In short, CC is right, the others and the references to “multinomial” in the papers are wrong.
A Head/Tail distribution is a “Bernoulli distribution”.
A “Binomial distribution” counts the occurrences (e.g. of Head) of successive Bernoulli outcomes.
Thus a multinomial is like a binomial, counting outcomes, but with more possible outcomes.
The base generalization of Head/Tail is a “Categorical distribution”.
Rémi
http://en.wikipedia.org/wiki/Categorical_distribution
http://en.wikipedia.org/wiki/Bernoulli_distribution
http://en.wikipedia.org/wiki/Multinomial_distribution
http://en.wikipedia.org/wiki/Binomial_distribution
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