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Gini Coefficient

  1. Jul 5, 2013 #1
    Hi I was looking at how to calculate the GINI coefficient and saw two different statements from two websites.

    Statement 1:
    It has been shown that the sample Gini coefficients defined above need to be multiplied by in order to become unbiased estimators for the population coefficients -http://mathworld.wolfram.com/GiniCoefficient.html

    Statement 2:
    There does not exist a sample statistic that is in general an unbiased estimator of the population Gini coefficient, like the relative mean difference.-http://en.wikipedia.org/wiki/Gini_coefficient

    My assumption is because wolfram is using Mu and not X-bar. Any thoughts/help?
  2. jcsd
  3. Jul 5, 2013 #2

    Stephen Tashi

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    Science Advisor

    That's an interesting conflict. Perhaps the [itex]\mu [/itex] mentioned on the Wolfram page is the population mean instead of the sample mean.
  4. Jul 5, 2013 #3
    that's what I thought; however, the relative mean difference doesn't have a mu in it, and it doesn't have a unbiased estimator either
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