Kernel density and hazard rate estimation for censored data under α-mixing condition

Kernel density and hazard rate estimation for censored data under α-mixing condition
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DOI:
10.1023/a:1016157519826
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发表时间:
2002-03-01
影响因子:
1
通讯作者:
Liebscher, E
Liebscher, E
中科院分区:
数学4区
文献类型:
--
作者:
Liebscher, E

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We derive rates of uniform strong convergence for kernel density estimators and hazard rate estimators in the presence of right censoring. It is assumed that the failure times (survival times) form a stationary a-mixing sequence. Moreover, we show that, by an appropriate choice of the bandwidth, both estimators attain the optimal strong convergence rate known from independent complete samples. The results represent an improvement over that of Cai's paper.