Weighted Empirical Likelihood for Accelerated Life Model with Various Types of Censored Data
In analysis of survival data, the <i>Accelerated Life Model</i> (ALM) is one of the widely used semiparametric models, and we often encounter various types of censored survival data, such as right censored data, doubly censored data, interval censored data, partly interval-censored data,...
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2024-09-01
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| author | Jian-Jian Ren Yiming Lyu |
| author_facet | Jian-Jian Ren Yiming Lyu |
| author_sort | Jian-Jian Ren |
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| description | In analysis of survival data, the <i>Accelerated Life Model</i> (ALM) is one of the widely used semiparametric models, and we often encounter various types of censored survival data, such as right censored data, doubly censored data, interval censored data, partly interval-censored data, etc. For complicated types of censored data, the studies of statistical inferences on the ALM are very technical and challenging mathematically, thus up to now little work has been done. In this article, we extend the concept of <i>weighted empirical likelihood</i> (WEL) from univariate case to multivariate case, and we apply it to the ALM, which leads to an estimation approach, called <i>weighted maximum likelihood estimator</i>, as well as the WEL based confidence interval for the regression parameter. Our proposed procedures are applicable to various types of censored data under a unified framework, and some simulation results are presented. |
| format | Article |
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| institution | OA Journals |
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| language | English |
| publishDate | 2024-09-01 |
| publisher | MDPI AG |
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| series | Stats |
| spelling | doaj-art-cacf793dde7c495699dc9bc7b232c1282025-08-20T01:55:52ZengMDPI AGStats2571-905X2024-09-017394495410.3390/stats7030057Weighted Empirical Likelihood for Accelerated Life Model with Various Types of Censored DataJian-Jian Ren0Yiming Lyu1Statistics Program, Department of Mathematics, University of Maryland, College Park, MD 20742, USAThe Janssen Pharmaceutical Company of Johnson & Johnson, New Brunswick, NJ 08933, USAIn analysis of survival data, the <i>Accelerated Life Model</i> (ALM) is one of the widely used semiparametric models, and we often encounter various types of censored survival data, such as right censored data, doubly censored data, interval censored data, partly interval-censored data, etc. For complicated types of censored data, the studies of statistical inferences on the ALM are very technical and challenging mathematically, thus up to now little work has been done. In this article, we extend the concept of <i>weighted empirical likelihood</i> (WEL) from univariate case to multivariate case, and we apply it to the ALM, which leads to an estimation approach, called <i>weighted maximum likelihood estimator</i>, as well as the WEL based confidence interval for the regression parameter. Our proposed procedures are applicable to various types of censored data under a unified framework, and some simulation results are presented.https://www.mdpi.com/2571-905X/7/3/57doubly censored dataempirical likelihoodinterval censored datamaximum likelihood estimatorpartly interval-censored dataright censored data |
| spellingShingle | Jian-Jian Ren Yiming Lyu Weighted Empirical Likelihood for Accelerated Life Model with Various Types of Censored Data Stats doubly censored data empirical likelihood interval censored data maximum likelihood estimator partly interval-censored data right censored data |
| title | Weighted Empirical Likelihood for Accelerated Life Model with Various Types of Censored Data |
| title_full | Weighted Empirical Likelihood for Accelerated Life Model with Various Types of Censored Data |
| title_fullStr | Weighted Empirical Likelihood for Accelerated Life Model with Various Types of Censored Data |
| title_full_unstemmed | Weighted Empirical Likelihood for Accelerated Life Model with Various Types of Censored Data |
| title_short | Weighted Empirical Likelihood for Accelerated Life Model with Various Types of Censored Data |
| title_sort | weighted empirical likelihood for accelerated life model with various types of censored data |
| topic | doubly censored data empirical likelihood interval censored data maximum likelihood estimator partly interval-censored data right censored data |
| url | https://www.mdpi.com/2571-905X/7/3/57 |
| work_keys_str_mv | AT jianjianren weightedempiricallikelihoodforacceleratedlifemodelwithvarioustypesofcensoreddata AT yiminglyu weightedempiricallikelihoodforacceleratedlifemodelwithvarioustypesofcensoreddata |