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→In terms of pmf's for discrete distributions 关于离散分布的概率质量函数
== In terms of pmf's for discrete distributions 关于离散分布的概率质量函数 ==
== In terms of pmf's for discrete distributions 关于离散分布的概率质量函数 ==
For discrete random variables <math>X</math>, <math>Y</math>, and <math>Z</math> with [[Support (mathematics)|support sets]] <math>\mathcal{X}</math>, <math>\mathcal{Y}</math> and <math>\mathcal{Z}</math>, the conditional mutual information <math>I(X;Y|Z)</math> is as follows
For discrete random variables <math>X</math>, <math>Y</math>, and <math>Z</math> with [[Support (mathematics)|support sets]] <math>\mathcal{X}</math>, <math>\mathcal{Y}</math> and <math>\mathcal{Z}</math>, the conditional mutual information <math>I(X;Y|Z)</math> is as follows
where the marginal, joint, and/or conditional [[probability mass function]]s are denoted by <math>p</math> with the appropriate subscript. This can be simplified as
where the marginal, joint, and/or conditional [[probability mass function]]s are denoted by <math>p</math> with the appropriate subscript. This can be simplified as
其中边缘概率密度函数，联合概率密度函数，和（或）条件概率密度函数可以由<math>p</math>加上适当的下标表示。这可以简化为
其中边缘概率密度函数，联合概率密度函数，和（或）条件概率密度函数可以由<math>p</math>加上适当的下标表示。这可以简化为