Note on the minimum mean integrated squared error of kernel estimates of a distribution function and its derivatives
Note on the minimum mean integrated squared error of kernel estimates of a distribution function and its derivatives
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关于分布函数及其导数的核估计的最小均方积分误差的注解
DOI：
10.1080/03610929308831040
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发表时间：
1993
影响因子：
0.8
通讯作者：
B. Abdous
中科院分区：
文献类型：
--
作者：
B. Abdous
给出了与核分布函数及其导数有关的最小积分平方误差的精确表达式。此外，将Davis（1977）在密度估计中的Fourier积分估计的虚最优性推广到分布函数及其导数的估计。
An exact expiession for the minimum integrated squared error associated with the kernel distribution function and its derivatives is given. Furthermore, the virtual optimality of the Fourier integral estimate in density estimation, shown by Davis (1977), is extended to estimation of a distibution function and its derivatives.