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单词 Parzen window
释义

Parzen window

中文百科

核密度估计 Kernel density estimation

(重定向自Parzen window)
100个常态分布的乱数的核密度估计
Comparison of the histogram (left) and kernel density estimate (right) constructed using the same data. The 6 individual kernels are the red dashed curves, the kernel density estimate the blue curves. The data points are the rug plot on the horizontal axis.
Kernel density estimate (KDE) with different bandwidths of a random sample of 100 points from a standard normal distribution. Grey: true density (standard normal). Red: KDE with h=0.05. Black: KDE with h=0.337. Green: KDE with h=2.
Comparison between rule of thumb and solve-the-equation bandwidth.

核密度估计(kernel density estimation)是在概率论中用来估计未知的密度函数,属于非参数检验方法之一,由Rosenblatt (1955)和Emanuel Parzen(1962)提出,又名Parzen窗(Parzen window)。Ruppert和Cline基于数据集密度函数聚类算法提出修订的核密度估计方法。

核密度估计在估计边界区域的时候会出现边界效应。

在单变量核密度估计的基础上,可以创建风险价值的预测模型。通过对核密度估计变异系数的加权处理,可以创建不同的风险价值的预测模型。

英语百科

Kernel density estimation 核密度估计

(重定向自Parzen window)
Kernel density estimation of 100 normally distributed random numbers using different smoothing bandwidths.
Comparison of the histogram (left) and kernel density estimate (right) constructed using the same data. The 6 individual kernels are the red dashed curves, the kernel density estimate the blue curves. The data points are the rug plot on the horizontal axis.
Kernel density estimate (KDE) with different bandwidths of a random sample of 100 points from a standard normal distribution. Grey: true density (standard normal). Red: KDE with h=0.05. Black: KDE with h=0.337. Green: KDE with h=2.
Comparison between rule of thumb and solve-the-equation bandwidth.

In statistics, kernel density estimation (KDE) is a non-parametric way to estimate the probability density function of a random variable. Kernel density estimation is a fundamental data smoothing problem where inferences about the population are made, based on a finite data sample. In some fields such as signal processing and econometrics it is also termed the Parzen–Rosenblatt window method, after Emanuel Parzen and Murray Rosenblatt, who are usually credited with independently creating it in its current form.

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更新时间:2025/6/17 0:24:55