Improving the Performance of Bayesian Estimation Methods in Estimations of Shift Point and Comparison with Maximum Likelihood Estimation Approach
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJE-27-6_010
تاریخ نمایه سازی: 17 خرداد 1393
Abstract:
A Bayesian analysis is used to detect a change-point in a sequence of independent random variables from exponential distributions. The Bayes estimators are derived for change point, the rate of exponentialdistribution before shift and the rate of exponential distribution after shift. Likelihood, Prior, Posterior andMarginal distribution of the change point is derived. Also, maximum likelihood estimation (MLE) method is used for determining change point. The sensitivity analysis of Bayes estimators are performed by simulation. Also, we suggest a new approach to achieve more precise results by determining correctchoice for parameters of prior distribution and compared the approach with existing methods. The result ofsimulation shows good performance of proposed approach in comparison with existing methods. Also, a sensitivity analysis on the location of the shift is performed
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Authors
ms Fallahnezhad
Industrial Engineering Department, University of Yazd, Yazd, Iran
b Rasti
Industrial Engineering Department, University of Yazd, Yazd, Iran
mh Abooie
Industrial Engineering Department, University of Yazd, Yazd, Iran