Multinomial Distribution Notation. Let a set of random variates have a probability function 1 where are nonnegative integers such that 2 and are constants with and 3 then the joint distribution of is a multinomial distribution and is given by the corresponding coefficient of the multinomial series. Xk bin n π k.
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X mult left n pi right. Let x be a vector of length k where x k is a random variable that describes the number of times that the kth value was the outcome out of n categorical trials. The possible values of each x k are integers from 0 to n all x k values must sum to n.
The possible values of each x k are integers from 0 to n all x k values must sum to n.
P k k 1 x k n example. At this point it is interesting to introduce a new notation for a bootstrap resample up to now we have noted a possible reasample. X mult left n pi right. The possible values of each x k are integers from 0 to n all x k values must sum to n.
