Lorenz Asymmetry Coefficient
Coefficient of asymmetry in the Lorenz curve.
Lasym(x, n = rep(1, length(x)), interval = FALSE, na.rm = TRUE)
- a vector containing non-negative elements.
- a vector of frequencies, must be same length as
- 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.
- logical. Should missing values (
NAs) be removed prior to computations? If set to
FALSEthe computations yield
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.
C Damgaard, J Weiner: Describing Inequality in Plant Size or Fecundity, 2000. Ecology 81(4), 1139--1142.
## 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)