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On characterizations of beta and gamma distributions

Author

Listed:
  • Yeo, G. F.
  • Milne, R. K.

Abstract

Characterizations based on a product of independent random variables are presented for gamma and beta distributions, thereby extending recent results due to Kotz and Steutel and the authors. Moment methods are useful in some proofs. Links are made to multivariate analogues.

Suggested Citation

  • Yeo, G. F. & Milne, R. K., 1991. "On characterizations of beta and gamma distributions," Statistics & Probability Letters, Elsevier, vol. 11(3), pages 239-242, March.
    • Handle: RePEc:eee:stapro:v:11:y:1991:i:3:p:239-242
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    Cited by:

    1. Ludwig Baringhaus & Rudolf Grübel, 1997. "On a Class of Characterization Problems for Random Convex Combinations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(3), pages 555-567, September.
    2. Oncel, Sevgi Yurt & Ahsanullah, Mohammad & Aliev, Fazil A. & Aygun, Funda, 2005. "Switching record and order statistics via random contractions," Statistics & Probability Letters, Elsevier, vol. 73(3), pages 207-217, July.
    3. Moreno Bevilacqua & Christian Caamaño‐Carrillo & Reinaldo B. Arellano‐Valle & Víctor Morales‐Oñate, 2021. "Non‐Gaussian geostatistical modeling using (skew) t processes," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 48(1), pages 212-245, March.

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