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In a recent paper Helpman, Melitz and Yeaple argue firm heterogeneity leads to self-selection in the structure of international commerce. Only the most productive firms find it profitable to meet the higher costs associated with FDI; the next set of firms finds it profitable to serve foreign markets through exporting; while the least productive firms serve only the domestic market. The paper tests this assumption using the concept of stochastic dominance. Robust support is found for the model, the productivity distribution of multinational firms is found to dominate that of export firms, which in turn dominates that of non-exporters.