Description Usage Arguments Details Value Author(s) References Examples
Computes measure of affluence analogous to the poverty index of Chakravarty (1983).
1 |
x |
the income vector |
k |
multiple of the median income |
beta |
parameter of the index: |
Peichl et. al (2008) defined an affluence index
R_{β}^{Cha}(\mathbf{x},ρ)=\frac{1}{n} ∑_{i=1}^{n} ≤ft( 1- ≤ft( \frac{ρ}{x_i} \right)^{β} \right)_{+}, β >0,
where x_i is an income of individual i, n is the number of individuals, ρ is the richness line. Index satisfies transfer axiom T1 (concave): a richness index should increase when a rank-preserving progressive transfer between two rich people takes place.
r |
elements of the sum in the index formula |
r.cha |
the value of index |
Alicja Wolny-Dominiak
1. Chakravarty S.R. (1983) A new index of poverty. Mathematical Social Sciences, 6, pp. 307-313.
2. Peichl A., Schaefer T., Scheicher C. (2008) Measuring richness and poverty - A micro data application to Europe and Germany. IZA Discussion Paper No. 3790, Institute for the Study of Labor (IZA).
1 2 3 |
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