The official history of copulas begins in 1959 with Sklar [1959]; but, as is often the case in
Mathematics, for groundbreaking results there are forerunners and precedents. These latter …

In summer of 2010, the first author (HL) visited the second author (XL) at Lanzhou University,
China, and chaired the dissertation defense for XL's two graduating doctoral students …

In the context of coherent systems, we obtain representations for the reliability function of the
residual lifetime at time t under different assumptions. Specifically, four cases are considered …

A method is proposed for defining and investigating spatial contagion between two financial
markets X and Y by using the information contained in their copula. A practical illustration of …

A class of generalized bivariate Marshall–Olkin distributions, which includes as special
cases the Marshall–Olkin bivariate exponential distribution and the Marshall–Olkin type …

The class of all bivariate copulas that are invariant under univariate truncation is
characterized. To this end, a family of bivariate copulas generated by a real-valued function …

The law of uniform seniority is an actuarial principle which justifies the replacement of an
annuity on joint lives of unequal ages by an annuity on a single life, often computed at a …

We consider dynamic versions of the mutual information of lifetime distributions, with a focus
on past lifetimes, residual lifetimes, and mixed lifetimes evaluated at different instants. This …

We prove that some results claimed for the dispersive ordering are not valid and provide
some contributions in this direction. Then, we revisit the dispersive ordering of order …

Generally modelling lifetime data is carried out using probability distributions with the aid of
reliability functions such as hazard rate, mean residual life, etc. In the present work an …