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A family of distributions related to the McCullagh family

Author

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  • Seshadri, V.

Abstract

A family of distributions on (-1, 1) is obtained from the hypergeometric functions which bears some resemblance to a similar family introduced recently by McCullagh. This family shares several properties with the McCullagh family. In particular the family possesses a pivot which reduces it to the symmetric beta density. Relations to proper dispersion models and the exactness of the p*-formula are also considered.

Suggested Citation

  • Seshadri, V., 1991. "A family of distributions related to the McCullagh family," Statistics & Probability Letters, Elsevier, vol. 12(5), pages 373-378, November.
    • Handle: RePEc:eee:stapro:v:12:y:1991:i:5:p:373-378
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    Cited by:

    1. Uesu, Kagumi & Shimizu, Kunio & SenGupta, Ashis, 2015. "A possibly asymmetric multivariate generalization of the Möbius distribution for directional data," Journal of Multivariate Analysis, Elsevier, vol. 134(C), pages 146-162.
    2. M. Jones, 2004. "The Möbius distribution on the disc," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(4), pages 733-742, December.

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