The paper presents an approach to the measurement of economic disparity in several commodities. We introduce a special view on the usual Lorenz curve and extend this view to the multivariate situation: Given a vector of shares of the total endowments in each commodity, the multivariate inverse...

We consider four orthant stochastic orderings between random vectors X and Y that have finitely discrete probability distributions in IRk. For each of the orderings conditions have been developed that are necessary and sufficient for dominance of Y over X. We present an algorithm that checks...

The empirical power of several test procedures is studied which test for homogeneity against mixtures of exponential distributions.

Most empirical studies on poverty consider the extent of poverty either for the entire society or for separate groups like elderly people.However, these papers do not show what the situation looks like for persons of a certain age. In this paper poverty measures depending on age are derived...

This paper deals with nonparametric inference for second order stochastic dominance of two random variables. If their distribution functions are unknown they have to be inferred from observed realizations. Thus, any results on stochastic dominance are in uenced by sampling errors. We establish...

Most empirical studies on poverty consider the extent of poverty either for the entire society or for separate groups like elderly people.However, these papers do not show what the situation looks like for persons of a certain age. In this paper poverty measures depending on age are derived...

The Gini index and the Gini mean difference of a univariate distribution are extended to measure the disparity of a general d-variate distribution. We propose and investigate two approaches, one based on the distance of the distribution from itself, the other on the volume of a convex set in (d...

Besonders in der betriebswirtschaftlich relevanten Marktanalyse besteht ein großer Bedarf an möglichst einfachen Prognoseverfahren z. B. in Form von endogenen, d. h. alleine von der Zeit abhängigen, Wachstumsfunktionen. Der hier vorgestellte Test dient dazu, diejenigen Funktionen...

Im Bereich der Messung der Änderung von Ungleichheit sind schon einige Maße vorgeschlagen worden. Doch bis jetzt hat noch niemand versucht, auf Grundlage von bestimmten Axiomen eine Klasse von dynamischen Ungleichheitsmaßen herzuleiten. Dies geschieht in dieser Arbeit. Nach der Definition der...

This paper investigates the concentration in the Swedish and Finnish insurance market. It considers the development of concentration over time and the differences between the two countries. The insurance industry is divided into life and non-life insurance companies. The concentration is...