Bayesian estimation for two parameters of weibull distribution under generalized weighted loss function

• Published in: Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 34; no. 4; pp. 116 - 129
• Main Authors: Khadim, Ibtisam J., Rashid, Huda A.
• Format: Journal Article
• Language: English
• Published: بغداد، العراق جامعة بغداد، كلية التربية ابن الهيثم 20-10-2021; University of Baghdad
• Subjects: weibull distribution; bayesian estimation; exponential prior; generalized weighted loss function; lindley’s approximation; الإحصاء الرياضي; توزيع وايبول; طريقة مونت كارلو
• ISSN: 1609-4042; 2521-3407
• DOI: 10.30526/34.4.2709

In this paper, Bayes estimators for the shape and scale parameters of Weibull distribution have been obtained using the generalized weighted loss function, based on Exponential priors. Lindley's approximation has been used effectively in Bayesian estimation. Based on theMonte Carlo simulation method, those estimators are compared depending on the mean squared errors In this paper, Bayes estimators for the shape and scale parameters of Weibull distribution have been obtained using the generalized weighted loss function, based on Exponential priors. Lindley's approximation has been used effectively in Bayesian estimation. Based on theMonte Carlo simulation method, those estimators are compared depending on the mean squared errors (MSE's).