Gini: Gini coefficient

In wINEQ: Inequality Measures for Weighted Data

Gini coefficient

Description

Computes Gini coefficient of a given variable taking into account weights.

Usage

Gini(X, W = rep(1, length(X)))

Arguments

X	is a data vector
W	is a vector of weights

Details

Gini coefficient is given by:

G = \frac{ \sum_{i=1}^n \sum_{j=1}^n \mid x_{i} - x_{j} \mid}{2n^{2} \overline{x}}

Value

The value of Gini coefficient.

References

Dixon P. M., Weiner, J., Mitchell-Olds, T., and Woodley, R.: (1987) Bootstrapping the Gini Coefficient of Inequality. Ecology , Volume 68 (5)

Firebaugh G.: (1999) Empirics of World Income Inequality, American Journal of Sociology

Deininger K.; Squire L.: (1996) A New Data Set Measuring Income Inequality, The World Bank Economic Review, Vol. 10, No. 3

Examples

# Compare weighted and unweighted result
X=1:10
W=1:10
Gini(X)
Gini(X,W)

data(Tourism)
#Gini coefficient for Total expenditure with sample weights
X=Tourism$`Total expenditure`
W=Tourism$`Sample weight`
Gini(X,W)

wINEQ documentation built on April 21, 2023, 5:06 p.m.