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Multivariate p-norm symmetric distributions

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  • Yue, Xinnian
  • Ma, Chunsheng

Abstract

In this paper we present and develop a family of multivariate Weibull distributions, called the multivariate p-norm symmetric distributions, which are extensions of the multivariate 1-norm symmetric distributions studied by Fang et al. Some properties of this family are given. The results in a series of papers by Fang et al. on multivariate 1-norm symmetric distributions are generalized.

Suggested Citation

  • Yue, Xinnian & Ma, Chunsheng, 1995. "Multivariate p-norm symmetric distributions," Statistics & Probability Letters, Elsevier, vol. 24(4), pages 281-288, September.
    • Handle: RePEc:eee:stapro:v:24:y:1995:i:4:p:281-288
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    References listed on IDEAS

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    1. Fang, Kai-Tai & Fang, Bi-Qi, 1988. "Some families of mutivariate symmetric distributions related to exponential distribution," Journal of Multivariate Analysis, Elsevier, vol. 24(1), pages 109-122, January.
    2. Fang, Bi-Qi & Fang, Kai-Tai, 1989. "A characterization of multivariate l1-norm symmetric distributions," Statistics & Probability Letters, Elsevier, vol. 7(4), pages 297-299, February.
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    Cited by:

    1. Jiajuan Liang & Kai-Tai Fang & Fred Hickernell, 2008. "Some necessary uniform tests for spherical symmetry," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(3), pages 679-696, September.

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