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→Conditional differential entropy
=== Definition ===
=== Definition ===
The above definition is for discrete random variables. The continuous version of discrete conditional entropy is called ''conditional differential (or continuous) entropy''. Let <math>X</math> and <math>Y</math> be a continuous random variables with a [[joint probability density function]] <math>f(x,y)</math>. The differential conditional entropy <math>h(X|Y)</math> is defined as<ref name=cover1991 />{{rp|249}}
The above definition is for discrete random variables. The continuous version of discrete conditional entropy is called ''conditional differential (or continuous) entropy''. Let <math>X</math> and <math>Y</math> be a continuous random variables with a [[joint probability density function]] <math>f(x,y)</math>. The differential conditional entropy <math>h(X|Y)</math> is defined as<ref name=cover1991 />{{rp|249}}
上面的定义是针对离散随机变量的。离散条件熵的连续形式称为'''<font color="#ff8000"> 条件微分（或连续）熵Conditional differential (or continuous) entropy </font>'''。 令<math>X</math>和<math>Y</math>为具有联合概率密度函数<math>f(x,y)</math>的连续随机变量。则微分条件熵<math>h(X|Y)</math>定义为：<ref name=cover1991 />{{rp|249}}
{{Equation box 1
{{Equation box 1