Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution. (12th September 2013)

• Record Type: Journal Article
• Authors: Guure, Chris Bambey; Bosomprah, Samuel
• Other Names: Bai Zhidong Academic Editor.
• Is Part Of: Journal of probability and statistics. Volume 2013(2013)
• Publication Date: 2013-09-12
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Periodicals; 519
• DOI: 10.1155/2013/364705
• Languages: English
• ISSNs: 1687-952X

Abstract

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, (x ). 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.