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Six multivariate Zipf distributions and their related properties


  • Yeh, Hsiaw-Chan


This paper discusses six different multivariate Zipf distributions by virtue of having Zipf marginals. Arnold and Laguna (International Studies in Economics, Monograph No. 10 (1977)) proposed four univariate Zipf distributions and Yeh (Technical Report, Department of Finance, National Taiwan University, 1998) studied several properties of these four generalized Zipf distributions. Their results can be extended to the m-variate (m[greater-or-equal, slanted]3) discrete case and thus six different multivariate Zipf distributions are developed. The object of this paper is to study some distribution properties of these six multivariate Zipf distributions.

Suggested Citation

  • Yeh, Hsiaw-Chan, 2002. "Six multivariate Zipf distributions and their related properties," Statistics & Probability Letters, Elsevier, vol. 56(2), pages 131-141, January.
  • Handle: RePEc:eee:stapro:v:56:y:2002:i:2:p:131-141

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    References listed on IDEAS

    1. Yeh, H. C., 1994. "Some Properties of the Homogeneous Multivariate Pareto (IV) Distribution," Journal of Multivariate Analysis, Elsevier, vol. 51(1), pages 46-53, October.
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    Cited by:

    1. Buddana Amrutha & Kozubowski Tomasz J., 2014. "Discrete Pareto Distributions," Stochastics and Quality Control, De Gruyter, vol. 29(2), pages 143-156, December.
    2. Yeh, Hsiaw-Chan, 2004. "Some properties and characterizations for generalized multivariate Pareto distributions," Journal of Multivariate Analysis, Elsevier, vol. 88(1), pages 47-60, January.


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