aweights and fweights are allowed; see help weights.
Description
ainequal computes a series of inequality measures of the variables in varlist.
It is a revised and upgraded version of inequal7 and inequal published by
Edward Whitehouse in STB-23.
The inequality measures computed are: the "relative mean deviation", the
"coefficient of variation", the "standard deviation of logs", the"Gini index",
the "Mehran index", the "Piesch index", the "Kakwani index", "Theil entropy
index", the "mean log deviation", the "generalised entropy measure" for all
sensitivity [see, e.g., Cowell [1995] and Amiel and Cowell [1999] for a
definition of these measures], the "Atkinson Inequality Index" using the
inequality aversion parameter epslon, and the "Donaldson-Weymark relative
S-Gini" using the distributional sensitivity paramether delta.
In addition ainequal also computes the relative poverty line proposed by
Hoffmann [2001] and Lambert and Lanza [2006], for the Gini, Theil-T and
Theil-L.
Up to 5 variables can be specified in varlist.
Option
format(%fmt) specifies the format to be used to display the estimated
inequality indices. The default is to use a %6.5f format.
delta() specifies the distributional sensitivity parameters used in computing
the relative S-Gini.
epsilon() specifies the inequality aversion parameters used in computing
Atkinson inequality index.
alpha() specifies the sensitivity alpha used on the generalised entropy
measure.
all requests that all possible measures are computed and reported.
By default,
no measure is produced. The Gini and Theil are the deafult measures.
benchmark calculates the Relative Poverty Line (Hoffmann, 2001) or Benchmark
Income Level (Lambert and Lanza, 2006) for the Gini, Theil-L and Theil-T.
The following options specify the measures to be computed and reported.
rmd contain the "relative mean deviation"
cov contain the "coefficient of variation"
sdl contain the "standard deviation of logs"
mehran contain the "Mehran index"
piesch contain the "Piesch index"
kakwani contain the "Kakwani index"
mld contain the "Mean Log Deviation (or generalised entropy measure with
sensitivity parameter 0)"
ge_1 contain the "Generalised entropy measure with sensitivity parameter
-1"
ge2 contain the "Generalised entropy measure with sensitivity parameter 2"
Saved Results
ainequal returns results in r() format.
[Important notice: When multiple
variables are entered in varlist, returned results are for all inequality
measures of the variable listed.]
Author
Joao Pedro Azevedo
jazevedo@ipea.gov.br
IPEA
This is a modified version of the ado inequal7 written by Philippe Van
Kerm.
Reference
Amiel, Y. and Cowell, F.A. (1999) Thinking about Inequality. Cambridge
University Press. United Kingdom.
Coulter Ph. (1989), Measuring Inequality -A Methodological Handbook-,