Consider a finite sequence of independent–though not, necessarily, identically distributed–real-valued random scores. If the scores are absolutely continuous random variables, the sequence possesses a unique maximum (minimum). We say that “maximal (minimal) independence” holds if the...

We explore the statistical behavior of the order statistics of the flights of one-sided Lévy processes (OLPs). We begin with the study of the extreme flights of general OLPs, and then focus on the class of selfsimilar processes, investigating the following issues: (i) the inner hierarchy of the...

We study geometric record times in continuous-time systems where events of random (positive) magnitudes occur stochastically. Namely, given that the current record level is x, and given a parameter k1, we address the following question: how long would we have to wait till the occurrence of a...