Comptes Rendus
Statistiques
Exact Posterior distribution of risk ratio in the Kumaraswamy–Binomial model
Jose A. A. Andrade1  ; Pushpa Rathie2
1 Department of Statistics and Applied Mathematics, Federal University of Ceara, 60455-670, Fortaleza-Ce, Brazil
2 Department of Statistics, University of Brasilia, 70910-900, Brasilia-DF, Brazil
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1063-1069.

In categorical data analysis, the 2×2 contingency tables are commonly used to assess the association between groups and responses, this is achieved by using some measures of association, such as the contingency coefficient, odds ratio, risk relative, etc. In a Bayesian approach, the risk ratio is modeled according to a Beta-Binomial model, which has exact posterior distribution, due to the conjugacy property of the model. In this work, we provide the exact posterior distribution of the relative risk for the non-conjugate Kumaraswamy–Binomial model. The results are based on special functions and we give exact expressions for the posterior density, moments, and cumulative distribution. An example illustrates the theory.

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DOI : 10.5802/crmath.469
Classification : 62C10
Jose A. A. Andrade 1 ; Pushpa Rathie 2

1 Department of Statistics and Applied Mathematics, Federal University of Ceara, 60455-670, Fortaleza-Ce, Brazil
2 Department of Statistics, University of Brasilia, 70910-900, Brasilia-DF, Brazil
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Exact {Posterior} distribution of risk ratio in the {Kumaraswamy{\textendash}Binomial} model},
     journal = {Comptes Rendus. Math\'ematique},
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Jose A. A. Andrade; Pushpa Rathie. Exact Posterior distribution of risk ratio in the Kumaraswamy–Binomial model. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1063-1069. doi : 10.5802/crmath.469. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.469/

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