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Application of the multivariate economic dispersion indexin inequality evaluation of the provincial capitals

In this paper, we consider a natural extension of Gini index, a widely-used measure of inequality of wealth, from one dimensional economic source to multi-dimensional economic sources, and propose a new index termed as the multi-dimensional economic dispersion index (MI). We propose an estimator of the MI, and study its asymptotic property. We illustrate the usefulness of the new index by an application of evaluating the social inequality level of Chinese major geographical regions and provincial capital cities.