IEVref: | 171-07-21 | ID: | |

Language: | en | Status: Standard | |

Term: | conditional information content | ||

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Symbol: | $I\left(x|y\right)$ | ||

Definition: | logarithm of the reciprocal of the conditional probability $p\left(x|y\right)$ of the event x given the occurrence of the event y $I\left(x|y\right)=\mathrm{log}\frac{1}{p(x|y)}$ Note 1 to entry: The conditional information content is also the amount by which the joint information content of the two events exceeds the information content of the second: $I\left(x|y\right)=I\left(x,y\right)-I\left(y\right)$. | ||

Publication date: | 2019-03-29 | ||

Source | IEC 80000-13:2008, 13-31, modified – Addition of information useful for the context of the IEV, and adaptation to the IEV rules | ||

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$I\left(x|y\right)=\mathrm{log}\frac{1}{p(x|y)}$

Note 1 to entry: The conditional information content is also the amount by which the joint information content of the two events exceeds the information content of the second: $I\left(x|y\right)=I\left(x,y\right)-I\left(y\right)$.