  We explore the statistical behavior of the order statistics of the flights of
One-sided Levy 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
extreme flights - for example:how big is the 7th largest flight relative to the
2nd largest one?; and,(ii)the relative contribution of the extreme flights to
the entire 'flight aggregate' - for example: how big is the 3rd largest flight
relative to the OLP's value?. Furthermore, we show that all 'hierarchical'
results obtained - but not the 'aggregate' results - are explicitly extendable
to the class of OLPs with arbitrary power-law flight tails (which is far larger
than the selfsimilar class).
