Concentration Measures
computes the concentration within a vector according to the specified concentration measure
conc(x, parameter = NULL, type = c("Herfindahl", "Rosenbluth"), na.rm = TRUE)
Herfindahl(x, parameter = 1, na.rm = TRUE)
Rosenbluth(x, na.rm = TRUE)x |
a vector containing non-negative elements |
parameter |
parameter of the concentration measure (if set to |
type |
character string giving the measure used to compute concentration. must be one of the strings in the default argument (the first character is sufficient). defaults to "Herfindahl". |
na.rm |
logical. Should missing values ( |
conc is just a wrapper for the concentration measures of
Herfindahl and Rosenbluth
(Hall / Tiedemann / Rosenbluth). If parameter is set to NULL
the default from the respective function is used.
the value of the concentration measure
F A Cowell: Measurement of Inequality, 2000, in A B Atkinson / F Bourguignon (Eds): Handbook of Income Distribution, Amsterdam,
F A Cowell: Measuring Inequality, 1995 Prentice Hall/Harvester Wheatshef,
M Hall / N Tidemann: Measures of Concentration, 1967, JASA 62, 162-168.
# generate vector (of sales) x <- c(541, 1463, 2445, 3438, 4437, 5401, 6392, 8304, 11904, 22261) # compute Herfindahl coefficient with parameter 1 conc(x) # compute coefficient of Hall/Tiedemann/Rosenbluth conc(x, type="Rosenbluth")
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