Semiparametric Sequential Testing for Multiple Change Points in Piecewise Constant Hazard Functions with Long-Term Survivors |
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| Authors: | Wei Zhang Lianfen Qian Yunxia Li |
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| Affiliation: | 1. Department of Mathematical Sciences , Florida Atlantic University , Boca Raton , FL , 33431 , USA;2. Department of Mathematical Sciences , Florida Atlantic University , Boca Raton , FL , 33431 , USA;3. College of Mathematics and Information Science , Wenzhou University , Zhejiang , China , 325035;4. School of Mathematics and Statistics , Zhejiang University of Finance and Economics , Hangzhou , 310018 , P.R. China |
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| Abstract: | In this article, we consider parameter estimation in the hazard rate with multiple change points in the presence of long-term survivors. We combine two methods: maximum likelihood based and martingale based, to estimate the change points in the hazard rate for right censored survival data that accounts for long-term survivors. A simulation study is carried out to compare the performance of estimators. The method is applied to analyze two real datasets. |
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| Keywords: | Change points Hazard rate Long-Term survivor Right censoring |
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