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核密度估计与分布检验 (KDE)

核密度估计是一种非参数方法,它通过在每个观测值上放置一个光滑的核函数来估计连续概率密度,而不假设任何参数分布。它起源于 Rosenblatt (1956) 的研究以及 Silverman (1986) 的教科书式处理,并且它还支持基于估计密度构建的分布比较检验。

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来源

  1. Rosenblatt, M. (1956). Remarks on Some Nonparametric Estimates of a Density Function. Annals of Mathematical Statistics, 27(3), 832-837. DOI: 10.1214/aoms/1177728190
  2. Silverman, B. W. (1986). Density Estimation for Statistics and Data Analysis. Chapman & Hall / CRC Press. ISBN: 978-0412246203

如何引用本页

ScholarGate. (2026, June 1). Kernel Density Estimation and Distribution Testing (KDE). ScholarGate. https://scholargate.app/zh/statistics/kernel-density-test

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被引用于

ScholarGateKernel Density Estimation (Kernel Density Estimation and Distribution Testing (KDE)). 于 2026-06-15 检索自 https://scholargate.app/zh/statistics/kernel-density-test · 数据集: https://doi.org/10.5281/zenodo.20539026