Title :
Reliability estimations of Burr-XII distribution under entropy loss function
Author :
Wei, Jinfen ; Song, Baowei ; Yan, Weian ; Mao, Zhaoyong
Author_Institution :
Sch. of Marine, Northwestern Polytech. Univ., Xi´´an, China
Abstract :
Under the entropy loss function, the minimum risk equivariant estimation and E-Bayes estimation are obtained using conjugate prior. We also prove minimum risk equivariant estimation is also the minimax estimation. The MSE of the estimations are further compared based on Monte Carlo simulation. According to these comparisons, it is suggested that the accuracy of E-Bayes estimation is the highest.
Keywords :
Bayes methods; mean square error methods; minimax techniques; reliability theory; statistical distributions; Burr-XII distribution; E-Bayes estimation; Monte Carlo simulation; entropy loss function; minimax estimation; reliability estimations; risk equivariant estimation; Accuracy; Computational modeling; Entropy; Estimation; Mathematical model; Reliability; Shape; Burr-XII distribution; E-Bayes estimation; Entropy loss function; minimax estimation; the minimum risk equivariant estimation;
Conference_Titel :
Reliability, Maintainability and Safety (ICRMS), 2011 9th International Conference on
Conference_Location :
Guiyang
Print_ISBN :
978-1-61284-667-5
DOI :
10.1109/ICRMS.2011.5979276
