On the rate of strong consistency of Lorenz curves

Miklós Csörgö and Ricardas Zitikis

Statistics & Probability Letters, 1997, vol. 34, issue 2, 113-121

Abstract: Assuming the finiteness of only the second moment, we prove that LIL for Lorenz curves holds true provided that the underlying distribution function and its inverse are continuous. The proof is crucially based on a limit theorem for the general Vervaat process.

Keywords: Lorenz; curve; Lorenz; process; Consistency; Empirical; process; Quantile; process; Vervaat; process; Integrated; Bahadur-Kiefer; process; Law; of; the; iterated; logarithm (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (5)

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