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Modeling lifetime of parallel components system with covariate, right and interval censored data

This research aims to model the lifetime of parallel components system with covariates, right, and interval censored data. The lifetimes of the components are assumed to follow the exponential distribution, with constant failure rates. A simulation study is conducted to assess the performance of the...

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Main Authors: Teong, X. H., Arasan, J.
Format: Article
Published: Institute of Physics Publishing 2021
Online Access:http://psasir.upm.edu.my/id/eprint/94217/
https://iopscience.iop.org/article/10.1088/1742-6596/1988/1/012107
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spelling my.upm.eprints.942172023-05-08T04:55:46Z http://psasir.upm.edu.my/id/eprint/94217/ Modeling lifetime of parallel components system with covariate, right and interval censored data Teong, X. H. Arasan, J. This research aims to model the lifetime of parallel components system with covariates, right, and interval censored data. The lifetimes of the components are assumed to follow the exponential distribution, with constant failure rates. A simulation study is conducted to assess the performance of the maximum likelihood estimates, without and with midpoint imputation method at various sample sizes, censoring proportions, and number of components in the system. The combination which produces the best parameter estimates is then identified by comparing the bias, standard error and root mean square error of these estimates. The simulation results indicate that the midpoint imputation method produces more efficient and accurate parameter estimates with smaller bias, standard error and root mean square error. Also, in general, better estimates are obtained at low censoring levels, large sample sizes, and a high number of parallel components in the system. The proposed model is then fitted to a modified real data of diabetic retinopathy patients. Following that, the non-parametric log-rank test and Wald hypothesis test are carried out to check the significance of the covariate, age in the model. The results show that the model fits the data rather well and the age of patients has no significant effect on the survival time of the patients' eyes. Institute of Physics Publishing 2021-08-17 Article PeerReviewed Teong, X. H. and Arasan, J. (2021) Modeling lifetime of parallel components system with covariate, right and interval censored data. Journal of Physics: Conference Series, 1988. art. no. 012107. pp. 1-10. ISSN 1742-6588 https://iopscience.iop.org/article/10.1088/1742-6596/1988/1/012107 10.1088/1742-6596/1988/1/012107
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description This research aims to model the lifetime of parallel components system with covariates, right, and interval censored data. The lifetimes of the components are assumed to follow the exponential distribution, with constant failure rates. A simulation study is conducted to assess the performance of the maximum likelihood estimates, without and with midpoint imputation method at various sample sizes, censoring proportions, and number of components in the system. The combination which produces the best parameter estimates is then identified by comparing the bias, standard error and root mean square error of these estimates. The simulation results indicate that the midpoint imputation method produces more efficient and accurate parameter estimates with smaller bias, standard error and root mean square error. Also, in general, better estimates are obtained at low censoring levels, large sample sizes, and a high number of parallel components in the system. The proposed model is then fitted to a modified real data of diabetic retinopathy patients. Following that, the non-parametric log-rank test and Wald hypothesis test are carried out to check the significance of the covariate, age in the model. The results show that the model fits the data rather well and the age of patients has no significant effect on the survival time of the patients' eyes.
format Article
author Teong, X. H.
Arasan, J.
spellingShingle Teong, X. H.
Arasan, J.
Modeling lifetime of parallel components system with covariate, right and interval censored data
author_facet Teong, X. H.
Arasan, J.
author_sort Teong, X. H.
title Modeling lifetime of parallel components system with covariate, right and interval censored data
title_short Modeling lifetime of parallel components system with covariate, right and interval censored data
title_full Modeling lifetime of parallel components system with covariate, right and interval censored data
title_fullStr Modeling lifetime of parallel components system with covariate, right and interval censored data
title_full_unstemmed Modeling lifetime of parallel components system with covariate, right and interval censored data
title_sort modeling lifetime of parallel components system with covariate, right and interval censored data
publisher Institute of Physics Publishing
publishDate 2021
url http://psasir.upm.edu.my/id/eprint/94217/
https://iopscience.iop.org/article/10.1088/1742-6596/1988/1/012107
_version_ 1768009388600066048
score 13.244367

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