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Bayesian Shrinkage Estimator of Burr XII Distribution

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  • N. J. Hassan
  • J. Mahdi Hadad
  • A. Hawad Nasar

Abstract

In this paper, we derive the generalized Bayesian shrinkage estimator of parameter of Burr XII distribution under three loss functions: squared error, LINEX, and weighted balance loss functions. Therefore, we obtain three generalized Bayesian shrinkage estimators (GBSEs). In this approach, we find the posterior risk function (PRF) of the generalized Bayesian shrinkage estimator (GBSE) with respect to each loss function. The constant formula of GBSE is computed by minimizing the PRF. In special cases, we derive two new GBSEs under the weighted loss function. Finally, we give our conclusion.

Suggested Citation

  • N. J. Hassan & J. Mahdi Hadad & A. Hawad Nasar, 2020. "Bayesian Shrinkage Estimator of Burr XII Distribution," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2020, pages 1-6, June.
    • Handle: RePEc:hin:jijmms:7953098
    DOI: 10.1155/2020/7953098
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    Cited by:

    1. Alexey Kudryavtsev & Oleg Shestakov, 2022. "The Estimators of the Bent, Shape and Scale Parameters of the Gamma-Exponential Distribution and Their Asymptotic Normality," Mathematics, MDPI, vol. 10(4), pages 1-17, February.

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