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by kgwgk 1135 days ago
The uniform distribution result is not interesting enough for you?
1 comments
foobarbecue 1134 days ago
Oh, I see! Usually "this sort of thing" would have a normal distribution I guess? That IS quite interesting.
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eru 1133 days ago
Usually 'this sort of thing' would go to the extremes: colours that are already prevalent have a bigger chance of getting more added to them.

It's interesting that they don't.

Normal distribution would be extremely weird and unexpected (and not even really possible): we know for sure that the proportion in the end has to be between 0% to 100%. Normal distributions don't have such cutoffs.

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kgwgk 1133 days ago
On a log-odds (logistic) scale, though, we get something that resembles a normal (a logistic distribution).
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eru 1128 days ago
Yes, a uniform distribution in the space of probabilities between (0,1) would give you something bell-curve shaped in the log-odds scale.

The log-odds scale also makes it clear why probabilities 0 and 1 are very special: they only show up as limits in the log-odds scale.

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