zenga {ineqJD}

Point and synthetic Zenga 2007 indexes

Description

Computes point and synthetic Zenga 2007 indexes on a variable Y.

Usage

zenga(x)

Arguments

x

List containing: 'yh', the vector of unique values of the variable Y whose Bonferroni index is computed; 'Phl', the matrix of absoute cumulative frequencies; 'Qhlk', the matrix of cumlative sums of y or its sources. x is usually the result of dataProcessing function. More details are given in the "Details" section and dataProcessing help page.

Details

zenga compute point and synthetic Zenga 2007 indexes on a variable y, e.g. income, on a statistical population that could be partitioned in g subpopultions and could be considered as sum of c sources, e.g. income sources.

Value

index

String denoting computed index.

decomposition

Array containing the decompositions.

x

Object usually of class dataProcessed passed as input.

Author(s)

Alberto Arcagni, Igor Valli

References

Zenga M. M.(2007). Inequality Curve and Inequality Index based on the Ratios between lower and upper means . Statistica and Applicazioni, V (1), 3-27.

Zenga M. (2015) Joint decomposition by subpopulations and sources of the point and synthetic Zenga(2007) Index I(Y). Statistica and Applicazioni, XIII (2), pp.163-195.

Examples

G <- c(1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 3, 3) # vector denoting group membership
X1 <- c(0, 0, 0, 500, 700, 300, 750, 1000, 500, 500, 500, 1000) # vector of the first source
X2 <- c(0, 0, 0, 500, 300, 700, 750, 500, 700, 700, 1000,600) # vector of the second source
data <- data.frame(G, X1, X2) # no sample weights are considered
x <- dataProcessing( # data preparation
  units = data[, c('X1', 'X2')],
  groups = data[, 'G'],
)
  
decomposition <- zenga(x)
decomposition