Parameter specifying the extended Gini index (must be strictly positive).
decomp
Character string specifying the decomposition. This must be one of "BM"
for the Bhattacharya and Mahalanobis (1967) decomposition or "YL" for the
Yitzhaki and Lerman (1991) decomposition.
ELMO
When ELMO is TRUE, a "maximum" between-group inequality index is
estimated using the Elbers and alii method (2005).
Value
A list of class "ICI" with components:
ineq
a list with components SGini (value of inequality index)
and param (value of parameter).
decomp
a list with components within (value of within-group
inequality), between (value of between-group inequality),
overlap (value of residual inequality) when decomp = "BM"
or stratif (value of residual inequality) when
decomp = "YL" and, if ELMO is TRUE,
betweenELMO (value of maximum between-group inequality).
intra
a list with components SGiniGroups (the subgroup values of
inequality index) and contribSGiniGroups (the contribution of each
subgroup to the total within-group inequality).
stratif
only if decomp = "YL", a list with components
stratifGroups (the index of stratification for each subgroup) and
contribStratifGroups (the contribution of each subgroup to the total
stratification).
ws
a list with components wIntra (the subgroup weights)
and sIntra (the subgroup shares of x).
nas
a list with NA counts, including components xNA,
zNA, wNA and totalNA.
References
Bhattacharya N., Mahalanobis B. (1967) Regional disparities in household
consumption in India. Journal of the American Statistical Association,
62 (317), pp. 143-161.
Cowell F.A. (2000) Measurement of Inequality. In Atkinson A.B., Bourguignon F.
(Eds.) Handbook of Income Distribution. Amsterdam, Elsevier,
Vol. 1, pp. 87-166.
Schechtman E., Yitzhaki S. (2008) Calculating the Extended Gini Coefficient from
Grouped Data: A Covariance Presentation. Bulletin of Statistics &
Economics, 2(S08), pp. 64-69.
Yitzhaki S., Lerman R. (1991) Income Stratification and Income Inequality.
Review of Income and Wealth, 37(3), pp. 313-.29.