Bayesian analysis of generalized log-Burr family with R

Md Tanwir Akhtar; Athar Ali Khan

doi:10.1186/2193-1801-3-185

Bayesian analysis of generalized log-Burr family with R

Springerplus. 2014 Apr 10:3:185. doi: 10.1186/2193-1801-3-185. eCollection 2014.

Authors

Md Tanwir Akhtar¹, Athar Ali Khan¹

Affiliation

¹ Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, 202002 India.

Abstract

Log-Burr distribution is a generalization of logistic and extreme value distributions, which are important reliability models. In this paper, Bayesian approach is used to model reliability data for log-Burr model using analytic and simulation tools. Laplace approximation is implemented for approximating posterior densities of the parameters. Moreover, parallel simulation tools are also implemented using 'LaplacesDemon' package of R.

Keywords: Bayesian; Laplace approximation; Laplace’s Demon; Log-Burr; Posterior density; Simulation.