r.is: Income share of the top p %

In affluenceIndex: Affluence Indices

Description

Computes income share of the top p %.

Usage

r.is(x, p)

Arguments

x	the vector of income
p	the order of quantile. Must be in [0,1] as probability

Details

The most popular measure of richness which takes a form:

R^{IS}(\mathbf{x},p)=\frac{∑_{i=1}^n x_i \mathbf{1}_{x_i>q_{1-p}}}{∑_{i=1}^n x_i},

where q_{1-p} is the (1-p) quantile of the population and \mathbf{1} denotes the indicator function, which is equal to 1 when its argument is true and 0 otherwise. There is always p % of rich units in the population.

Value

the value of index

Author(s)

Alicja Wolny-Dominiak, Anna S<b1>czewska-Piotrowska

References

Brzezi<f1>ski M. (2010) Income affluence in Poland. Social Indicators Research, 99, pp. 285-299.

Examples

data(affluence)
r <-r.is(affluence$income,0.9)
print(r)

affluenceIndex documentation built on May 2, 2019, 8:20 a.m.