In this paper, we estimate aversion to rank inequality (ATRI) underlying selected Italian income inequality indices, I, notably the Pietra index, the Bonferroni index and the “new” Zenga index. We measure ATRI by the parameter v of the generalised Gini index G(v). ATRI is distinct from aversion to income inequality, as measured by parameter ε of Atkinson’s index A(ε). We propose eliciting v from the equation I = GE(v). As, in general,...

We generalize the Gebelein inequality for Gaussian random vectors in R^d.

Udowodniono prawa wielkich liczb dla funkcjonałów gaussowskichkorzystając z nierówności Gebeleina.

The aim of the following article is to present gender inequality in the labour market in Kazakhstan and Uzbekistan. Gender inequality was researched by analyzing documents providing rights for women and men in Kazakhstan and Uzbekistan. The author presented the unequal treatment of women in the labour market by examining the causes of the level of employment of women and men - contract workers, higher unemployment among women,...

We derive a simple lower bound on the geometric measure of entanglement for mixed quantum states in the case of a general multipartite system. The main ingredient of the presented derivation is the triangle inequality applied to the root infidelity distance in the space of density matrices. The obtained bound leads to entanglement criteria with a straightforward interpretation. The proposed criteria provide an experimentally accessible,...