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I wonder if it is fair is to compare the gini coefficient of two discrete distributions with different number of elements. If not, how can I adjust the coefficients for a fair comparison.

In particular, I'm interested in the case when the sum of values in both distributions are equal. For example, minutes played by players of two teams in a basketball game if they have different number of players (10 players in one team, 12 players in the other team) but for both teams sums plays 48 minutes x 5.

Other example, different partitioning of some surface in different regions, how to compare inequality for different partitioning if they have different number of subareas.

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Maybe you could start by calculating a standard error for the Gini coefs. This paper may help: http://web.uvic.ca:8080/~uvecon/research/papers/ewp0202.pdf or this: http://www.urosario.edu.co/economia/documentos/pdf/dt65.pdf

A similar question was asked here: Comparing Gini coefficients: Variance estimation etc. needed? (and so far, no answers).

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