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The Atkinson index is an inequality measure and is useful in determining which end of the distribution contributed most to the observed inequality.

Atkinson(x, n = rep(1, length(x)), parameter = 0.5, na.rm = FALSE)

the value of the Akinson Index.

a vector containing at least non-negative elements.

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

parameter of the inequality measure (if set to NULL the default parameter of the respective measure is used).

NULL

logical. Should missing values be removed? Defaults to FALSE.

Achim Zeileis <Achim.Zeileis@R-project.org>

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.

Atkinson, A. B. (1970): On the Measurment of Inequality, Journal of Economic Theory, Vol. 2(3), pp. 244-263.

See Herfindahl, Rosenbluth for concentration measures and ineq() in the package ineq for additional inequality measures

Herfindahl

Rosenbluth

ineq()

# generate vector (of incomes) x <- c(541, 1463, 2445, 3438, 4437, 5401, 6392, 8304, 11904, 22261) # compute Atkinson coefficient with parameter=1 Atkinson(x, parameter=1)

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