From: scerir (scerir@libero.it)
Date: Sat Feb 01 2003 - 18:09:51 MST
> And the increase in knowledge is:
> 2[p(1 - p)(m - n)]^2/[pm + (1 - p)n][p(1 - m) + (1 - p)(1 - n)]
>
> I worked out this result last night and would like to know what
> probability theorists call it, and what term they use for "knowledge".
Dunno.
But there is Jaynes' principle, stated in 1957, also known
as the maximum entropy principle.
Hence I would google <Bayes+entropy+Jaynes>
Jaynes' principle.
Suppose that for some system you know only a few macroscopic
quantities, and you have no further knowledge of it.
Then the system is expected to be in the state with maximal entropy,
beause if it were in a state with a lower entropy
it would also contain more information than previously specified.
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