r.hc: Richness headcount ratio

In affluenceIndex: Affluence (Richness) Indices

Richness headcount ratio

Description

Computes the richness headcount ratio.

Usage

r.hc(x, weight, k)

Arguments

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

Details

Richness headcount ratio is a proportion of the population with incomes above the affluence line. Weighted version (with weights w_1,w_2,...,w_n) of this ratio is given by:

R^{HC}(\boldsymbol{x},\boldsymbol{w},\rho_w) = \frac{\sum_{i=1}^n \boldsymbol{1}_{x_i > \rho_w}w_i}{\sum_{i=1}^n{w_i}},

where x_i is an income of individual i, n is the number of individuals, \rho_w is the richness line,\boldsymbol{1}_{(\cdot)} denotes the indicator function, which is equal to 1 when its argument is true and 0 otherwise.

Value

count.rich	the number of the rich
r.hc	the value of index

Author(s)

Alicja Wolny-Dominiak, Anna Saczewska-Piotrowska

References

1. Brzezinski M. (2010) Income affluence in Poland. Social Indicators Research, 99, pp. 285-299.
2. Saczewska-Piotrowska A. (2015) Identification of determinants of income richness using logistic regression model. Zarzadzanie i Finanse. Journal of Management and Finance, 4, Part 2, pp. 241-259 (in Polish).

Examples

data(affluence)
affluence$weight <- rep(1, nrow(affluence))
r.hc(affluence$income, affluence$weight, 3)

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