Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution
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 o...
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Language: | English |
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Wiley
2013-01-01
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Series: | Journal of Probability and Statistics |
Online Access: | http://dx.doi.org/10.1155/2013/364705 |
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author | Chris Bambey Guure Samuel Bosomprah |
author_facet | Chris Bambey Guure Samuel Bosomprah |
author_sort | Chris Bambey Guure |
collection | DOAJ |
description | 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. |
format | Article |
id | doaj-art-f2f0209f9c484439b1e703695f19ac9a |
institution | Kabale University |
issn | 1687-952X 1687-9538 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Probability and Statistics |
spelling | doaj-art-f2f0209f9c484439b1e703695f19ac9a2025-02-03T01:08:50ZengWileyJournal of Probability and Statistics1687-952X1687-95382013-01-01201310.1155/2013/364705364705Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential DistributionChris Bambey Guure0Samuel Bosomprah1Department of Biostatistics, School of Public Health, University of Ghana, Legon Accra, GhanaDepartment of Biostatistics, School of Public Health, University of Ghana, Legon Accra, GhanaA 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.http://dx.doi.org/10.1155/2013/364705 |
spellingShingle | Chris Bambey Guure Samuel Bosomprah Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution Journal of Probability and Statistics |
title | Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution |
title_full | Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution |
title_fullStr | Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution |
title_full_unstemmed | Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution |
title_short | Bayesian and Non-Bayesian Inference for Survival Data Using Generalised Exponential Distribution |
title_sort | bayesian and non bayesian inference for survival data using generalised exponential distribution |
url | http://dx.doi.org/10.1155/2013/364705 |
work_keys_str_mv | AT chrisbambeyguure bayesianandnonbayesianinferenceforsurvivaldatausinggeneralisedexponentialdistribution AT samuelbosomprah bayesianandnonbayesianinferenceforsurvivaldatausinggeneralisedexponentialdistribution |