Title: On records of stationary heavy tailed sequences
Authors: Bojan Basrak - Faculty of Science, University of Zagreb (Croatia) [presenting]
Abstract: Records and records times of stationary regularly varying sequences are studied. Using point processes theory adapted to some non standard spaces, we are able to describe asymptotic distribution for the extremes and records in such a sequence, as long as the dependence between the observations is sufficiently weak. In particular, we obtain a remarkably simple structure for the limiting distribution of the record times. We also discuss possible extensions of these results to spatio temporal data.