ANA序列下边缘频率插值密度估计的一致强相合性
Uniformly Strong Consistency of Edge Frequency Polygons for ANA Sequences
DOI: 10.12677/sa.2025.145123, PDF,    科研立项经费支持
作者: 谭亚玲：东华理工大学理学院，江西 南昌；李永明*：上饶师范学院数学与计算科学学院，江西 上饶；李乃医：广东海洋大学数学与计算机学院，广东 湛江
关键词: ANA序列；边缘频率插值密度估计；一致强相合性；ANA Sequences； Edge Frequency Polygons； Uniform Strong Consistency
摘要: 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。
Abstract: 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.
文章引用：谭亚玲, 李永明, 李乃医. ANA序列下边缘频率插值密度估计的一致强相合性[J]. 统计学与应用, 2025, 14(5): 28-36. https://doi.org/10.12677/sa.2025.145123

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