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Multivariate kurtosis in L1-sense

Author

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  • Averous, Jean
  • Meste, Michel

Abstract

The quantile-based approach of univariate kurtosis is extended to multivariate distributions. This extension uses the family of median balls that generalize the interquantile intervals. A spread function is introduced, allowing orderings and measures of kurtosis relative to the spartial median to be defined.

Suggested Citation

  • Averous, Jean & Meste, Michel, 1994. "Multivariate kurtosis in L1-sense," Statistics & Probability Letters, Elsevier, vol. 19(4), pages 281-284, March.
  • Handle: RePEc:eee:stapro:v:19:y:1994:i:4:p:281-284
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    Cited by:

    1. Wang, Jin, 2009. "A family of kurtosis orderings for multivariate distributions," Journal of Multivariate Analysis, Elsevier, vol. 100(3), pages 509-517, March.
    2. Wang, Jin & Zhou, Weihua, 2012. "A generalized multivariate kurtosis ordering and its applications," Journal of Multivariate Analysis, Elsevier, vol. 107(C), pages 169-180.
    3. Jin Wang & Weihua Zhou, 2015. "Effect of kurtosis on efficiency of some multivariate medians," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 27(3), pages 331-348, September.

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