Asymptotic results for a run and cumulative mixed shock model

DOI10.1007/S10958-006-0306-4zbMath1122.60075OpenAlexW2069007351MaRDI QIDQ876841

N. E. Zubov

Publication date: 19 April 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0306-4

zbMATH Keywords

cumulative damage modelmixed shock modelrun shock model

Mathematics Subject Classification ID

Applications of renewal theory (reliability, demand theory, etc.) (60K10) Renewal theory (60K05)

Related Items (9)

Local limit theorems for shock models ⋮ On history-dependent mixed shock models ⋮ On the general \(\delta \)-shock model ⋮ Reliability analysis for shock systems based on damage evolutions via Markov processes ⋮ A general class of shock models with dependent inter-arrival times ⋮ Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times ⋮ Two novel critical shock models based on Markov renewal processes ⋮ Assessment of a multi-state system under a shock model ⋮ Multivariate subexponential distributions and random sums of random vectors

Cites Work

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• Reliability of systems subjects to shocks with a stochastic dependence of the damages
• Shocks, runs and random sums
• General shock models associated with correlated renewal sequences
• A class of correlated cumulative shock models
• Extreme shock models
• Mixed shock models

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