Factor decomposition of spatial income inequality: a revision
Duro and Esteban (1998) proposed an additive decomposition of Theil populationweighted index by four income multiplicative factors (in spatial contexts). This note makes some additional methodological points: first, it argues that interaction effects are taken into account in the factoral indexes although only in a fairly restrictive way. As a consequence, we suggest to rewrite the decomposition formula as a sum of strict Theil indexes plus the interactive terms; second, it might be instructive to aggregate some of the initial factors; third, this decomposition can be immediately extended to the between- and within-group components.
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- Theil, Henri & Sorooshian, Cyrus, 1979. "Components of the change in regional inequality," Economics Letters, Elsevier, vol. 4(2), pages 191-193.
- Ram Rati, 1992. "International inequalities in human development and real income," Economics Letters, Elsevier, vol. 38(3), pages 351-354, March.
- Theil, Henri, 1979. "The measurement of inequality by components of income," Economics Letters, Elsevier, vol. 2(2), pages 197-199.
- Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
- Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July.
- Goerlich Gisbert, Francisco J., 2001. "On factor decomposition of cross-country income inequality: some extensions and qualifications," Economics Letters, Elsevier, vol. 70(3), pages 303-309, March.
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