Talk:Self-information

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What is the continuous analogue for this? Btyner 02:21, 13 May 2006 (UTC)

There is no continuous analog for self-information. This could be mentioned in the article. 130.94.162.64 04:44, 16 May 2006 (UTC)
Why isn't there? It wouldn't be too hard to define a continuous I(x) "information density function" so that \int_a^bI(t)dt = -\log_2{\int_a^bf(t)dt} i.e. integrating the idf from a to b would give you the self-information of the event corresponding to the interval (a,b), if f(x) is some probability density function. I'm not saying this has been done, but I'd be surprised if it hasn't. 68.221.39.112 00:23, 2 December 2006 (UTC)
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