r.med: Average affluence gap

In affluenceIndex: Affluence (Richness) Indices

Average affluence gap

Description

Computes the average affluence gap of population.

Usage

r.med(x, weight, k)

Arguments

x	income vector
weight	vector of weights
k	multiple of the median income

Details

Medeiros (2006) defined an average affluence gap. Weighted gap (with weights w_1,w_2,...,w_n) is given by:

R^{Me}= \frac{\sum_{i=1}^n \max\{x_i-\rho_w,0\}w_i}{\sum_{i=1}^nw_i},

where x_i is an income of individual i, n is the number of individuals, \rho_w is the richness line. Medeiros' index is not standarized and is an absolute measure of richness.

Value

gap	the value of the average affluence gap

Author(s)

Alicja Wolny-Dominiak, Anna Saczewska-Piotrowska

References

Medeiros M. (2006) The rich and the poor: the construction of an affluence line from the poverty line. Social Indicators Research, 78, pp. 1-18.

Examples

data(affluence)
r.med(affluence$income, weight = NULL, 2)

affluenceIndex documentation built on Sept. 22, 2024, 1:06 a.m.