PARAMETER ESTIMATION OF GENERALIZED INVERSE GENERALIZED WEIBULL DISTRIBUTION VIA BAYESIAN APPROACH
Keywords:
Bayesian method, generalized inverse generalized Weibull distribution, quasi and gamma priors, precautionaryAbstract
In this paper, generalized inverse generalized Weibull distribution is considered for Bayesian analysis. The expressions for Bayes estimators of the parameter have been derived under squared error, precautionary, entropy, Kloss, and Al-Bayyati’s loss functions by using quasi and gamma priors.
References
Jain, K., Singla, N. and Sharma, S.K., (2014): “The generalized inverse generalized Weibull distribution and its properties”. Journal of Probability, vol. 2014, Article ID 736101, 11 pages, Hindawi Publishing Corporation.
Zellner, A., (1986): “Bayesian estimation and prediction using asymmetric loss functions”. Jour. Amer. Stat. Assoc., 91, 446-451.
Basu, A. P. and Ebrahimi, N., (1991): “Bayesian approach to life testing and reliability estimation using asymmetric loss function”. Jour. Stat. Plann. Infer., 29, 21-31.
Norstrom, J. G., (1996): “The use of precautionary loss functions in Risk Analysis”. IEEE Trans. Reliab., 45(3), 400-403.
Calabria, R., and Pulcini, G. (1994): “Point estimation under asymmetric loss functions for left truncated exponential samples”. Comm. Statist. Theory & Methods, 25 (3), 585-600.
D.K. Dey, M. Ghosh and C. Srinivasan (1987): “Simultaneous estimation of parameters under entropy loss”. Jour. Statist. Plan. And infer., 347-363.
D.K. Dey, and Pei-San Liao Liu (1992): “On comparison of estimators in a generalized life Model”. Microelectron. Reliab. 32 (1/2), 207-221.
Wasan, M.T., (1970): “Parametric Estimation”. New York: Mcgraw-Hill.
Al-Bayyati, H.N., (2002): “Comparing methods of estimating Weibull failure models using simulation”. Ph.D. Thesis, College of Administration and Economics, Baghdad University, Iraq.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.