Joint Confidence Bands for Lorenz Curves

This paper applies the recent theoretical method of Richmond (1982) on estimating joint confidence intervals to the case of Lorenz curves. Using the results of Beach and Davidson (1982) on the asymptotic distribution of a vector of Lorenz curve ordinates, the paper provides joint confidence bands that geometrically enclose a sample Lorenz curve with a given level of confidence. The bands are simple to construct and involve simply joining up the confidence intervals for the sample Lorenz curve ordinates by straight lines.