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oc Eq. (23) adopts the form: I6(F) := K [ e L(F)] dF(x) - 1]. I It~ (24) (24) where fB > 0 is a sensitivity parameter. 48 The family of indices Eq. (24)-usually known as Kolm indices (Kolm, 1976a)-form the translation-invariant counterparts of the family Eq.

1. 2. 3. 4. 1. 2. 3. Extensions 4. 1. 1. 2. 3. 2. Distance, rank and inequality 106 106 107 109 109 109 110 1 l1 * This work is partially supported by an ESRC Grant No. R000 23 5725. I am grateful to Tasneem Azad, Ceema Namazie, Lupin Rahman and Silva Ule for research assistance, and to Ramses Abul Naga, Yoram Amiel, Tony Atkinson, Francois Bourguignon, Russell Davidson, Udo Ebert, James Foster, Joanna Gomulka, Stephen Jenkins, Serge-Christophe Kolm, Teresa Kowalczyk, Peter Lambert, Patrick Moyes, Amartya Sen, Jacques Silber, Maria-Pia Victoria-Feser and Shlomo Yitzhaki for valuable comments on earlier versions.

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