lorenz.curve  R Documentation 
Plots the Lorenz curve that is a graphical representation of the cumulative distribution function. The user can choose between the Lorenz curve with single (default) or multiple weighting of data, for example, taking into account for single or multiple legislature representatives \insertCiteGastwirth_1972lawstat.
lorenz.curve(
data,
weight = NULL,
mul = FALSE,
plot.it = TRUE,
main = NULL,
xlab = NULL,
ylab = NULL,
xlim = c(0, 1),
ylim = c(0, 1),
...
)
data 
input data. If the argument is an array, a matrix, a data.frame, or a list
with two or more columns, then the first column will be treated as a data vector,
and the second column to be treated as a weight vector. A separate weight vector is
then ignored and not required. If the argument is a single column vector, then a user
must enter a separate singlecolumn weight vector.

weight 
onecolumn vector contains factors of single or multiple weights.
Ignored if included in the 
mul 
logical value indicates whether the Lorenz curve with multiple weight
is to be plotted. Default is 
plot.it 
logical value indicates whether the Lorenz curve should be plotted.
Default is 
main 
title of Lorenz curve. Only required if user wants to override the default value. 
xlab 
label of xaxis. Only required if user wants to override the default value. 
ylab 
label of yaxis. Only required if user wants to override the default value. 
xlim 
plotting range of xaxis. Only required if user wants to override the default value. 
ylim 
plotting range of yaxis. Only required if user wants to override the default value. 
... 
other graphical parameters to be passed to the 
The input data should be a data frame with 2 columns. The first column will be treated as data vector, and the second column to be treated as a weight vector. Alternatively, data and weights can be entered as separate onecolumn vectors.
A Lorenz curve plot with xaxis being the culmulative fraction of the data argument, and yaxis being the culmulative fraction of the weight argument. In the legend to the plot, the following values are reported:
RMD 
relative mean deviation of the input data. 
GI 
the Gini index of the input data. 
L(1/2) 
median of the culmulative fraction sum of the data. 
Man Jin, Wallace W. Hui, Yulia R. Gel, Joseph L. Gastwirth
gini.index
## Data on: number of senators (second column) and
## representatives (third column) relative to population size (first column) in 1963
## First column is treated as the data argument.
data(data1963)
## Single weight Lorenz Curve using number of senators as weight argument.
lorenz.curve(data1963)
## Multiple weight Lorenz Curve using number of senators as weight argument.
lorenz.curve(data1963, mul = TRUE)
## Multiple weight Lorenz Curve using number of representatives
## as weight argument.
lorenz.curve(data1963[, "pop1963"], data1963[, "rep1963"], mul = TRUE)
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