Bounds for geometric sums used for evaluation of reliability of regenerative models

Journal of Mathematical Sciences

Volumn 93, Issue 4, 1999, Pages 501-510

  Bon, J L ^a,b   Kalashnikov, V ^a,c  

^a Centre Scientifique ^*

^b UNIVERSITÉ PARIS SUD   (France)

^c INSTITUTE FOR SYSTEMS ANALYSIS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043008826     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02365055     Document Type: Article

References (11)

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3. J.-L. Bon, Méthodes Mathématiques de Fiabilité, Editions Masson, Paris (1995).
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5. I. B. Gertsbakh, Statistical Reliability Theory, Dekker, New York (1989).
6. V. Kalashnikov, Topics on Regenerative Processes, CRC Press, Boca Raton (1994).
7. V. Kalashnikov, Geometric Sums: Bounds for Rare Events with Applications, Kluwer Academic Publ., Dordrecht (1997).
8. V. Kalashnikov and S. Vsekhsviatskii, "On the connection of Renyi's theorem and renewal theory," LN Math., 1412, 83-102 (1989).
9. P. Pamphile, Calcul de Fiabilité de Grands Systèmes Hautement Fiables, Thése université Paris-Sud (Orsay), Paris (1994).
10. H.-J. Rossberg and G. Siegel, "On Kingman's integral inequalities for approximations of the waiting time distribution in the queueing model GI |G| 1 with and without warming-up time," Zast. Math., 14, 27-30 (1974).
11. A. D. Solovyev, Questions of Mathematical Theory of Reliability [in Russian], Radio i Sviyaz, Moscow (1983).