More good news on the HKM test for multivariate reflected symmetry about an unknown centre
DOI10.1007/s10463-019-00707-5zbMath1442.62127arXiv1807.06367OpenAlexW2913774204MaRDI QIDQ2183765
Publication date: 27 May 2020
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.06367
elliptical symmetryaffine invariancefixed alternativesweighted \(L^2\)-statisticHenze, Klar, Meintanis (HKM) testtest for reflected symmetry
Density estimation (62G07) Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Hypothesis testing in multivariate analysis (62H15) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)
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Cites Work
- Unnamed Item
- Depth-based runs tests for bivariate central symmetry
- Measuring asymmetry and testing symmetry
- Testing for symmetry in multivariate distributions
- A simple nonparametric test for bivariate symmetry about a line
- Testing for central symmetry
- Limit distributions for Mardia's measure of multivariate skewness
- Permutation tests for reflected symmetry
- On nonparametric tests for symmetry in \(R^ m\)
- A new approach to the BHEP tests for multivariate normality
- Extreme smoothing and testing for multivariate normality
- Limit laws for multivariate skewness in the sense of Móri, Rohatgi and Székely
- Invariant tests for symmetry about an unspecified point based on the empirical characteristic function.
- Characterization of diagonal symmetry: location unknown, and a test based on allied U-processes
- The limit distribution of weighted \(L^2\)-goodness-of-fit statistics under fixed alternatives, with applications
- Global power functions of goodness of fit tests.
- The control of the false discovery rate in multiple testing under dependency.
- Invariant tests for multivariate normality: A critical review
- Testing for elliptical symmetry in covariance matrix based analyses.
- Testing multivariate symmetry
- On consistent nonparametric statistical tests of symmetry hypotheses
- The non-singularity of generalized sample covariance matrices
- Some Techniques for Assessing Multivarate Normality Based on the Shapiro- Wilk W
- A family of minimax rates for density estimators in continuous time
- A necessary power divergence-type family of tests for testing elliptical symmetry
- Simple optimal tests for circular reflective symmetry about a specified median direction
- Adaptive Smoothing and Density-Based Tests of Multivariate Normality
- Measures of multivariate skewness and kurtosis with applications
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