Atkinson
Calculate the Atkinson Index
The Atkinson index is an inequality measure and is useful in determining which end of the distribution contributed most to the observed inequality.
 Keywords
 univar
Usage
Atkinson(x, n = rep(1, length(x)), parameter = 0.5, na.rm = FALSE)
Arguments
 x
 a vector containing at least nonnegative elements.
 n
 a vector of frequencies, must be same length as x.
 parameter
 parameter of the inequality measure (if set to
NULL
the default parameter of the respective measure is used).  na.rm
 logical. Should missing values be removed? Defaults to FALSE.
Value

the value of the Akinson Index.
Note
This function was previously published as ineq()
in the ineq package and has been
integrated here without logical changes, but with some extensions for NA
handling and the use of weights.
References
Cowell, F. A. (2000) Measurement of Inequality in Atkinson, A. B. / Bourguignon, F. (Eds): Handbook of Income Distribution. Amsterdam.
Cowell, F. A. (1995) Measuring Inequality Harvester Wheatshef: Prentice Hall.
Marshall, Olkin (1979) Inequalities: Theory of Majorization and Its Applications. New York: Academic Press.
See Also
See Herfindahl
, Rosenbluth
for concentration measures and
ineq()
in the package ineq for additional inequality measures
Examples
# generate vector (of incomes)
x < c(541, 1463, 2445, 3438, 4437, 5401, 6392, 8304, 11904, 22261)
# compute Atkinson coefficient with parameter=0.5
Atkinson(x, parameter=0.5)