• 论文 •

1. (1)湖北黄冈师范专科学校数学系;(2)浙江湖州师范专科学校数学系
• 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1996-07-25 发布日期:1996-07-25

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.

THE BAHADUR REPRESENTAION OF A SMOOTH NONPARAMETRIC QUANTILE ESTIMATOR ON CENSORED DATA

Liu Huanbin(1);Zhu Yujie(2)

1. (1)Department of Mathematics,Huanggang Teachers' Collage,Hubei 436100;(2)Department of Mathematics,Huzhou Teachers' College,Zhejiang 313000
• Received:1900-01-01 Revised:1900-01-01 Online:1996-07-25 Published:1996-07-25

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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