Estimating a measure of dependence between two compositions

In English We present an estimator of the general measure of correlation for bicompositional data for a sample from a bicompositional Dirichlet distribution. Two confidence intervals are also presented and we examine their empirical confidence coefficient using a Monte Carlo study. Finally we apply the estimator to a data set analysing the correlation between the 1967 and 1997 composition of the government GDP for the 50 U.S. states and District of Columbia.