A change-point model for survival data with long-term survivors

Xiaobing Zhao*, Xianyi Wu, Xian Zhou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Change-point hazard models have been extensively investigated by many authors, but the literature on change-point problems with survival data subject to censoring is rather small. In an earlier example provided by Matthews and Farewell (1982), a set of nonlymphoblastic leukemia data were fitted by using a change-point model. But for that data set, the Kaplan-Meier estimator of the distribution function levels off well below 1, which indicates the presence of "long-term survivors" in the data. In this paper, we propose a new change-point model for survival data that accounts for long-term survivors. Estimation methods for the proposed model are investigated, and large-sample properties of the estimators are established. A simulation study is carried out to evaluate the performance of the estimating methods. As an application, the nonlymphoblastic leukemia data are re-analyzed using the new model.

Original languageEnglish
Pages (from-to)377-390
Number of pages14
JournalStatistica Sinica
Issue number1
Publication statusPublished - Jan 2009


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