Asymptotically, sample proportions from a multinomial distribution converge in distribution to a multivariate normal distribution with a singular negative product correlation structure. Based on this ...

This article deals with a problem in which n independent choices are made of r out of m factors, resulting in a multinomial distribution with $\binom{m}{r}$ cells. The interest centers on the number ...

Abstract: The purpose of this study is to derive an upper-bound and a lower-bound of the entropy of a multinomial distribution. In spite of its practicality and versatility, there is no closed-form ...

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 ...