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The two-dimensional beta binomial distribution

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  • Bibby, Bo Martin
  • Væth, Michael

Abstract

We introduce the two-dimensional beta binomial distribution to describe correlated counts data. Properties of the distribution are explored and in an example the distribution is used to describe a set of orthodontic data.

Suggested Citation

  • Bibby, Bo Martin & Væth, Michael, 2011. "The two-dimensional beta binomial distribution," Statistics & Probability Letters, Elsevier, vol. 81(7), pages 884-891, July.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:7:p:884-891
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    References listed on IDEAS

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    1. Goro Ishii & Reiko Hayakawa, 1960. "On the compound binomial distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 12(1), pages 69-80, February.
    2. Olkin, Ingram & Liu, Ruixue, 2003. "A bivariate beta distribution," Statistics & Probability Letters, Elsevier, vol. 62(4), pages 407-412, May.
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    Cited by:

    1. David Peter Michael Scollnik, 2017. "Bayesian Inference for Three Bivariate Beta Binomial Models," The Open Statistics and Probability Journal, Bentham Open, vol. 8(1), pages 27-38, October.
    2. Olkin, Ingram & Trikalinos, Thomas A., 2015. "Constructions for a bivariate beta distribution," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 54-60.

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