Lorenz order with common finite support

Barry C. Arnold () and D. V. Gokhale
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Barry C. Arnold: University of California
D. V. Gokhale: University of California

METRON, 2017, vol. 75, issue 2, No 7, 215-226

Abstract: Abstract A special case of the Lorenz order of some interest is that in which the distributions being ranked with respect to inequality share a common finite support set. A characterization of this partial order is provided, together with the identification of operations that we call Robin Hood exchanges which play a parallel role in the finite support setting to that played by Robin Hood (or progressive) transfers in the general Lorenz ordering case. As an example of a setting in which variables with common finite support are compared with regard to inequality, two classical data sets involving social mobility are considered.

Keywords: Lorenz order; Robin Hood exchange; Progressive exchange; Robin Hood transfer; Majorization; Social mobility (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s40300-016-0101-z

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