Approximate Bayes Estimation for Log-Dagum Distribution
Abstract
In this article, the approximate Bayes estimation
problem for the log-Dagum distribution with three parameters is considered.
Firstly, the maximum likelihood estimators and asymptotic confidence intervals
based on these estimators for unknown parameters of log-Dagum distribution are
constructed. In addition, approximate
Bayes estimators under squared error loss function for unknown parameters of
this distribution are obtained using Tierney and Kadane approximation. A
Monte-Carlo simulation study is performed to compare performances of maximum
likelihood and approximate Bayes estimators in terms of mean square errrors and
biases. Finally, real data analysis for this distribution is performed.
Keywords
References
- Dagum, Camilo. New model of personal income-distribution-specification and estimation. Economie appliquée. 30-3 (1977) 413-437.
- Dagum, C. The Generation and Distribution of Income, the Lorenz Curve and the Gini Ratio, Economie Appliqu ée. 33, (1980) 327-367.
- Domma, F., Asimmetrie Puntuali e Trasformazioni Monotone. Quaderni di Statistica. 3 (2001) 145-164.
- Domma, F., Kurtosis diagram for the Log-Dagum distribution. Statistica Applicazioni. 2 (2004) 3–23.
- Domma, F., Perri, P. F., Some developments on the log-Dagum distribution. Statistical Methods and Applications, 18-2 (2009) 205-220.
- Tierney, L., Kadane, J. B., Accurate approximations for posterior moments and marginal densities. Journal of the american statistical association, 81(393) (1986) 82-86.
- Gencer, G., and Saracoglu, B. Comparison of approximate Bayes Estimators under different loss functions for parameters of Odd Weibull Distribution. Journal of Selcuk University Natural and Applied Science, 5-1 (2016) 18-32.
- Howloader, H.A., Hossain, A. M., Bayesian survival estimation of Pareto distribution of second kind based on failure-censored data, Computational Statistics and Data Analysis, 38 (2002) 301-314.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Caner Tanış
*
0000-0003-0090-1661
Türkiye
Merve Çokbarlı
0000-0003-2970-7862
Türkiye
Buğra Saraçoğlu
0000-0003-1713-2862
Türkiye
Publication Date
June 30, 2019
Submission Date
November 18, 2018
Acceptance Date
January 14, 2019
Published in Issue
Year 2019 Volume: 40 Number: 2
Cited By
Estimation of Pr(X<Y) for Exponential Power Records
Hacettepe Journal of Mathematics and Statistics
https://doi.org/10.15672/hujms.847176