Geodesic
Calculation of Reliability Characteristics for Regenerative Models
Serdica Mathematical Journal, Tome 22 (1996) no. 4, pp. 525-546.

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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.
Keywords: Regenerative Process, Semi-Regenerative Process, Geometric Sum, Two-Sided Bounds 
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     author = {Kalashnikov, Vladimir},
     title = {Calculation of {Reliability} {Characteristics} for {Regenerative} {Models}},
     journal = {Serdica Mathematical Journal},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_1996_22_4_a3/}
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Kalashnikov, Vladimir. Calculation of Reliability Characteristics for Regenerative Models. Serdica Mathematical Journal, Tome 22 (1996) no. 4, pp. 525-546. http://geodesic.mathdoc.fr/item/SMJ2_1996_22_4_a3/