满足Lipshitz条件的密度估计的最优收敛速度 |
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引用本文: | 朱力行.满足Lipshitz条件的密度估计的最优收敛速度[J].应用概率统计,1986(3). |
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作者姓名: | 朱力行 |
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作者单位: | 安徽大学 |
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摘 要: | Chen Guijing showed that for the onedimensional density functions satisfying λ-order Lipshitz conditions (λ∈(0,1]) the convergence rates of kernel estimates is of o ((]og n/n)~(λ/2λ+1) log log n), and he conjectured that λ/2λ+1 cannot be improved (2]).In this paper we proved this conjecture being true.
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