Lorenz ordering of means and medians

Barry C. Arnold and Jose A. Villaseñor

Statistics & Probability Letters, 1986, vol. 4, issue 1, 47-49

Abstract: Increasing sample size decreases the inequality of the sample mean as measured by the Lorenz order. A similar result occurs in the case of sample medians from symmetric distributions. In certain cases the sample median can be expected to be Lorenz ordered with respect to the sample mean. The problem of determining sufficient conditions for such Lorenz ordering remains open.

Keywords: Lorenz; order; density; crossings; U-statistics; means; medians (search for similar items in EconPapers)
Date: 1986
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Citations: View citations in EconPapers (5)

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