Bayesian Estimation and Prediction for the Generalized Burr Distribution | ||
| المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر | ||
| Article 17, Volume 18, Issue 2, 2017, Pages 1-19 | ||
| Document Type: المقالة الأصلية | ||
| DOI: 10.21608/jsfc.2017.85804 | ||
| Author | ||
| AL-Sayed, N. T EL-Helbawy | ||
| AL-Sayed, N. T., EL-Helbawy, A. A. and AL-Dayian, G. R. Statistics Department, Faculty of Commerce AL-Azhar University (Girls' Branch), Cairo, Egypt | ||
| Abstract | ||
| In this paper, Bayes estimators for the parameters, reliability and hazard rate functions of the generalized Burr distribution are derived. Point and credible interval estimation are considered based on Type II censored data under a symmetric and asymmetric loss functions. Also, Bayesian prediction for a future observation is obtained using two-sample prediction technique. Finally, numerical examples are given via Markov Chain Monte Carlo simulation study and some interesting comparisons are presented to illustrate the theoretical results. Moreover, the results are applied on real data sets. | ||
Highlights | ||
Generalized Burr distribution; loss functions; Bayesian prediction; Bayesian Markov Chain Monte Carlo | ||
| Keywords | ||
| Bayesian Estimation and Prediction; the Generalized Burr Distribution | ||
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