| r.hc {affluenceIndex} | R Documentation |
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)