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The negentropy of a distribution is equal to the Kullback–Leibler divergence between <math>p_x</math> and a Gaussian distribution with the same mean and variance as <math>p_x</math> (see  Differential entropy#Maximization in the normal distribution for a proof). In particular, it is always nonnegative.

The negentropy of a distribution is equal to the Kullback–Leibler divergence between <math>p_x</math> and a Gaussian distribution with the same mean and variance as <math>p_x</math> (see  Differential entropy#Maximization in the normal distribution for a proof). In particular, it is always nonnegative.

一个分布的负熵等于 <math>p_x</math> 和与 <math>p_x</math> 具有与它相同均值和方差的正态分布的 Kullback-Leibler 散度(参见正态分布的<font color="#ff8000">微分熵 Differential entropy</font>和最大化)。特别地，负熵总是非负的。

一个分布的负熵等于 <math>p_x</math> 和具有与 <math>p_x</math> 相同均值和方差的正态分布的 Kullback-Leibler 散度(参见正态分布的<font color="#ff8000">微分熵 Differential entropy</font>和最大化)。特别地，负熵总是非负的。