A bias correction method for inequality measures is proposed. The coefficie
nt of variation squared (CV2) is used as an example and its sampling proper
ties, bias, and mean squared error are provided. CV2 is shown to be downwar
d biased for positively skewed distributions. A bias corrected estimator is
provided. (C) 2001 Elsevier Science B.V. All rights reserved. JEL classifi
cation: C13; D31.