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单词 Marginal distribution
释义

Marginal distribution

中文百科

边缘分布

Many samples from a bivariate normal distribution. The marginal distributions are shown in red and blue. The marginal distribution of X is also approximated by creating a histogram of the X coordinates without consideration of the Y coordinates.

边缘分布(Marginal Distribution)指统计学中常用的对多变量的概率密度函数针对某个变量进行求和,从而在结果中可以忽略该变量影响,所得到的概率分布。

假设有一个和两个变量相关的概率分布:

关于其中一个特定变量的边缘分布则为给定其他变量的条件概率分布:

在这个边缘分布中,我们得到只关于一个变量的概率分布,而不再考虑另一变量的影响,实际上进行了降维操作。在实际应用中,例如人工神经网络的神经元互相关联,在计算它们各自的参数的时候,就会使用边缘分布计算得到某一特定神经元(变量)的值。

英语百科

Marginal distribution 边缘分布

Many samples from a bivariate normal distribution. The marginal distributions are shown in red and blue. The marginal distribution of X is also approximated by creating a histogram of the X coordinates without consideration of the Y coordinates.

In probability theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables. This contrasts with a conditional distribution, which gives the probabilities contingent upon the values of the other variables.

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更新时间:2025/6/21 12:20:26