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Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution
Author(s) -
Chris Guure,
Samuel Bosomprah
Publication year - 2013
Publication title -
journal of probability and statistics
Language(s) - English
Resource type - Journals
eISSN - 1687-9538
pISSN - 1687-952X
DOI - 10.1155/2013/364705
Subject(s) - weibull distribution , mathematics , estimator , gamma distribution , statistics , bayesian probability , exponential distribution , survival function , exponential function , bayesian inference , distribution (mathematics) , exponential family , mathematical analysis
A two-parameter lifetime distribution was introduced by Kundu and Gupta known asgeneralised exponential distribution. This distribution has been touted to be an alternativeto the well-known 2-parameter Weibull and gamma distributions. We seek to determinethe parameters and the survival function of this distribution. The survival function determines the probability that a unit under investigation will survive beyond a certainspecified 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 themean squared errors and absolute bias are obtained for the purpose of comparison

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