Semiparametric Density Ratio Model for Survival Data with a Cure Fraction
Weibin Zhong () and
Guoqing Diao ()
Additional contact information
Weibin Zhong: Bristol Myers Squibb
Guoqing Diao: The George Washington University
Statistics in Biosciences, 2023, vol. 15, issue 1, No 8, 217-241
Abstract:
Abstract The paper proposes a class of semiparametric transformation models for survival data with a cure fraction. Particularly, we assume a semiparametric density ratio model for the unknown proper conditional distribution function. The density ratio model is closely related to the generalized linear models and is desirable for modeling skewed survival data. We develop nonparametric likelihood-based estimation and inference procedures. Compared to some existing cure rate models, the estimation of the unknown proper baseline cumulative distribution function is more natural without imposing additional constraints. We establish the consistency and asymptotic normality of the proposed nonparametric maximum likelihood estimators. Extensive simulation studies demonstrate that the proposed methods perform well under practical settings. The proposed methods are also shown to be robust under certain model mis-specifications. We illustrate the proposed methods using two real applications.
Keywords: Cure rate model; Density ratio model; Nonparametric maximum likelihood estimation; Semiparametric inference (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:
Downloads: (external link)
http://link.springer.com/10.1007/s12561-022-09357-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:spr:stabio:v:15:y:2023:i:1:d:10.1007_s12561-022-09357-3
Ordering information: This journal article can be ordered from
http://www.springer.com/journal/12561
DOI: 10.1007/s12561-022-09357-3
Access Statistics for this article
Statistics in Biosciences is currently edited by Hongyu Zhao and Xihong Lin
More articles in Statistics in Biosciences from Springer, International Chinese Statistical Association
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().