Lasym

0th

Percentile

Lorenz Asymmetry Coefficient

Coefficient of asymmetry in the Lorenz curve.

Keywords
misc
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

Aliases
  • Lasym
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)

Documentation reproduced from package ineq, version 0.2-13, License: GPL-2 | GPL-3

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