 Life behavior of [delta]-shock modelZehui Li and Xinbing Kong Statistics & Probability Letters, 2007, vol. 77, issue 6, 577-587 Abstract: Two traditional assumptions in shock models are that the failure of a system is related either to the cumulative effect of a large number of shocks or to the maximum magnitude of shocks ever occur. The present paper provide another type (only concentrating on inter-arrivals) of shock model (called [delta]-shock model). For the case with underlying homogeneous Poisson process, some results are given, such as, analytic survival function, moment of any order, class properties and asymptotic behavior of the normalized lifetime TM/E[TM] of a system as [delta]-->0. For another case with underlying non-homogeneous Poisson process with periodic intensity [lambda](t), analytic survival function is given as well. Moreover, under practical conditions, moment of any order is proved to be finite, and asymptotic behavior of T0/E[T0] is obtained as [delta]-->0. This [delta] shock model has diverse range of applications. Keywords: [delta]; shock; model; Life; distribution; Poisson; process; Exponential; distribution; NWU; NBU; Asymptotic; behavior (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:77:y:2007:i:6:p:577-587 Ordering information: This journal article can be ordered from Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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