Dual of the Herfindahl-Hirschman Index

The dual of the HHI reflects the fraction of participants that do have market participation.

Usage

concstats_hhi_d(x, na.rm = TRUE, digits = NULL)

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 a message if the vector contains NA values. NAs will be removed for further computations.

digits

A non-null value for digits specifies the minimum number of significant digits to be printed in values. The default is NULL and will use base R print option.

Value

A single numeric value.

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.

See also

Other Competition/Concentration measures: concstats_all_comp(), concstats_comp(), concstats_dom(), concstats_hhi(), concstats_hhi_min(), concstats_sten()

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 = TRUE, digits = 2)
#> `x` has NA values. NAs have been removed for computation.
#> [1] 0.27