# r.is: Income share of the top p % In affluenceIndex: Affluence (Richness) Indices

## Description

Computes the income share of the top p %.

## Usage

 1 r.is(x, weight, p) 

## Arguments

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

## Details

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.

## Value

 r.2 the value of index

## Author(s)

Alicja Wolny-Dominiak, Anna Saczewska-Piotrowska

## References

Brzezinski M. (2010) Income affluence in Poland. Social Indicators Research, 99, pp. 285-299.

## Examples

 1 2 data(affluence) r.is(affluence\$income, weight = NULL, 0.9) 

affluenceIndex documentation built on Jan. 5, 2022, 5:07 p.m.