Description Usage Arguments Details Value Author(s) References Examples
Computes the income share of the top p %.
1 | r.is(x, weight, p)
|
x |
the vector of income |
weight |
vector of weights |
p |
the order of quantile. Must be in [0,1] as probability |
The most popular measure of richness which takes a form (with weights w_1,w_2,...,w_n):
R^{IS}(\boldsymbol{x},\boldsymbol{w},p) = \frac{∑_{i=1}^n{x_iw_i}\boldsymbol{1}_{x_i>q_{w(1-p)}}}{∑_{i=1}^n{x_iw_i}},
where q_{w(1-p)} is the (1-p) quantile of the population and \boldsymbol{1}_{(\cdot)} denotes the indicator function, which is equal to 1 when its argument is true and 0 otherwise. There is always p % of rich individualsa in the population.
r.2 |
the value of index |
Alicja Wolny-Dominiak, Anna Saczewska-Piotrowska
Brzezinski M. (2010) Income affluence in Poland. Social Indicators Research, 99, pp. 285-299.
1 2 |
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