Assessing the goodness of fit of the gompertz model in the presence of right and interval censored data with covariate

This research focuses on assessing the goodness of fit for the Gompertz model in the presence of right and interval censored data with covariate. The performance of the maximum likelihood estimates was evaluated via a simulation study at various censoring proportions and sample sizes. The conclusion...

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Bibliographic Details
Published in:Austrian Journal of Statistics
Main Author: 2-s2.0-85083303856
Format: Article
Language:English
Published: Austrian Statistical Society 2020
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85083303856&doi=10.17713%2fajs.v49i3.1085&partnerID=40&md5=d2f5900d940fbdb3a14ae6d91d6130bd
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Summary:This research focuses on assessing the goodness of fit for the Gompertz model in the presence of right and interval censored data with covariate. The performance of the maximum likelihood estimates was evaluated via a simulation study at various censoring proportions and sample sizes. The conclusions were drawn based on the results of bias, standard error and root mean square error at different settings. Following that, another simulation study was carried out to compare the performance of the proposed modifications to the Cox-Snell residuals for both censored and uncensored observations at different combinations of sample sizes and censoring levels. The results show that standard error and root mean square error values of the parameter estimates increase with the increase in censoring proportions and decrease in the number of sample size. This indicates that the estimates perform better when sample sizes are larger and censoring proportions are lower. The performance of the proposed modifications of the Cox-Snell residuals showed that they perform slightly better than existing method. © 2020, Austrian Statistical Society. All rights reserved.
ISSN:1026597X
DOI:10.17713/ajs.v49i3.1085