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ANA序列下边缘频率插值密度估计的一致强相合性
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Abstract:
本文在ANA序列下，利用Rosenthal不等式，研究边缘频率插值密度估计的一致强相合性，并在适当的条件下得到其收敛速度，拓展了已有文献的研究。为验证结论的有效性，使用R软件进行数值模拟。模拟结果显示，随着样本量的增大，边缘频率插值密度估计值逐渐趋于真实密度。
In this paper, we study the uniform strong consistency and its rate of the density estimation of edge frequency polygons under asymptotically negatively associated (ANA) sequences using Rosenthal-type inequality, which extends the existing studies in the literature. To validate the theoretical conclusions, we conduct numerical simulations in R software. The results demonstrate that the proposed density estimator converges uniformly to the true density as the sample size increases.
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