使用正交多项式核的密度导数估计
Estimates of Density Derivatives by Kernal Functions of Orthogonal Polynomials
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摘要: 研究出一种正交多项式核函数,具有有限支撑而在全实轴连续。用它构造的密度导数估计保持连续性和较好的收敛速度,且多项式次数不随求导次数改变。Abstract: This paper proposes a kind of kernel function constructed by orthogonal polynomials. It is continuous on the total real axis and its support set is finite. The estimates of density derivatives constructed by the kernel function can keep better convergence rates and continuity,and the order of polynomial does not change when the order of derivatives is changed.
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