Linear projections of joint symmetry and independence applied to exact testing treatment effects based on multidimensional outcomes ⋮ A new kurtosis matrix, with statistical applications ⋮ Stein’s Lemma for generalized skew-elliptical random vectors ⋮ Finite mixtures, projection pursuit and tensor rank: a triangulation ⋮ Kurtosis removal for data pre-processing ⋮ The skewness of mean-variance normal mixtures ⋮ Some remarks on Koziol's kurtosis ⋮ Vector-valued skewness for model-based clustering

Cites Work

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• A note on the fourth cumulant of a finite mixture distribution
• Skew-symmetric distributions and Fisher information -- a tale of two densities
• On Fisher information matrices and profile log-likelihood functions in generalized skew-elliptical models
• The commutation matrix: Some properties and applications
• Canonical transformations of skew-normal variates
• A matrix formula for the skewness of maximum likelihood estimators
• Generalized skew-elliptical distributions and their quadratic forms
• MANOVA for large hypothesis degrees of freedom under non-normality
• On the singularity of multivariate skew-symmetric models
• Projection pursuit
• Asymptotic inference for eigenvectors
• An asymptotic expansion for the distribution of Hotelling's \(T^ 2\)-statistic under nonnormality
• Skewed multivariate models related to hidden truncation and/or selective reporting. With discussion and a rejoinder by the authors.
• Additive properties of skew normal random vectors
• Skewness and the linear discriminant function
• Higher order normalizing transformations of asymptotic \(U\)-statistics for removing bias, skewness and kurtosis
• On the multivariate extended skew-normal, normal-exponential, and normal-gamma distributions
• Supervised learning of multivariate skew normal mixture models with missing information
• Exploratory Projection Pursuit
• Weighted Distributions and Size-Biased Sampling with Applications to Wildlife Populations and Human Families
• A Monte Carlo Investigation of the Robustness of Hotelling's One- and Two-Sample T 2 Tests
• The multivariate skew-normal distribution
• Improved Approximation of the Sum of Random Vectors by the Skew Normal Distribution
• Skewness Reduction Approach in Multi-Attribute Process Monitoring
• Efficiency of t-Test and Hotelling's T ²-Test After Box-Cox Transformation
• Measures of multivariate skewness and kurtosis with applications
• TRANSFORMATIONS FOR MULTIVARIATE STATISTICS

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