Acta Mathematicae Applicatae Sinica(English Series) >
Nonparametric Estimation of Interval-censored Failure Time Data in the Presence of Informative Censoring
Received date: 2012-04-28
Revised date: 2012-10-03
Online published: 2017-02-15
Supported by
Supported by the National Natural Science Foundation of China(Grant No. 11301037, 11671054, 11671168).
Nonparametric estimation of a survival function is one of the most commonly asked questions in the analysis of failure time data and for this, a number of procedures have been developed under various types of censoring structures(Kalbfleisch and Prentice, 2002). In particular, several algorithms are available for interval-censored failure time data with independent censoring mechanism(Sun, 2006; Turnbull, 1976). In this paper, we consider the interval-censored data where the censoring mechanism may be related to the failure time of interest, for which there does not seem to exist a nonparametric estimation procedure. It is well-known that with informative censoring, the estimation is possible only under some assumptions. To attack the problem, we take a copula model approach to model the relationship between the failure time of interest and censoring variables and present a simple nonparametric estimation procedure. The method allows one to conduct a sensitivity analysis among others.
Chun-jie WANG , Jian-guo SUN , De-hui WANG , Ning-zhong SHI . Nonparametric Estimation of Interval-censored Failure Time Data in the Presence of Informative Censoring[J]. Acta Mathematicae Applicatae Sinica(English Series), 2017 , 33(1) : 107 -114 . DOI: 10.1007/s10255-017-0641-x
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