Regression analysis of current status data in the presence of a cured subgroup and dependent censoring
This paper discusses regression analysis of current status data, a type of failure time data where each study subject is observed only once, in the presence of dependent censoring. Furthermore, there may exist a cured subgroup, meaning that a proportion of study subjects are not susceptible to the f...
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Published in | Lifetime data analysis Vol. 23; no. 4; pp. 626 - 650 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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Springer US
01.10.2017
Springer Nature B.V |
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Abstract | This paper discusses regression analysis of current status data, a type of failure time data where each study subject is observed only once, in the presence of dependent censoring. Furthermore, there may exist a cured subgroup, meaning that a proportion of study subjects are not susceptible to the failure event of interest. For the problem, we develop a sieve maximum likelihood estimation approach with the use of latent variables and Bernstein polynomials. For the determination of the proposed estimators, an EM algorithm is developed and the asymptotic properties of the estimators are established. Extensive simulation studies are conducted and indicate that the proposed method works well for practical situations. A motivating application from a tumorigenicity experiment is also provided. |
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AbstractList | This paper discusses regression analysis of current status data, a type of failure time data where each study subject is observed only once, in the presence of dependent censoring. Furthermore, there may exist a cured subgroup, meaning that a proportion of study subjects are not susceptible to the failure event of interest. For the problem, we develop a sieve maximum likelihood estimation approach with the use of latent variables and Bernstein polynomials. For the determination of the proposed estimators, an EM algorithm is developed and the asymptotic properties of the estimators are established. Extensive simulation studies are conducted and indicate that the proposed method works well for practical situations. A motivating application from a tumorigenicity experiment is also provided. This paper discusses regression analysis of current status data, a type of failure time data where each study subject is observed only once, in the presence of dependent censoring. Furthermore, there may exist a cured subgroup, meaning that a proportion of study subjects are not susceptible to the failure event of interest. For the problem, we develop a sieve maximum likelihood estimation approach with the use of latent variables and Bernstein polynomials. For the determination of the proposed estimators, an EM algorithm is developed and the asymptotic properties of the estimators are established. Extensive simulation studies are conducted and indicate that the proposed method works well for practical situations. A motivating application from a tumorigenicity experiment is also provided.This paper discusses regression analysis of current status data, a type of failure time data where each study subject is observed only once, in the presence of dependent censoring. Furthermore, there may exist a cured subgroup, meaning that a proportion of study subjects are not susceptible to the failure event of interest. For the problem, we develop a sieve maximum likelihood estimation approach with the use of latent variables and Bernstein polynomials. For the determination of the proposed estimators, an EM algorithm is developed and the asymptotic properties of the estimators are established. Extensive simulation studies are conducted and indicate that the proposed method works well for practical situations. A motivating application from a tumorigenicity experiment is also provided. |
Author | Liu, Yeqian Hu, Tao Sun, Jianguo |
Author_xml | – sequence: 1 givenname: Yeqian surname: Liu fullname: Liu, Yeqian organization: Department of Mathematical Sciences, Middle Tennessee State University – sequence: 2 givenname: Tao surname: Hu fullname: Hu, Tao email: hutaomath@foxmail.com organization: School of Mathematical Sciences, Capital Normal University – sequence: 3 givenname: Jianguo surname: Sun fullname: Sun, Jianguo organization: Department of Statistics, University of Missouri |
BackLink | https://www.ncbi.nlm.nih.gov/pubmed/27696128$$D View this record in MEDLINE/PubMed |
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Cites_doi | 10.1006/jmva.2000.1975 10.1198/016214506000000311 10.1002/9781118032985 10.1198/jasa.2009.tm07494 10.1080/01621459.1158113 10.1016/S0167-7152(01)00105-5 10.1111/j.0006-341X.2002.00510.x 10.1093/biomet/92.3.573 10.1080/01621459.1997.10474050 10.1214/aos/1032894452 10.1007/BF00985261 10.1214/aos/1030741085 10.1198/jasa.2009.tm08033 10.1007/978-1-4757-2545-2 10.2307/2529885 10.1002/bimj.201100131 10.1111/j.1467-9469.2005.00415.x 10.2307/2532047 10.1214/aos/1176325486 10.1198/016214505000001122 10.1002/sim.2001 10.1186/2051-1426-1-18 10.1007/978-1-4612-5254-2 10.1080/01621459.1996.10476939 10.1093/biomet/85.2.289 10.1111/j.2517-6161.1982.tb01203.x 10.1002/sim.3715 10.1111/j.1467-9868.2007.00589.x 10.1093/biomet/91.2.331 |
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SubjectTerms | Algorithms Animals Asymptotic properties Chloroprene - toxicity Computer Simulation Economic models Economics Estimators Failure analysis Female Finance Health Sciences Humans Insurance Life Tables Likelihood Functions Liver Neoplasms, Experimental - chemically induced Male Management Mathematics and Statistics Maximum likelihood estimation Medicine Mice Models, Statistical Operations Research/Decision Theory Polynomials Quality Control Rats Regression Analysis Reliability Safety and Risk Statistics Statistics for Business Statistics for Life Sciences |
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Title | Regression analysis of current status data in the presence of a cured subgroup and dependent censoring |
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