gini.den {acid} R Documentation

## Gini Coefficient for an Income Distribution

### Description

This function approximates the Gini coefficient for a distribution specified by a vector of densities and a corresponding income vector. A point mass at zero is allowed.

### Usage

```gini.den(incs, dens, pm0 = NA,
lower = NULL, upper = NULL)
```

### Arguments

 `incs` a vector with sorted income values. `dens` a vector with the corresponding densities. `pm0` the point mass for zero incomes. If not specified no point mass is assumed. `lower` the lower bound of the income range considered. `upper` the upper bound of the income range considered.

### Value

 `Gini` the approximation of the Gini coefficient. `pm0` the point mass for zero incomes used. `lower` the lower bound of the income range considered used. `upper` the upper bound of the income range considered used.

Alexander Sohn

### References

Cowell, F.A. (2000): Measurement of Inequality, in: Atkinson and Bourguignon (eds.), Handbook of Income Distribution, pp. 1-86, Elsevier, Amsterdam.

### See Also

`weighted.gini`

### Examples

```mu<-2
sigma<-1
incs<-c(seq(0,500,by=0.01),seq(501,50000,by=1))
dens<-dLOGNO(incs,mu,sigma)
plot(incs,dens,type="l",xlim=c(0,100))
gini.den(incs=incs,dens=dens)\$Gini
gini(rLOGNO(5000000,mu,sigma))\$Gini
2*pnorm(sigma/sqrt(2))-1 #theoretical Gini
```

[Package acid version 1.1 Index]