Construction of a stationary regenerative process
Let \(Z_ s\) be a regenerative process with regenerative times \(S_ n\). The main purpose of the paper is the construction of a stationary version \((Z^*,S^*)\) via some random timeshifting. This is carried out for finite expectation of the renewals. Instead of a càdlàg process the author imposes pathwise measurability, i.e. measurability of \(Z:\Omega\times[0,\infty)\mapsto\) state space.
scientific article; zbMATH DE number 68095