| THE ASYMPTOTICS OF THE INTEGRATEDSQUARE ERROR FOR THE KERNEL HAZARD RATEESTIMATORS WITH LEFT TRENCATED ANDRIGHT CENSORED DATA |
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| 作者姓名： | SUN Liuquan |
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| 作者单位： | SUN Liuquan(Institute of Applied Mathematics，Academia Sinica，Beijing 100080，China)ZHENG Zhongguo(Department of Probability and Statistics，Peking University，Beijing 100871，China) |
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| 摘 要： | 1.IntroductionandMainResultsInmanysituations,asforexampleinmedicalfollow-uporinengineeringlifetestingstudies,onemaynotbeabletoobservethevariableofinterest.Lefttruncationandrightcensoringaretwocommonformsinwhichincompletedatamadappear.Lefttruncationmayoccurifthetimeoriginofthelifetimeprecedesthetimeoriginofthestudy.Oncehavingeageredintothestudytheindividualsaresubjecttotheusualrightcensoring.Lefttruncationandrightcensoringmadhappensimultaneously.Censoringhasbeenreceivingconsiderableattentionf…
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THE ASYMPTOTICS OF THE INTEGRATED SQUARE ERROR FOR THE KERNEL HAZARD RATE ESTIMATORS WITH LEFT TRENCATED AND RIGHT CENSORED DATA |
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| SUN Liuquan.THE ASYMPTOTICS OF THE INTEGRATEDSQUARE ERROR FOR THE KERNEL HAZARD RATEESTIMATORS WITH LEFT TRENCATED ANDRIGHT CENSORED DATA[J].Journal of Systems Science and Complexity,1999(3). |
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| Authors: | SUN Liuquan |
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| Abstract: | A central limit theorem for the integrated square error (ISE) of the kernelhazard rate estimators is obtained based on left truncated and right censored data. Anasymptotic representation of the mean integrated square error (MISE) for the kernel hazardrate estimators is also presented. |
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| Keywords: | Left truncation and right censorship kernel hazard rate estimators integrated square error central limit theorem an asymptotic representation |
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