The comparison between the MLE and standard bayes estimators of the reliability function of exponential distribution

• Published in: Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 32; no. 1; pp. 101 - 109
• Main Authors: Ali, Muhammad Jamil, Gurgis, Hazim Mansur
• Format: Journal Article
• Language: English
• Published: Baghdad, Iraq University of Baghdad, College of Education for Pure Science / Ibn al-Haitham 2019; University of Baghdad
• Subjects: MLE, standard Bayes estimator, loss function, IMSE; التوزيع; الرياضيات; النماذج الرياضية; طريقة مونت كارلو
• ISSN: 1609-4042; 2521-3407
• DOI: 10.30526/32.1.1885

In this paper, a Monte Carlo simulation technique is used to compare the performance of MLE and the standard Bayes estimators of the reliability function of the one parameter exponential distribution. Two types of loss functions are adopted, namely, squared error loss function (SELF) and modified square error loss function (MSELF) with informative and noninformative prior. The criterion integrated mean square error (IMSE) is employed to assess the performance of such estimators.