A necessary power divergence-type family of tests for testing elliptical symmetry

DOI10.1080/00949655.2012.694437zbMath1453.62519OpenAlexW2091046147MaRDI QIDQ5219207

Nirian Martín, Apostolos Batsidis, Leandro Pardo, Konstantinos G. Zografos

Publication date: 9 March 2020

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949655.2012.694437

zbMATH Keywords

Monte Carlo studyspherical symmetrypower divergenceelliptical symmetry

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15)

Related Items (5)

Goodness-of-fit tests for centralized Wishart processes ⋮ An empirical likelihood ratio-based omnibus test for normality with an adjustment for symmetric alternatives ⋮ More good news on the HKM test for multivariate reflected symmetry about an unknown centre ⋮ Tests of fit for a lognormal distribution ⋮ Hypothesis testing for the population mean and variance based on r-size biased samples

Uses Software

• QRM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A necessary test of fit of specific elliptical distributions based on an estimator of Song's measure
• A statistic for testing the null hypothesis of elliptical symmetry
• A test for elliptical symmetry
• Testing for ellipsoidal symmetry: a comparison study
• Some necessary uniform tests for spherical symmetry
• Goodness-of-fit statistics for discrete multivariate data
• Testing for ellipsoidal symmetry of a multivariate density
• A projection NT-type test of elliptical symmetry based on the skewness and kurtosis measures
• Discriminant analysis under elliptical populations
• An asymptotic expansion for the distribution of Hotelling's \(T^ 2\)-statistic under nonnormality
• Testing for elliptical symmetry in covariance matrix based analyses.
• Conditional tests for elliptical symmetry
• A necessary test of goodness of fit for sphericity
• On Mardia's and Song's measures of kurtosis in elliptical distributions
• Some Applications of Läuter's Technique in Tests for Spherical Symmetry
• Divergence statistics: sampling properties and multinomial goodness of fit and divergence tests
• Some Techniques for Assessing Multivarate Normality Based on the Shapiro- Wilk W
• Multivariate extension of chi-squared univariate normality test
• Student's t-Test Under Symmetry Conditions

This page was built for publication: A necessary power divergence-type family of tests for testing elliptical symmetry