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| SMOOTH PL-ESTIMATOR OF DISTRIBUTION FUNCTION UNDER RANDOM TRUNCATION DATA | |
| 引用本文： | ZHOU Yong (Institute of Applied Mathematics,Academia Sinica,Beijing 100080,China). SMOOTH PL-ESTIMATOR OF DISTRIBUTION FUNCTION UNDER RANDOM TRUNCATION DATA[J]. 系统科学与复杂性, 1996, 0(3) |
| 作者姓名： | ZHOU Yong (Institute of Applied Mathematics Academia Sinica Beijing 100080 China) |
| 作者单位： | Institute of Applied Mathematics，Academia Sinica，Beijing 100080，China |
| 摘 要： | ＳＭＯＯＴＨＰＬ－ＥＳＴＩＭＡＴＯＲＯＦＤＩＳＴＲＩＢＵＴＩＯＮＦＵＮＣＴＩＯＮＵＮＤＥＲＲＡＮＤＯＭＴＲＵＮＣＡＴＩＯＮＤＡＴＡＺＨＯＵＹｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎ... |
SMOOTH PL-ESTIMATOR OF DISTRIBUTION FUNCTION UNDER RANDOM TRUNCATION DATA |
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| ZHOU Yong. SMOOTH PL-ESTIMATOR OF DISTRIBUTION FUNCTION UNDER RANDOM TRUNCATION DATA[J]. Journal of Systems Science and Complexity, 1996, 0(3) | |
| Authors: | ZHOU Yong |
| Abstract: | For the nonparametric smooth PL-estimator Fn, the smooth PL-process (Fn - F) can be uniformly represented by a smooth empirical process plus a negligible remainder term when the data are subject to random left truncation. The law of the iterated logarithm (LIL) and the weak convergence of the smooth PL-process are established from this representation. |
| Keywords: | Smooth PL-estimator smooth PL-process empirical process hazard function and weak convergence |
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