Kalashnikov, Vl. Calculation of reliability characteristics for regenerative models. (English) Zbl 0939.60092 Serdica Math. J. 22, No. 4, 525-546 (1996). If a regenerative process is represented as semi-regenerative, we derive formulae enabling us to calculate basic characteristics associated with the first occurrence time starting from corresponding characteristics for the semi-regenerative process. Recursive equations, integral equations, and Monte-Carlo algorithms are proposed for practical solving of the problem. Reviewer: Kosta Markov (Sofia) MSC: 60K15 Markov renewal processes, semi-Markov processes Keywords:regenerative process; semi-regenerative process; geometric sum; two-sided bounds PDFBibTeX XMLCite \textit{Vl. Kalashnikov}, Serdica Math. J. 22, No. 4, 525--546 (1996; Zbl 0939.60092) Full Text: EuDML