BAYESIAN ESTIMATION OF SHAPE PARAMETER OF TOPP-LEONE DAGUM DISTRIBUTION
Keywords:
Bayesian method, Topp-Leone Dagum distribution, quasi and gamma priors, squared error, precautionary, entropy, K-loss, and Al-Bayyati’s loss functions
Abstract
In this paper, Topp-Leone Dagum distribution is considered for Bayesian analysis. The expressions for Bayes estimators of the parameter have been derived under squared error, precautionary, entropy, K-loss, and Al-Bayyati’s loss functions by using quasi and gamma priors.
References
[1] Rasheed, N, (2020): “Topp-Leone Dagum distribution: Properties and its Applications”. Research Journal of Mathematical and Statistical Sciences, Vol. 8(1), 16-30.
[2] Zellner, A., (1986): “Bayesian estimation and prediction using asymmetric loss functions”. Jour. Amer. Stat. Assoc., 91, 446-451.
[3] 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.
[4] Norstrom, J. G., (1996): “The use of precautionary loss functions in Risk Analysis”. IEEE Trans. Reliab., 45(3), 400-403.
[5] 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.
[6] D.K. Dey, M. Ghosh and C. Srinivasan (1987): “Simultaneous estimation of parameters under entropy loss”. Jour. Statist. Plan. And infer., 347-363.
[7] 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.
[8] Wasan, M.T., (1970): “Parametric Estimation”. New York: Mcgraw-Hill.
[9] 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.
[2] Zellner, A., (1986): “Bayesian estimation and prediction using asymmetric loss functions”. Jour. Amer. Stat. Assoc., 91, 446-451.
[3] 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.
[4] Norstrom, J. G., (1996): “The use of precautionary loss functions in Risk Analysis”. IEEE Trans. Reliab., 45(3), 400-403.
[5] 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.
[6] D.K. Dey, M. Ghosh and C. Srinivasan (1987): “Simultaneous estimation of parameters under entropy loss”. Jour. Statist. Plan. And infer., 347-363.
[7] 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.
[8] Wasan, M.T., (1970): “Parametric Estimation”. New York: Mcgraw-Hill.
[9] 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.
Published
2021-12-31
How to Cite
Pandey, H., & Rao, A. K. (2021). BAYESIAN ESTIMATION OF SHAPE PARAMETER OF TOPP-LEONE DAGUM DISTRIBUTION. IJO - International Journal of Mathematics (ISSN: 2992-4421 ), 4(12), 01-08. Retrieved from http://www.ijojournals.com/index.php/m/article/view/530
Section
Articles
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