Talk:Fano's inequality

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Probability of communication error

Shouldn't the definition of the probability of communication error be:

P(e)=\sum _{j\not =i}P(y_{j},x_{i})

instead of:

P(e)=\sup _{i}\sum _{j\not =i}P(y_{j}|x_{i})

This way, the total probability mass of generating a message x and receiving a different message y is calculated. What is currently written, calculates the probability of error that is largest for a particular message. However, this does not take into account the fact that the probability of generating this message could be very small.

Where can I find the proof of the "Alternative formulation"?

$SUBJ — Preceding unsigned comment added by Lockywolf (talk • contribs) 11:26, 30 September 2015 (UTC)[reply]