Empirical Bayesian analysis of the Poisson intervention and incidence parameters

Alfred A. Bartolucci, Karan P. Singh and Ramalingham Shanmugam

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 64, issue 3, 393-399

Abstract: In some population the AIDS/HIV incidence rate θ∈(0,∞) is altered in the middle of a data collection period due to preventive treatments imposed by the health service agencies. The intervened Poisson (IP) model in [Comput. Programs Biomed. 17 (1983) 89; Biometrics 48 (1985) 559] was introduced which is appropriate to analyze data of this type. However, the classical approach leading to the maximum likelihood (ML), moment (M) or minimum variance unbiased (MVU) estimator of θ is mathematically formidable and practically inconvenient as far as sequentially updating the estimate when new data arrive. Previous subjective Bayesian work has been done to overcome these issues. Hence, there is a need to devise a more practical empirical Bayesian technique to estimate θ, and it is done in this article. The results are illustrated using a data on AIDS/HIV incidence in the state of Alabama. Advantages in the Bayesian intervened approach are cited.

Keywords: Bayesian; Empirical; Poisson; Intervened; Incidence (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:64:y:2004:i:3:p:393-399

DOI: 10.1016/S0378-4754(03)00105-8

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