This type of model applies to cases where an observation can fall into one of k categories. Binary data occurs in the special case where k=2. If there are m i observations in a subpopulation i, then ...

where is the true probability of observing the jth response level in the ith population. The product multinomial distribution is simply the product of two or more individual multinomial distributions ...

A method of sampling a multinomial population is proposed, of potential use in genetic simulation studies. The method, which is essentially a multinormal approximation to the multinomial distribution, ...

The problem of obtaining maximum likelihood estimates for the multinomial distribution is considered. Maximum likelihood estimation is applied to the particular problem of estimating overlap sizes ...