Jenkins {wINEQ} | R Documentation |
Jenkins, Cowell and Flachaire
Description
Computes Jenkins as well as Cowell and Flachaire inequality measure of a given variable taking into account weights.
Usage
Jenkins(X, W = rep(1, length(X)), alfa = 0.8)
Arguments
X |
is a data vector |
W |
is a vector of weights |
alfa |
is the Jenkins coefficient parameter |
Details
Jenkins coefficient is given by:
where GL is Generalized Lorenz curve.
Cowell and Flachaire coefficient with alpha parameter is given by:
for , and
for .
Value
The value of Jenkins, Cowell and Flachaire coefficient.
References
Jenkins S. P. and P. J. Lambert: (1997) Three ‘I’s of Poverty Curves, with an Analysis of U.K. Poverty Trends
Cowell F. A.: (2000) Measurement of Inequality, Handbook of Income Distribution
Cowell F. A., Flachaire E.: (2017) Inequality with Ordinal Data
Examples
# Compare weighted and unweighted result
X=1:10
W=1:10
Jenkins(X)
Jenkins(X,W)
data(Tourism)
#Jenkins, Cowell and Flachaire coefficients for Total expenditure with sample weights
X=Tourism$`Total expenditure`
W=Tourism$`Sample weight`
Jenkins(X,W)
[Package wINEQ version 1.2.0 Index]