However, conflating the categorical and multinomial distributions can lead to problems.

It connects the categorical distribution with the related multinomial distribution.

Various methods may be used to simulate a multinomial distribution.

In the two cases, the result is a multinomial distribution with k categories without any correlation.

An example of the multivariate case is the multinomial distribution with known number of trials.

A single vector-valued variable , distributed according to a multinomial distribution.

Turing at first modeled the frequencies as a multinomial distribution, but found it inaccurate.

Furthermore, each topic defines a multinomial distribution over a set of terms.

In this model, the multinomial distributions and are generated from and , respectively.

This leads to the Bag of words model, and turns out to generate a multinomial distribution over words.