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 ...

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 ...

Several new test procedures are proposed for assessing the goodness of fit of a postulated multinomial distribution. The new tests are Neyman smooth-type tests with orders selected adaptively from the ...