Journal of Probability and Statistics
Volume 2013 (2013), Article ID 890914, 8 pages
Research Article

Bayesian Estimation of the Scale Parameter of Inverse Weibull Distribution under the Asymmetric Loss Functions

Department of Statistics, Faculty of Sciences, Golestan University, Gorgan 49138-15739, Golestan, Iran

Received 8 April 2013; Accepted 9 June 2013

Academic Editor: Aera Thavaneswaran

Copyright © 2013 Farhad Yahgmaei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper proposes different methods of estimating the scale parameter in the inverse Weibull distribution (IWD). Specifically, the maximum likelihood estimator of the scale parameter in IWD is introduced. We then derived the Bayes estimators for the scale parameter in IWD by considering quasi, gamma, and uniform priors distributions under the square error, entropy, and precautionary loss functions. Finally, the different proposed estimators have been compared by the extensive simulation studies in corresponding the mean square errors and the evolution of risk functions.