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The generalized hypergeometric family of distributions

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Summary

This is an expository summary of the authors' report on classification of the generalized hypergeometric (GHg for short) family of distributions (Sibuya and Shimizu (1981),Keio Science and Technology Report, to appear). Emphasis is laid on the definition of the distributions based on some conventional rules, and on the complete classification of the multivariate GHg distributions, whose types are found to be rather limited in spite of their quite general definition. Previous classifications and namings are summarized and compared with the new one.

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References

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Author notes

  1. Masaaki Sibuya & Ryoichi Shimizu

    Present address: Keio University, Keio, Japan

Authors and Affiliations

  1. Tokyo Scientific Center, IBM Japan, The Institute of Statistical Mathematics, Tokyo, Japan

    Masaaki Sibuya & Ryoichi Shimizu

Authors
  1. Masaaki Sibuya
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  2. Ryoichi Shimizu
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Sibuya, M., Shimizu, R. The generalized hypergeometric family of distributions. Ann Inst Stat Math 33, 177–190 (1981). https://doi.org/10.1007/BF02480931

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  • DOI: https://doi.org/10.1007/BF02480931

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