PROBABILISTIC HUMAN DEVELOPMENT INDICES
AbstractAlternative indicators to the Human Development Index adopting the same components but using other forms of combination are discussed here. The basic idea is to transform the initial measurements into probabilities of achieving the worst performance. Joint probabilities are compared to the proximity to the frontier generated by the algorithm of Data Envelopment Analysis with constant returns to scale and constant inputs to scores applying the Choquet integral with respect to capacities that take into account the substitutability between the components of the index. A high correlation between the results of different forms of composition was found, demonstrating the robustness of the Human Development Index. On the other hand, advantages of different alternatives of composition could be noticed.
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