Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/434

 Title: Limit Theorems for Regenerative Excursion Processes Authors: Mitov, Kosto Keywords: Alternating Renewal ProcessesRegenerative ProcessesLimit TheoremsBranching ProcessesState-Dependent Immigration Issue Date: 1999 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 25, No 1, (1999), 19p-40p Abstract: 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 means of Xi and Ti is infinite. Limit theorems for the process Z(t) are proved, too. Finally, some applications to the branching processes with state-dependent immigration are given. Description: This work is supported by Bulgarian NFSI, grant No. MM–704/97 URI: http://hdl.handle.net/10525/434 ISSN: 1310-6600 Appears in Collections: Volume 25 Number 1

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