Limit Theorems for Regenerative Excursion Processes
Mitov, Kosto (1999)
Serdica Mathematical Journal
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This work is supported by Bulgarian NFSI, grant No. MM–704/97 The regenerative excursion process Z(t), t = 0, 1, 2, . . . is constructed by two independent sequences X = {Xi , i ≥ 1} and Z = {Ti , (Zi (t), 0 ≤ t < Ti ), i ≥ 1}. For the embedded alternating renewal process, with interarrival times Xi – the time for the installation and Ti – the time for the work, are proved some limit theorems for the spent worktime and the residual worktime, when at least one of the...