Title: Performance of two classes of Bayes-shrinkage estimators of Weibull distribution

Authors: Zuhair A. Al-Hemyari; H.A. Al-Dabag

Addresses: Ministry of Higher Education, B.O. Box 82 Ruwi, Postal Code: 112, Sultanate of Oman ' College of Education, Babil University, Babil, Iraq

Abstract: This paper examines an estimation of the scale parameter of the Weibull two parameters where we believe that there is prior information about the scale parameter. We propose, for this situation, two Bayes-shrinkage and three preliminary test Bayes-shrinkage estimators. The expressions for the bias, mean squared error and relative efficiency are obtained; the properties of these estimators are illustrated both theoretically and numerically and compared to existing estimators.

Keywords: scale parameter; censored data; Weibull failure modelling; Bayes shrinkage estimation; preliminary test; bias ratio; relative efficiency; mean squared error; MSE; Weibull distribution.

DOI: 10.1504/IJDATS.2016.077482

International Journal of Data Analysis Techniques and Strategies, 2016 Vol.8 No.2, pp.161 - 182

Published online: 04 Jul 2016 *

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