sgini {acid} | R Documentation |

## Single-parameter Gini Coefficient

### Description

This function computes the Single-parameter Gini coefficient (a.k.a. generalised Gini coefficient or extended Gini coefficient) for a vector of observations.

### Usage

```
sgini(x, nu = 2, w = NULL)
```

### Arguments

`x` |
a vector of observations. |

`nu` |
a scalar entailing the parameter that tunes the degree of the policy maker's aversion to inequality. See Yaari, 1988 for details. |

`w` |
a vector of weights. |

### Value

`Gini` |
the Gini coefficient for the sample. |

`bcGini` |
the bias-corrected Gini coefficient for the sample. |

### Author(s)

Alexander Sohn

### References

van Kerm, P. (2009): sgini - Generalized Gini and Concentration coefficients (with factor decomposition) in Stata', CEPS/INSTEAD, Differdange, Luxembourg.

Yaari, M.E. (1988): A Controversal Proposal Concerning Inequality Measurement, Journal of Economic Theory, Vol. 44, pp. 381-397.

### Examples

```
set.seed(123)
x <- rnorm(100,10,1)
gini(x)$Gini
sgini(x,nu=2)$Gini
```

[Package

*acid*version 1.1 Index]