On residual lifetime of coherent systems after the rth failure

Serkan Eryılmaz ()

Statistical Papers, 2013, vol. 54, issue 1, 243-250

Abstract: In this article we study the residual lifetime of a coherent system after the rth failure, i.e. the time elapsed from the rth failure until the system failure given that the system operates at the time of the rth failure. We provide a mixture representation for the corresponding residual lifetime distribution in terms of signature. We also obtain some stochastic ordering results for the residual lifetimes. Copyright Springer-Verlag 2013

Keywords: Coherent system; Residual lifetime; Signature; Stochastic ordering; 60K10; 60E15 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s00362-011-0422-1

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