Some extension of Haldane's multivariate median and its application

DOI10.1007/BF02481098zbMath0583.62042MaRDI QIDQ1069237

Takafumi Isogai

Publication date: 1985

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

consistencyasymptotic normalityminimizationconvergence in probabilitymultivariate mediannumerical illustrationmeasures of multivariate skewnesstest for multivariate normalityasymptotic null distributions

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15)

Related Items

Affine equivariant multivariate rank methods ⋮ Nonparametric multivariate descriptive measures based on spatial quantiles ⋮ On the dispersion of multivariate median ⋮ A New Graphical Test for Multivariate Normality ⋮ On the statistical efficiency of robust estimators of multivariate location ⋮ Large sample and robust properties of \(\widetilde {L} ^{2}\)-median ⋮ Equivariance and invariance properties of multivariate quantile and related functions, and the role of standardisation

Uses Software

• AS 47

Cites Work

• Robust m-estimators of multivariate location and scatter
• Note on the median of a multivariate distribution
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