LowerSum: Weighted lower sum

In wINEQ: Inequality Measures for Weighted Data

Weighted lower sum

Description

Computes weighted sum of values not greater then a quantile derived for the given probability.

Usage

LowerSum(X, W = rep(1, length(X)), p = 0.5)

Arguments

X	is a numeric data vector
W	is a vector of weights
p	is a probability to derive corresponding quantile

Details

Calculates weighted sum of values not greater then a quantile derived for the given probability based on cumulative distribution. Linear interpolation is applied to deal with a frequency distribution.

Value

The weighted sum of values not greater then a quantile.

Examples

# Suppose X represents incomes. Compare total incomes with incomes of poorer half of population.
X=1:10
W=10:1
sum(W*X)
LowerSum(X,W,0.5)

wINEQ documentation built on April 23, 2026, 5:07 p.m.