Gini coefficient sensitive to "skewness" of Lorenz curve?

Dear list,

I have already posted to sci.stat.consult, however, I was hoping that there might be some experience in the R community on the following question:

I am wondering whether anyone has experience with variants of (parametric) Gini coefficients (or alternatives) which allow for reflecting/penalising the skewness of a Lorenz curve?

For my part, I just stumbled across the following:
http://www.accessecon.com/Pubs/EB/2010/Volume30/EB-10-V30-I2-P146.pdf

While appealing to me, I did not find any alternatives, nor any reported use of this variant; nor is there any account of its liabilities (e.g., strategies to estimate the parameters).

...

P.S.: My background is not in economics/econometrics or the like, rather i am currently evaluating the use of inequality measures for software measurement. See for some background:
http://dx.doi.org/10.1109/ICSM.2011.6080798

I'd appreciate any hint in this direction!