| 删失数据平滑非参数分位估计的Bahadur表示 |
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| 引用本文： | 刘焕彬(),朱玉阶(). 删失数据平滑非参数分位估计的Bahadur表示[J]. 系统科学与数学, 1996, 16(3): 260-269 |
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| 作者姓名： | 刘焕彬() 朱玉阶() |
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| 作者单位： | 湖北黄冈师范专科学校数学系，浙江湖州师范专科学校数学系 |
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| 摘 要： | 本文讨论了在随机右删失情况下一种平滑非参数分位估计ｘｎ（ｐ）（ｘｎ（ｐ）是的解）．在一定的条件下获得了ｘｎ（ｐ）的Ｂａｈａｄｕｒ表示，作为推论获得了ｘｎ（ｐ）的渐近正态分布和重对数律．
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| 关 键 词： | 右删失；平滑非参数分位估计；Bahadur表示 |
THE BAHADUR REPRESENTAION OF A SMOOTH NONPARAMETRIC QUANTILE ESTIMATOR ON CENSORED DATA |
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| Liu Huanbin,Zhu Yujie. THE BAHADUR REPRESENTAION OF A SMOOTH NONPARAMETRIC QUANTILE ESTIMATOR ON CENSORED DATA[J]. Journal of Systems Science and Mathematical Sciences, 1996, 16(3): 260-269 |
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| Authors: | Liu Huanbin Zhu Yujie |
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| Affiliation: | (1)Department of Mathematics,Huanggang Teachers' Collage,Hubei 436100;(2)Department of Mathematics,Huzhou Teachers' College,Zhejiang 313000 |
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| Abstract: | On the basis of randomly right-censored data,a smooth nonparametric quantile estimator is studied.The estimator is defined to be the solution xn(p) of Fn(x)=p,where Fn(x)=Under some conditions,we obtain the Bahadur representation of xn(p).Using this result,we derive the asymptotic normal distribution and the iterated logarithm law. |
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| Keywords: | Right-censoring smooth nonparametric quantile estimator Bahadur representation. |
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