r.is {affluenceIndex} R Documentation

## Income share of the top p %

### 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 Sączewska-Piotrowska

### References

Brzeziński 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)


[Package affluenceIndex version 1.0 Index]