数学
估计员
核密度估计
核(代数)
统计
有界函数
带宽(计算)
应用数学
数学分析
组合数学
计算机网络
计算机科学
作者
Evarist Giné,Hailin Sang
标识
DOI:10.1080/10485250903483331
摘要
It is shown that the Hall, Hu and Marron [Hall, P., Hu, T., and Marron J.S. (1995), ‘Improved Variable Window Kernel Estimates of Probability Densities’, Annals of Statistics, 23, 1–10] modification of Abramson's [Abramson, I. (1982), ‘On Bandwidth Variation in Kernel Estimates – A Square-root Law’, Annals of Statistics, 10, 1217–1223] variable bandwidth kernel density estimator satisfies the optimal asymptotic properties for estimating densities with four uniformly continuous derivatives, uniformly on bounded sets where the preliminary estimator of the density is bounded away from zero.
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