Multinomial Distribution. For n independent trials each of which leads to a success for exactly one of k categories with each category having a given fixed success probability the multinomial distribution gives the. It is defined as follows.
Then the probability that occurs times occurs times is given by. The more widely known binomial distribution is a. Then the joint distribution of is a multinomial distribution and is given by the corresponding coefficient of the multinomial series 4 in the words if are mutually exclusive events with.
Number of trials zero or more.
It is defined as follows. The multinomial distribution is the generalization of the binomial distribution to the case of n repeated trials where there are more than two possible outcomes to each. Then the joint distribution of is a multinomial distribution and is given by the corresponding coefficient of the multinomial series 4 in the words if are mutually exclusive events with. Usage dmnom x size prob log false rmnom n size prob arguments x k column matrix of quantiles.
