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.
Mohammad, N. A., EL-Helbawy, A. A., AL-Dayian, G. R., & EL Gabrey, G. A.. (2019). Bayesian Inference for Truncated Modified Weibull Distribution. المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 22(1), 123-151. doi: 10.21608/jsfc.2019.247596
MLA
N. A. Mohammad; A. A. EL-Helbawy; G. R. AL-Dayian; G. A. EL Gabrey. "Bayesian Inference for Truncated Modified Weibull Distribution". المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 22, 1, 2019, 123-151. doi: 10.21608/jsfc.2019.247596
HARVARD
Mohammad, N. A., EL-Helbawy, A. A., AL-Dayian, G. R., EL Gabrey, G. A.. (2019). 'Bayesian Inference for Truncated Modified Weibull Distribution', المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 22(1), pp. 123-151. doi: 10.21608/jsfc.2019.247596
VANCOUVER
Mohammad, N. A., EL-Helbawy, A. A., AL-Dayian, G. R., EL Gabrey, G. A.. Bayesian Inference for Truncated Modified Weibull Distribution. المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 2019; 22(1): 123-151. doi: 10.21608/jsfc.2019.247596
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