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Regression analysis of current status data in the presence of a cured subgroup and dependent censoring

Yeqian Liu (), Tao Hu () and Jianguo Sun ()
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Yeqian Liu: Middle Tennessee State University
Tao Hu: Capital Normal University
Jianguo Sun: University of Missouri

Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, 2017, vol. 23, issue 4, No 6, 626-650

Abstract: 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.

Keywords: Bernstein polynomial; Cure rate model; EM algorithm; Interval censoring (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10985-016-9382-z

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