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Relative Inequality, Absolute Inequality, and Welfare: Large Sample Tests for Partial Orders

John A Bishop, S Chakraborti and Paul D Thistle

Bulletin of Economic Research, 1994, vol. 46, issue 1, 41-59

Abstract: Two general welfare criteria, mean-relative Lorenz and mean-absolute Lorenz dominance, induce partial orders on income distributions. We propose asymptotically distribution-free inference procedures, based on the union-intersection principle, for these two welfare criteria. Unlike classical tests, our procedures allow one to distinguish among dominance, equality, and noncomparability. We show that union-intersection tests must be used to test for partial orders, and that the statistical ordering is acyclic. The tests are applied to compare the UK distribution of real family income to five other countries. Copyright 1994 by Blackwell Publishing Ltd and the Board of Trustees of the Bulletin of Economic Research

Date: 1994
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Citations: View citations in EconPapers (9)

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