Csörgö, Miklós; Zitikis, Ricardas - In: Statistics & Probability Letters 34 (1997) 2, pp. 113-121
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.