-glcurve-: a program for generalised Lorenz
curves and related structures
| Speakers |
Stephen Jenkins, University of Essex and
Philippe Van Kerm, FUNDP, Namur
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The well-known Lorenz curve for a variable y plots L(p(y)) against p(y)
where p(y) is the cumulative distribution function of y and L(p(y)) is
the cumulative share of y up to p(y) (i.e. it is a plot of cumulative
income shares against cumulative population share). The generalised
Lorenz curve, is the Lorenz curve with y-ordinates multiplied by the
mean of y. This tool is frequently used by economists to present and
compare income distributions because of the relation existing between
GL dominance and traditional second-order stochastic dominance and the
close link between these concepts and social welfare comparisons.
This talk introduces glcurve, a program basically designed to
draw generalised Lorenz curves for a given continuous variable.
glcurve has two attractive features: on the one hand it is
flexible in the sense that it can be used to draw related graphs such as
Lorenz curves, concentration curves or 'TIP' curves and, on the other hand,
permits easy visual dominance checks by population subgroups. The interest of
generalised Lorenz curves comparisons will be emphasised and the simple data
transformations needed to obtain related structures will also be illustrated.
Reference:
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Jenkins S.P. and P. Van Kerm. 1999.
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sg107: Generalized Lorenz Curves and
Related Graphs. Stata Technical Bulletin 48: 25—29.
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