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

fYear

2011

fDate

12-15 June 2011

Firstpage

244

Lastpage

247

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Reliability, Maintainability and Safety (ICRMS), 2011 9th International Conference on

Conference_Location

Guiyang

Print_ISBN

978-1-61284-667-5

Type

conf

DOI

10.1109/ICRMS.2011.5979276

Filename

5979276

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2682845