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The Bayesian restricted Conway–Maxwell-Binomial model to control dispersion in count data

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  • Rodrigues, Josemar
  • Bazán, Jorge L.
  • Suzuki, Adriano K.
  • Balakrishnan, Narayanaswamy

Abstract

This paper deals with a Bayesian restricted version of the Conway–Maxwell-Binomial (CMB) distribution introduced by Shmueli et al. (2005) which is also the Correlated Binomial distribution (CB) discussed in Kupper and Haseman(1978). Two illustrative examples based on a real data are considered.

Suggested Citation

  • Rodrigues, Josemar & Bazán, Jorge L. & Suzuki, Adriano K. & Balakrishnan, Narayanaswamy, 2016. "The Bayesian restricted Conway–Maxwell-Binomial model to control dispersion in count data," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 281-288.
    • Handle: RePEc:eee:stapro:v:119:y:2016:i:c:p:281-288
    DOI: 10.1016/j.spl.2016.08.020
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    References listed on IDEAS

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    1. Yu, Chang & Zelterman, Daniel, 2002. "Sums of dependent Bernoulli random variables and disease clustering," Statistics & Probability Letters, Elsevier, vol. 57(4), pages 363-373, May.
    2. Galit Shmueli & Thomas P. Minka & Joseph B. Kadane & Sharad Borle & Peter Boatwright, 2005. "A useful distribution for fitting discrete data: revival of the Conway–Maxwell–Poisson distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 54(1), pages 127-142, January.
    3. David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika Van Der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639, October.
    4. Borges, Patrick & Rodrigues, Josemar & Balakrishnan, Narayanaswamy & Bazán, Jorge, 2014. "A COM–Poisson type generalization of the binomial distribution and its properties and applications," Statistics & Probability Letters, Elsevier, vol. 87(C), pages 158-166.
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