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Aug 20, 2019 at 18:47 comment added Nick Cox Categories that don't occur in practice have observed probability zero and don't affect the entropy result. It's a strong convention, which can be justified more rigorously, that $-0 \log 0$ is to be taken as zero (the base of logarithms being immaterial here).
Aug 20, 2019 at 18:41 comment added eljusticiero67 just to clarify, is it k the number of possible categories, or number of categories youre calculating entropy for? eg. i have 10 possible categories, but there are 3 samples representing 2 categories in the system i am calculating entropy for. is k in this case 2?
Jul 20, 2018 at 11:49 comment added Nick Cox The length of the sample is immaterial too. It's how many categories you have.
Jul 20, 2018 at 11:44 comment added Fierce82 didn't know about that, thanks. So basically the base of logarithm thas to be the same as the length of the sample, and not more?
Apr 13, 2016 at 12:07 history answered Nick Cox CC BY-SA 3.0