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Accurate estimation for extra-Poisson variability assuming random effect models

Ricardo Puziol de Oliveira and Jorge Alberto Achcar

Journal of Applied Statistics, 2021, vol. 48, issue 16, 2982-3001

Abstract: In this study, the components of extra-Poisson variability are estimated assuming random effect models under a Bayesian approach. A standard existing methodology to estimate extra-Poisson variability assumes a negative binomial distribution. The obtained results show that using the proposed random effect model it is possible to get more accurate estimates for the extra-Poisson variability components when compared to the use of a negative binomial distribution where it is possible to estimate only one component of extra-Poisson variability. Some illustrative examples are introduced considering real data sets.

Date: 2021
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DOI: 10.1080/02664763.2020.1789075

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