Electronic Proceedings of the Eighth Annual International Conference on Technology in Collegiate MathematicsHouston, Texas, November 16-19, 1995Paper C030Exploring the Gini Index of Inequality with Derive |
Robert A. LeslieMath Department Agnes Scott College Decatur, GA 30030 USA Phone: (404) 638-6434 Fax: (404) 638-6177 rleslie@ness.scottlan.edu |
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ABSTRACT
Suppose that X represents the per capita income of a certain region, with probability density function f(x) for x0 and F(x), the cumulative distribution function of X, for x0. For each number a in [0,1] the function g(a) is defined as that fraction of total regional income which is attributable to the poorest ( 100alpha)% of the given population. For example, it might be that the poorest 40% of the population garners only 15% of the income.Keyword(s): Derive, statistics