rank_gwt: Generalized weighted ranking function

In rineq: Concentration Index and Decomposition for Health Inequalities

Generalized weighted ranking function

Description

In the case of ties, the ordinary rank_wt() function uses the order in the original data. This is the same approach as in the Stata code provided by O’Donnell et al. (2008) in the original World Bank publication, but depends on the arbitrary initial order in the data The Stat conindex code however uses uses the generalized weighted rank implementation published by van Ourti (2004). For Stata compatibility use rank_gwt()

Usage

rank_gwt(x, wt)

Arguments

x	numeric vector
wt	weights

Details

The formula notation in van Ourti (2004) seems to rely on absolute an absolute deduction of 1 unit of monetary income value. This only works in the integer case. Instead, this this implementation uses the next lowest x value, respectively the next lowest rank, to calculate the proportion of the inequality variable up to the respective value

Value

A numeric vector containing weighted fractional ranks of the elements of x.

References

van Ourti, T., 2004. Measuring horizontal inequity in Belgian health care using a Gaussian random effects two part count data model. Health Economics, 13: 705–724.

Examples

x <- sample(1:10, size = 10, replace = TRUE)
x.weight <- seq(0, 1, length.out = 10)
rank_gwt(x, wt = x.weight)

rineq documentation built on April 4, 2025, 4:47 a.m.