Dual of the Herfindahl-Hirschman Index

Dual of the Herfindahl-Hirschman Index

Usage

concstats_hhi_d(x, na.rm = TRUE)

Arguments

x

A non-negative numeric vector.

na.rm

A logical vector that indicates whether NA values should be excluded or not. Must be either TRUE or FALSE. The default is TRUE. If set to FALSE the computation yields NA if the vector contains NA values.

Value

A single numeric measure in decimal form.

Details

concstats_hhi_d is the dual of the HHI index, which indicates the percentage which represents the fraction of the banks that do not have market participation.

References

Chang, E. J., Guerra, S. M., de Souza Penaloza, R. A. & Tabak, B. M. (2005) Banking concentration: the Brazilian case. In Financial Stability Report. Brasilia: Banco Central do Brasil, 4: 109-129.

Examples

# a vector of market shares
x <- c(0.35, 0.4, 0.05, 0.1, 0.06, 0.04)
concstats_hhi_d(x)
#> [1] 0.4448146
# a vector with NA values
x <- c(0.4, 0.2, 0.25, 0.1, 0.05, NA)
concstats_hhi_d(x, na.rm = FALSE)
#> [1] NA