the multinomial distribution with infinitely many parameters has a different name, or is just multinomial distribution with infinitely many parameters? To be more precise: if you have tree pots, and n balls, and each ball selects a pot using some probability law independently from the other balls, then you get a multinomialnomial distribution with 4 parameters (n +the probability of choosing each ball) If you have infinitely many pots and you do the same thing, do you get something with a distinct name? Someone has a reference?
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