On the compound multinomial distribution, the multivariate β-distribution, and correlations among proportions

In this section the compound multinomial distribution is presented. The moments of the distribution are determined, and its covariance matrix compared with that of the multinomial distribution. Finally, the estimation of the parameters of the compound multinomial distribution is discussed. The distribution. In the multinomial distribution, given by n ~~~~~~~~~~~k-i k-i ~X Xk-lj'' 1