Bayes Estimation of the Logistic Distribution Parameters Based on Progressive Sampling

Authors

A. Rashad, Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, Cairo, Egypt.Follow
M. Mahmoud, Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt.Follow
M. Yusuf, Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, Cairo, Egypt.Follow

Author Country (or Countries)

Egypt.

Abstract

In this paper we develop approximate Bayes estimators of the two parameters logistic distribution. Lindley’s approximation and importance sampling techniques are applied. The Gaussian-gamma prior distribution and progressively type-II censored samples are assumed. Quadratic, linex and general entropy loss functions are used. The statistical performances of the Bayes estimates under quadratic, linex and general entropy loss functions are compared with those of the maximum likelihood estimators based on simulation study.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100632

Recommended Citation

Rashad, A.; Mahmoud, M.; and Yusuf, M. (2016) "Bayes Estimation of the Logistic Distribution Parameters Based on Progressive Sampling," Applied Mathematics & Information Sciences: Vol. 10: Iss. 6, Article 32.
DOI: http://dx.doi.org/10.18576/amis/100632
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/32