CONVERGENCE RATE OF ESTIMATES OF PROBABILITY DENSITY FUNCTION,ITS DERIVATIVES AND MODE

被引：0

作者：

陈桂景

机构：

[1] Hefei

[2] Anhui University

来源：

Science China Mathematics | 1984年 / 02期

关键词：

mode;

D O I：

暂无

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学科分类号：

摘要：

Under various conditions imposed on the kernel k（x） and density f（x）, the rates of thekernel estimate f（x） converging uniformly to f（x） are studied. For example, if f is provedto satisfy the Lipschitz condition of λ-th order for some λ∈[0, 1], we havesup|f（x） - f（x）| = o(（logn/n）loglogn), a. s.Also, the rates of convergence of f（x）→f（x） a. s. and those of the estimate θof thepopulation mode θ are considered.

引用

页码：125 / 134

页数：10

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