On the asymptotic normality of the kernel estimators of the density function and its derivatives under censoring
On the asymptotic normality of the kernel estimators of the density function and its derivatives under censoring
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DOI：
10.1080/03610929808832263
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发表时间：
1998
影响因子：
0.8
通讯作者：
D. Louani
中科院分区：
文献类型：
--
作者：
D. Louani
In this paper, we study asymptotic normality of the kernel estimators of the density function and its derivatives as well as the mode in the randomly right censorship model. The mode estimator is defined as the random variable that maximizes the kernel density estimator. Our results are stated under some suitable conditions upon the kernel function, the smoothing parameter and both distributions functions that appear in this model. Here, the Kaplan–Meier estimator of the distribution function is used to build the estimates. We carry out a simulation study which shows how good the normality works.
