ineq {ineq} | R Documentation |
computes the inequality within a vector according to the specified inequality measure
ineq(x,parameter=1,type=c("Gini","RS","Atkinson","Theil","Kolm","var","square.var","entropy")) Gini(x) RS(x) Atkinson(x, parameter=0.5) Theil(x, parameter=0) Kolm(x, parameter=1) var.coeff(x, square=F) entropy(x, parameter=0.5)
x |
a vector containing at least non-negative elements |
parameter |
parameter of the inequality measure |
type |
character string giving the measure used to compute inequality. must be one of the strings in the default argument (the first character is sufficient). defaults to "Gini". |
ineq
is just a wrapper for the inequality measures Gini
,
RS
, Atkinson
, Theil
, Kolm
,var.coeff
,
entropy
.
Gini
is the Gini coefficient, RS
is the the Ricci-Schutz
coefficient (also called Pietraīs measure), Atkinson
gives
Atkinsonīs measure and Kolm
computes Kolmīs measure.
If the parameter in Theil
is 0 Theilīs entropy measure is
computed, for every other value Theilīs second measure is
computed.
ineq(x, type="var")
and var.coeff(x)
respectively
compute the coefficient of variation, while
ineq(x,type="square.var")
and var.coeff(x, square=T)
compute the squared coefficient of variation.
entropy
computes the generalized entropy, which is for
parameter 1 equal to Theilīs entropy coefficient and for parameter
0 equal to the second measure of Theil.
the value of the inequality measure
Achim Zeileis zeileis@ci.tuwien.ac.at
F A Cowell: Measurement of Inequality, 2000, in A B Atkinson / F Bourguignon (Eds): Handbook of Income Distribution, Amsterdam,
F A Cowell: Measuring Inequality, 1995 Prentice Hall/Harvester Wheatshef,
Marshall / Olkin: Inequalities: Theory of Majorization and Its Applications, New York 1979 (Academic Press).
# generate vector (of incomes) x <- c(541, 1463, 2445, 3438, 4437, 5401, 6392, 8304, 11904, 22261) # compute Gini coefficient ineq(x) # compute Atkinson coefficient with parameter=0.5 ineq(x, parameter=0.5, type="Atkinson")