We establish Edgeworth expansions for the distribution function of the centered and normalized Hill estimator for the positive extreme value index.

We offer a model of equality of opportunity that encompasses different conceptions expressed in the public debate. In addition to circumstances whose effect on outcome should be compensated and effort which represents a legitimate source of inequality, we introduce a third factor, luck, that...

The main theme of this paper is to study statistical inference concerning empirical Lorenz curves and its generalisations. These curves are useful devices for examining welfare and inequality. Asymptotical sampling properties of the Lorenz curve are discussed. An improvement to a standard...

We offer a model of equality of opportunity that encompasses different conceptions expressed in the public debate. In addition to circumstances whose effect on outcome should be compensated and eort which represents a legitimate source of inequality, we introduce a third factor, luck, that...

Consider a semiparametric model yi = xi' beta + g(ti )+ei; i = 1;2..., n, error ei are i.i.d. random variables from unknown distribution f(e). In this paper, we propose a nonlinear wavelet estimator ^f(e) of f(e) based on residuals ê =yi - ^yi here restriction of uniformly continuous on f(e)...

This paper develops a criterion to assess equalization of opportunity that is consistent with theoretical views of equality of opportunity. We characterize inequality of opportunity as a situation where some groups in society enjoy an unfair advantage. In this context, equalization of...

The relationship between income inequality and polarization is an empirical fact: a change in equality might occur together with a change in polarization. At the same time, polarization might emerge while inequality remains constant. The outcome of this process entails relevant information about...

This paper develops a criterion to assess equalization of opportunity that is consistent with theoretical views of equality of opportunity. We characterize inequality of opportunity as a situation where some groups in society enjoy an illegitimate advantage. In this context, equalization of...

This paper attempts to find out the explanatory power of observed changes in the distribution of current income in explaining the relative change in aggregate consumption using the distributional approach of aggregation by Hildenbrand and Kneip (1999, 2001). The coefficients in the aggregate...