The formalization of the intuitive idea of statistical indexes

T. Gastaldi
After a brief analysis of the concept of statistical index the author explains the general requirements which a statistical index has to satisfy. The main requirement is for the characteristics actually measured by the index to coincide with the characteristic to be quantified of which one usually has an intuitive idea. Formally this means that the total preordination which the index induces on the set D of the possible distributions must not contradict the preordination...