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IEVref:171-07-21ID:
Language:enStatus: Standard
Term: conditional information content
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Synonym2:
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Symbol: I( x|y ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGjbWaaeWaaeaacaWG4bGaaiiFaiaadMhaaiaawIcacaGLPaaa aaa@4259@
Definition: logarithm of the reciprocal of the conditional probability p( x|y ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGjbWaaeWaaeaacaWG4bGaaiiFaiaadMhaaiaawIcacaGLPaaa aaa@4259@ of the event x given the occurrence of the event y

I( x|y )=log 1 p(x|y) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGjbWaaeWaaeaacaWG4bGaaiiFaiaadMhaaiaawIcacaGLPaaa cqGH9aqpjugqbiGacYgacaGGVbGaai4zaOWaaSaaaeaajugqbiaaig daaOqaaiaadchacaGGOaGaamiEaiaacYhacaWG5bGaaiykaaaaaaa@4DB5@

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( x|y )=I( x,y )I( y ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aajugibiaadMeaomaabmaakeaajugibiaadIhacaGG8bGaamyEaaGc caGLOaGaayzkaaqcLbsacqGH9aqpcaWGjbGddaqadaGcbaqcLbsaca WG4bGaaiilaiaadMhaaOGaayjkaiaawMcaaKqzGeGaeyOeI0Iaamys a4WaaeWaaOqaaKqzGeGaamyEaaGccaGLOaGaayzkaaaaaa@5063@ .


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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