DescTools (version 0.99.15)

Herfindahl: Concentration Measures

Description

Computes the concentration within a vector according to the specified concentration measure.

Usage

Herfindahl(x, n = rep(1, length(x)), parameter = 1, na.rm = FALSE)
Rosenbluth(x, n = rep(1, length(x)), na.rm = FALSE)

Arguments

x
a vector containing non-negative elements
n
a vector of frequencies (weights), must be same length as x.
parameter
parameter of the concentration measure (if set to NULL the default parameter of the respective measure is used)
na.rm
logical. Should missing values be removed? Defaults to FALSE.

Value

  • the value of the concentration measure

References

Cowell, F. A. (2000) Measurement of Inequality, in Atkinson, A. B., Bourguignon, F. Handbook of Income Distribution. (Eds) Amsterdam Cowell, F. A. (1995) Measuring Inequality. Prentice Hall/Harvester Wheatshef Hall, M., Tidemann, N. (1967) Measures of Concentration, JASA 62, 162-168.

See Also

See Gini, Atkinson and ineq() for additional inequality measures

Examples

Run this code
# generate vector (of sales)
x <- c(541, 1463, 2445, 3438, 4437, 5401, 6392, 8304, 11904, 22261)

# compute Herfindahl coefficient with parameter 1
Herfindahl(x)

# compute coefficient of Hall/Tiedemann/Rosenbluth
Rosenbluth(x)

# Some more examples
Herfindahl(c(261,29,33,15,39,28,95,5,6,28,69,8,105,38,15))
Herfindahl(c(783,121,112,70,201,153,425,19,37,126,325,51,442,193,41))

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