We investigate the sojourn time above a high threshold of a continuous stochastic process Y=(Yt)t∈[0,1]. It turns out that the limit, as the threshold increases, of the expected sojourn time given that it is positive, exists if the copula process corresponding to Y is in the functional domain...

We consider a random vector <Emphasis Type="BoldItalic">X, whose components are neither necessarily independent nor identically distributed. The fragility index (FI), if it exists, is defined as the limit of the expected number of exceedances among the components of <Emphasis Type="BoldItalic">X above a high threshold, given that there is at least...</emphasis></emphasis>