Asymptotic results for a run and cumulative mixed shock model
type: Item
instance of: scholarly article
title: Asymptotic results for a run and cumulative mixed shock model
zbMATH Open document ID: 1122.60075
author: N. E. Zubov
published in: Journal of Mathematical Sciences (New York)
publication date: 2007-04-19T00:00:00Z
review text: The authors extend the asymptotic results of \textit{A. Gut}'s model of shocks [Bernoulli 7, No. 3, 541--555 (2001; Zbl 0994.62100)], in which failure is due to one of two causes: cumulative damage exceeding a threshold, or occurrence of an extreme shock -- whichever happens first -- to a mixed shock model, which is a combination of the standard cumulative damage model and the run shock model [\textit{F. Mallor} and \textit{E. Omey}, J. Appl. Probab. 38, No. 2, 438--448 (2001; Zbl 0987.60028)], where by the first occurrence of a rum of a pre-fixed length of extreme shocks causes failure. The mixed shock model thus corresponds to replacing the single extreme shock in Gut's model by a run of extreme shocks.
reviewed by: Manish C. Bhattacharjee
Mathematics Subject Classification ID: 60K10
Mathematics Subject Classification ID: 60K05
zbMATH DE Number: 5144816
zbMATH Keywords: mixed shock model
zbMATH Keywords: cumulative damage model
zbMATH Keywords: run shock model
MaRDI profile type: Publication
full work available at URL: s10958-006-0306-4
OpenAlex ID: W2069007351
cites work: Q5560061
cites work: Q4039795
cites work: Extreme shock models
cites work: Mixed shock models
cites work: Shocks, runs and random sums
cites work: Reliability of systems subjects to shocks with a stochastic dependence of the damages
cites work: General shock models associated with correlated renewal sequences
cites work: A class of correlated cumulative shock models
DOI: 10.1007/S10958-006-0306-4
description: scientific article; zbMATH DE number 5144816