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A new bivariate binomial distribution

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  • Biswas, Atanu
  • Hwang, Jing-Shiang

Abstract

To bring correlation between binomial random variables is an important statistical problem with a lot of theoretical and practical applications. In this paper we provide a new formulation of bivariate binomial distribution in the sense that marginally each of the two random variables has a binomial distribution and they have some non-zero correlation in the joint distribution. A 2x2 contingency table is the immediate application of the proposed model.

Suggested Citation

  • Biswas, Atanu & Hwang, Jing-Shiang, 2002. "A new bivariate binomial distribution," Statistics & Probability Letters, Elsevier, vol. 60(2), pages 231-240, November.
    • Handle: RePEc:eee:stapro:v:60:y:2002:i:2:p:231-240
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    References listed on IDEAS

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    1. Kocherlakota, S., 1989. "A note on the bivariate binomial distribution," Statistics & Probability Letters, Elsevier, vol. 8(1), pages 21-24, May.
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    Cited by:

    1. Jing-Shiang Hwang & Atanu Biswas, 2008. "Odds ratio for a single 2 × 2 table with correlated binomials for two margins," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 17(4), pages 483-497, October.
    2. Yu, Jihnhee & Kepner, James L., 2011. "On the maximum total sample size of a group sequential test about bivariate binomial proportions," Statistics & Probability Letters, Elsevier, vol. 81(7), pages 829-835, July.
    3. Ardo Hout & Graciela Muniz-Terrera, 2019. "Hidden three-state survival model for bivariate longitudinal count data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 25(3), pages 529-545, July.
    4. Ryan H. L. Ip & K. Y. K. Wu, 2024. "A mixture distribution for modelling bivariate ordinal data," Statistical Papers, Springer, vol. 65(7), pages 4453-4488, September.
    5. Pierre, Jean-Sébastien, 2023. "Ecological forecasting models: Accuracy versus decisional quality," Ecological Modelling, Elsevier, vol. 482(C).
    6. Yu, Jihnhee & Kepner, James L. & Bundy, Brian N., 2007. "Exact power calculations for detecting hypotheses involving two correlated binary outcomes," Statistics & Probability Letters, Elsevier, vol. 77(3), pages 288-294, February.
    7. Jing-Er Chiu & Tsen-I Kuo, 2010. "Control charts for fraction nonconforming in a bivariate binomial process," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(10), pages 1717-1728.
    8. Uttam Bandyopadhyay & Joydeep Basu & Ganesh Dutta, 2015. "Crossover design in clinical trials for binary response," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(10), pages 2100-2114, October.
    9. Scotto, Manuel G. & Weiß, Christian H. & Silva, Maria Eduarda & Pereira, Isabel, 2014. "Bivariate binomial autoregressive models," Journal of Multivariate Analysis, Elsevier, vol. 125(C), pages 233-251.

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