Measures of inequalities in sampling from finite population

Responsable du projet |
Yves Tillé |

Collaborateur |
Matti Langel |

Résumé |
Main Goals of the project: Measuring inequality is an important
issue to apprehend economical, social or political questions.
Inequality indexes are complex statistics which are most often
calculated using samples and therefore, require specific methods to
estimate their variances. The main goals of this project is to
provide new insights to this question, and more generally, to
propose solutions in order to improve the quality of inequality
measurements in the sampling from finite population context. The
project in its context: In 2004, Eurostat launched a new instrument
for measuring the Social Income and Life Condition (EU-SILC).
Switzerland joined this program in 2006 whose aim is to give
comparable national estimates for Laeken poverty and inequality
indicators. Laeken indicators of social inclusion are a set of 18
measures of inequality, poverty and social inclusion selected at
the Laeken European Council in 2001. The Laeken indicators were
proposed for their simple interpretation. However, from a
statistical point of view, it seems important to evaluate the
adequacy of this choice and to eventually propose several
alternatives. Our project can lead to important results, allowing
for the estimation of inequality measures by taking every
precaution recommended by statistical deontology. The determination
of confidence intervals for measures of inequality will truly help
to determine levels of inequality and detect changes in these
levels. Improving accuracy in the measurement of inequalities
through survey sampling is of major importance, especially in
official statistics. Methodology and scientific context: It can be
observed that only a small fraction of the vast literature on
inequality measures concerns estimation by means of a sample
selected from a finite population. In most cases, measures of
inequality are however estimated by using complex sampling and
estimation methods. To provide credible statistical answers to
questions related to inequality (for example : Is the level of
inequality increasing?), the estimation of variance and the
construction of confidence intervals are imperative. Therefore, the
estimation of variance will be a major focus of this study. Other
perspectives will also give shape to the predominant aim of the
project: - Detailed analysis of a large variety of measures of
inequality in the sampling from finite population context; -
Computation of the variance of the measures, critical evaluation of
these indexes, proposal of new robust measures; - Development of new
calibration techniques to improve estimations; - Development of
specific sampling designs for the estimation of particular
indexes. |

Mots-clés |
Sampling theory, Measures of inequalities, sampling, inequality, Gini, quantiles, variance estimation, Laeken, linearization, influence function |

Type de projet | Recherche fondamentale |

Domaine de recherche | Mathématiques |

Source de financement | FNS - Encouragement de projets (Div. I-III) |

Etat | Terminé |

Début de projet | 1-3-2009 |

Fin du projet | 30-6-2011 |

Budget alloué | 99'962.00 |

Autre information |
http://p3.snf.ch/projects-121604# |

Contact | Yves Tillé |