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Interval estimation for parameters of a bathtub hazard model

In this study, a two-parameter lifetime model has been extended to incorporate covariate in the presence of right-censored data. The model has bathtub-shaped or increasing failure rate function which enables it to fit real lifetime data set. The method of maximum likelihood was used to estimate the...

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Main Authors: Ismail, Idari, Arasan, Jayanthi, Mustafa, Mohd Shafie, Mohd Safari, Muhammad Aslam
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2024
Online Access:http://psasir.upm.edu.my/id/eprint/110592/1/110592.pdf
http://psasir.upm.edu.my/id/eprint/110592/
https://www.ukm.my/jqma/wp-content/uploads/2024/07/Paper_7.pdf
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spelling my.upm.eprints.1105922024-11-25T04:36:52Z http://psasir.upm.edu.my/id/eprint/110592/ Interval estimation for parameters of a bathtub hazard model Ismail, Idari Arasan, Jayanthi Mustafa, Mohd Shafie Mohd Safari, Muhammad Aslam In this study, a two-parameter lifetime model has been extended to incorporate covariate in the presence of right-censored data. The model has bathtub-shaped or increasing failure rate function which enables it to fit real lifetime data set. The method of maximum likelihood was used to estimate the parameters in the model and a simulation study was then conducted to evaluate the performance of parameter estimates at various sample sizes and censoring proportion levels. The results from simulation study show that larger sample sizes and smaller censoring proportion give better estimates. Further, two interval estimation methods: Wald and likelihood ratio were constructed, and the performance of these methods was evaluated based on a coverage probability study. Both Wald and likelihood ratio techniques appear to have better performance when the sample size is larger. Also, a real right-censored lifetime data on patients with multiple myeloma was employed to illustrate the practical application of the extended model. Penerbit Universiti Kebangsaan Malaysia 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/110592/1/110592.pdf Ismail, Idari and Arasan, Jayanthi and Mustafa, Mohd Shafie and Mohd Safari, Muhammad Aslam (2024) Interval estimation for parameters of a bathtub hazard model. Journal of Quality Measurement and Analysis, 20 (2). pp. 89-103. ISSN 1823-5670; eISSN: 2600-8602 https://www.ukm.my/jqma/wp-content/uploads/2024/07/Paper_7.pdf 10.17576/jqma.2002.2024.07
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/
language English
description In this study, a two-parameter lifetime model has been extended to incorporate covariate in the presence of right-censored data. The model has bathtub-shaped or increasing failure rate function which enables it to fit real lifetime data set. The method of maximum likelihood was used to estimate the parameters in the model and a simulation study was then conducted to evaluate the performance of parameter estimates at various sample sizes and censoring proportion levels. The results from simulation study show that larger sample sizes and smaller censoring proportion give better estimates. Further, two interval estimation methods: Wald and likelihood ratio were constructed, and the performance of these methods was evaluated based on a coverage probability study. Both Wald and likelihood ratio techniques appear to have better performance when the sample size is larger. Also, a real right-censored lifetime data on patients with multiple myeloma was employed to illustrate the practical application of the extended model.
format Article
author Ismail, Idari
Arasan, Jayanthi
Mustafa, Mohd Shafie
Mohd Safari, Muhammad Aslam
spellingShingle Ismail, Idari
Arasan, Jayanthi
Mustafa, Mohd Shafie
Mohd Safari, Muhammad Aslam
Interval estimation for parameters of a bathtub hazard model
author_facet Ismail, Idari
Arasan, Jayanthi
Mustafa, Mohd Shafie
Mohd Safari, Muhammad Aslam
author_sort Ismail, Idari
title Interval estimation for parameters of a bathtub hazard model
title_short Interval estimation for parameters of a bathtub hazard model
title_full Interval estimation for parameters of a bathtub hazard model
title_fullStr Interval estimation for parameters of a bathtub hazard model
title_full_unstemmed Interval estimation for parameters of a bathtub hazard model
title_sort interval estimation for parameters of a bathtub hazard model
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2024
url http://psasir.upm.edu.my/id/eprint/110592/1/110592.pdf
http://psasir.upm.edu.my/id/eprint/110592/
https://www.ukm.my/jqma/wp-content/uploads/2024/07/Paper_7.pdf
_version_ 1817844593089052672
score 13.235362

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