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Simple functions of independent beta random variables that follow beta distributions

Author

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  • Jones, M.C.
  • Balakrishnan, N.

Abstract

It may be thought that the topic of the title of this paper would have been exhausted by now but apparently not. In this note, we lay out both existing and unfamiliar simple functions of independent beta-distributed random variables that themselves follow beta distributions, and explore a number of extensions, generalizations and examples thereof.

Suggested Citation

  • Jones, M.C. & Balakrishnan, N., 2021. "Simple functions of independent beta random variables that follow beta distributions," Statistics & Probability Letters, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:stapro:v:170:y:2021:i:c:s016771522030314x
    DOI: 10.1016/j.spl.2020.109011
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    References listed on IDEAS

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    1. F.W. Steutel, 1988. "Note on discrete a‐unimodality," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 42(2), pages 137-140, June.
    2. Tomasz J. Kozubowski & Krzysztof Podgórski, 2018. "A generalized Sibuya distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 70(4), pages 855-887, August.
    3. Krysicki, Wlodzimierz, 1999. "On some new properties of the beta distribution," Statistics & Probability Letters, Elsevier, vol. 42(2), pages 131-137, April.
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    Citations

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    Cited by:

    1. Daya K. Nagar & Alejandro Roldán-Correa & Saralees Nadarajah, 2023. "Jones-Balakrishnan Property for Matrix Variate Beta Distributions," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(2), pages 1489-1509, August.
    2. Balakrishnan, N. & Jones, M.C., 2022. "Closure of beta and Dirichlet distributions under discrete mixing," Statistics & Probability Letters, Elsevier, vol. 188(C).
    3. Jones, M.C., 2022. "Duals of multiplicative relationships involving beta and gamma random variables," Statistics & Probability Letters, Elsevier, vol. 191(C).

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