Lorenz: The Lorenz Curve
In SciencesPo: A Tool Set for Analyzing Political Behavior Data

Description Usage Arguments Details Author(s) See Also Examples

Computes the (empirical) ordinary and generalized Lorenz curve of a vector.

Lorenz(x, n = rep(1, length(x)), plot = FALSE, ...)

## Default S3 method:
Lorenz(x, n = rep(1, length(x)), plot = FALSE, ...)

`x`	A vector of non-negative values.
`n`	A vector of frequencies of the same length as `x`.
`plot`	A logical. If TRUE the Lorenz curve will be plotted.
`...`	Additional arguements (currently ignored)

The Gini coefficient ranges from a minimum value of zero, when all individuals are equal, to a theoretical maximum of one in an infinite population in which every individual except one has a size of zero. It has been shown that the sample Gini coefficients originally defined need to be multiplied by n/(n-1) in order to become unbiased estimators for the population coefficients.

Daniel Marcelino, dmarcelino@live.com.

Gini, GiniSimpson.

# generate a vector (of incomes)
x <- c(778, 815, 857, 888, 925, 930, 965, 990, 1012)
# compute Lorenz values
Lorenz(x)
# generate some weights:
wgt <- runif(n=length(x))
# compute the lorenz with especific weights
Lorenz(x, wgt)