Renewal point processes show up in many different fields of science and engineering. In
some cases the renewal points become the only observable parts of an anticipated hidden
random variation of some physical quantity. The hypothesis might be that a hidden random
process originating from zero or some other low value only becomes visible at the time of
first crossing of some given value level, and that the process is restarted from scratch
immediately after the level crossing. It might then be of interest to reveal the defining …