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The Gini Index for a Quadratic Pen's Parade


  • Tomson Ogwang

    () (Department of Economics, Brock University)


In this paper, we provide alternative derivations of the Gini index for a quadratic Pen's parade without imposing unnecessary restrictions on its parameters. It turns out that in sufficiently large samples the reference value of the Gini index for a quadratic Pen's parade is 1/2 (as opposed to 1/3 in the case of a linear Pen's parade). Whether the Gini index is equal to, less than or greater than the reference value in these cases depends on whether or not Pen's parade passes through, above or below the origin, respectively.

Suggested Citation

  • Tomson Ogwang, 2010. "The Gini Index for a Quadratic Pen's Parade," Working Papers 1006, Brock University, Department of Economics.
  • Handle: RePEc:brk:wpaper:1006

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    File Function: First version, November 2010
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    More about this item


    Gini Index; Augmented Quadratic Pen's Parade; Parsimonious Quadratic Pen's Parade; Linear Pen's Parade;

    JEL classification:

    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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