%0 Journal Article
%T ANA序列下边缘频率插值密度估计的一致强相合性<br>Uniformly Strong Consistency of Edge Frequency Polygons for ANA Sequences
%A 谭亚玲
%A 李永明
%A 李乃医
%J Statistics and Applications
%P 28-36
%@ 2325-226X
%D 2025
%I Hans Publishing
%R 10.12677/sa.2025.145123
%X 本文在ANA序列下&#65292;利用Rosenthal不等式&#65292;研究边缘频率插值密度估计的一致强相合性&#65292;并在适当的条件下得到其收敛速度&#65292;拓展了已有文献的研究。为验证结论的有效性&#65292;使用R软件进行数值模拟。模拟结果显示&#65292;随着样本量的增大&#65292;边缘频率插值密度估计值逐渐趋于真实密度。<br>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.
%K ANA序列&#65292
%K 边缘频率插值密度估计&#65292
%K 一致强相合性<br>ANA Sequences
%K Edge Frequency Polygons
%K Uniform Strong Consistency
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=113907