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Journal of Probability and Statistics
Volume 2013, Article ID 364705, 7 pages
http://dx.doi.org/10.1155/2013/364705
Research Article

Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution

Department of Biostatistics, School of Public Health, University of Ghana, Legon Accra, Ghana

Received 29 April 2013; Revised 5 August 2013; Accepted 8 August 2013

Academic Editor: Zhidong Bai

Copyright © 2013 Chris Bambey Guure and Samuel Bosomprah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A two-parameter lifetime distribution was introduced by Kundu and Gupta known as generalised exponential distribution. This distribution has been touted to be an alternative to the well-known 2-parameter Weibull and gamma distributions. We seek to determine the parameters and the survival function of this distribution. The survival function determines the probability that a unit under investigation will survive beyond a certain specified time, say, ( ). We have employed different data sets to estimate the parameters and see how well the distribution can be used to analyse survival data. A comparison is made about the estimators used in this study. Standard errors of the estimators are determined and used for the comparisons. A simulation study is also carried out, and the mean squared errors and absolute bias are obtained for the purpose of comparison.