Simple bounds on cumulative intensity functions of renewal and G-renewal processes with increasing failure rate underlying distributions

Risk Analysis

Volumn 24, Issue 4, 2004, Pages 1035-1039

  Kaminskiy, Mark P ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

Cumulative intensity function; G renewal process; Long term behavior; Nonhomogeneous Poisson process; Point processes; Renewal process; Repairable systems; Short term behavior; Upper bound

Indexed keywords

FAILURE ANALYSIS; MATHEMATICAL MODELS; RELIABILITY;

FAILURE RATE; MEDIAN;

RISK MANAGEMENT;

RISK ASSESSMENT;

ARTICLE; RELIABILITY; RISK ASSESSMENT; STATISTICAL ANALYSIS; STATISTICAL DISTRIBUTION; STATISTICAL MODEL;

EID: 4544308543     PISSN: 02724332     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0272-4332.2004.00505.x     Document Type: Article

References (6)

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3. Kijima, M., & Sumita, N. (1986). A useful generalization of renewal theory: Counting process governed by non-negative Markovian increments. Journal of Applied Probability, 23, 71-88.
4. Filkenstein, M. (1997). The concealed age of distribution function and the problem of general repair. Journal of Statistical Planning and Inference, 65, 315-321.
5. Lindqvist, H. (1999). Statistical modeling and analysis of repairable systems. In Statistical and Probabilistic Models in Reliability (pp. 3-25). Berlin: Birkhauser.
6. Barlow, R., & Proschan, F. (1965). Mathematical Theory of Reliability. New York: Wiley.