DescTools (version 0.99.57)

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)

Value

the value of the concentration measure

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.

Author

Achim Zeileis <[e-mail]>

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

# 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))