IEVref: 171-07-23 ID: Language: en Status: Standard Term: conditional entropy Synonym1: mean conditional information content [Preferred] Synonym2: average conditional information content [Admitted] Synonym3: Symbol: $H\left(X|Y\right)$ Definition: mean value of the conditional information content of the events in a finite set of mutually exclusive and jointly exhaustive events, given the occurrence of the events in another set of mutually exclusive and jointly exhaustive events $H\left(X|Y\right)=\sum _{i=1}^{n}\sum _{j=1}^{m}p\left({x}_{i},{y}_{j}\right)\cdot I\left({x}_{i}|{y}_{j}\right)$ where $X=\left\{{x}_{1},\text{\hspace{0.17em}}\dots ,\text{\hspace{0.17em}}{x}_{n}\right\}$ is the set of events ${x}_{i}\left(i=1,\text{\hspace{0.17em}}\dots ,\text{\hspace{0.17em}}n\right)$, $Y=\left\{{y}_{1},\text{\hspace{0.17em}}\dots ,\text{\hspace{0.17em}}{y}_{m}\right\}$ is the set of events ${y}_{j}\left(j=1,\text{\hspace{0.17em}}\dots ,\text{\hspace{0.17em}}m\right)$, $I\left({x}_{i}|{y}_{j}\right)$ is the conditional information content of ${x}_{i}$ given ${y}_{j}$, and $p\left({x}_{i},{y}_{j}\right)$ the joint probability that both events occur Publication date: 2019-03-29 Source: IEC 80000-13:2008, 13-32, modified – Addition of information useful for the context of the IEV, and adaptation to the IEV rules Replaces: Internal notes: CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: