Lasym {ineq}

Lorenz Asymmetry Coefficient

Description

Coefficient of asymmetry in the Lorenz curve.

Usage

Lasym(x, n = rep(1, length(x)), interval = FALSE, na.rm = TRUE)

Arguments

x

a vector containing non-negative elements.

n

a vector of frequencies, must be same length as x.

interval

logical. In the case where there are observations exactly equal to the mean, either an interval of asymmetry coefficients can be returned or their midpoint.

na.rm

logical. Should missing values (NAs) be removed prior to computations? If set to FALSE the computations yield NA.

Details

Damgaard and Weinter (2000) have suggested an additional measure for comparing inequality in in distributions (specifically for describing plant size or fecundity distributions) to accompany the Lorenz curve and Gini coefficient. It assesses the asymmetry in the Lorenz curve of the distributions.

References

C Damgaard, J Weiner: Describing Inequality in Plant Size or Fecundity, 2000. Ecology 81(4), 1139–1142.

See Also

Lc, Gini

Examples

## Examples from Damgaard & Weiner (2000)

## Figure 2
x <- rep(c(50/9, 50), c(9, 1))
y <- rep(c(2, 18), c(5, 5))
plot(table(x))
plot(table(y))

## statistics
mean(x)
mean(y)
Gini(x, corr = TRUE)
Gini(y, corr = TRUE)
Lasym(x)
Lasym(y)

## Figure 3
plot(Lc(x))
lines(Lc(y), col = "slategray")
abline(1, -1, lty = 2)