Bayesian Inference for Truncated Modified Weibull Distribution | ||||
| المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر | ||||
| Article 7, Volume 22, Issue 1, June 2019, Page 123-151 PDF (13.86 MB) | ||||
| Document Type: المقالة الأصلية | ||||
| DOI: 10.21608/jsfc.2019.247596 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| N. A. Mohammad; A. A. EL-Helbawy* ; G. R. AL-Dayian; G. A. EL Gabrey | ||||
| جامعة الأزهر - طريق النصر - أمام قاعة المؤتمرات - مدينة نصر - القاهرة الرقم البريدي / 11751 | ||||
| Abstract | ||||
| In this paper, Bayes estimators of the unknown parameters, reliability and hazard rate functions for the truncated modified Weibull distribution are obtained. The estimators are derived under squared error loss function as a symmetric loss function and linear exponential loss function as an asymmetric loss function. Also, the two-sample Bayesian prediction for some order statistics in a future random sample drawn from the same population independently is used. Finally, a Monte-Carlo simulation study is carried out to illustrate the theoretical results of the Bayesian estimation and prediction. A real life data are applied to illustrate the results derived. | ||||
| Keywords | ||||
| Double truncated distribution; Bayesian estimation; Bayes predictive; two-sample prediction; Bayesian prediction bounds; Monte-Carlo simulation | ||||
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