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One desirable property of an inequality measure is that it satisfies the principle of scale independence (that is, is a scale-free index). (a) Define what

One desirable property of an inequality measure is that it satisfies the principle of scale

independence (that is, is a scale-free index).

(a) Define what is meant by the principle of scale independence.

(b) Show why the Gini coefficient satisfies the principle of scale independence.

(c) Show why the coefficient of variation satisfies the principle of scale independence.

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