Limit theorems for general shock models with infinite mean intershock times

DOI10.2307/3214268zbMath0631.60030OpenAlexW4243240145MaRDI QIDQ3768085

Kevin K. Anderson

Publication date: 1987

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214268

zbMATH Keywords

regular variationrenewal theoryextreme value theorymaximum magnitude of shocks

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Renewal theory (60K05)

Related Items (10)

Reliability of systems subjects to shocks with a stochastic dependence of the damages ⋮ Statistical inference for inter-arrival times of extreme events in bursty time series ⋮ On some properties of distributions possessing a bathtub-shaped failure rate average ⋮ On history-dependent shock models ⋮ On joint sum/max stability and sum/max domains of attraction ⋮ Limit theorems for extremal processes generated by a point process with correlated time and space components ⋮ On classes of life distributions based on the mean time to failure function ⋮ Realistic variation of shock models ⋮ Reliability Shock Models: A Brief Excursion ⋮ Extremes of random variables observed in renewal times

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