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A note on the mean past and the mean residual life of a (n − k + 1)-out-of-n system under multi monitoring

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Abstract

In the study of the reliability of technical systems, k-out-of-n systems play an important role. In the present paper, we consider a (n − k + 1)-out-of-n system consisting of n identical components such that the lifetimes of components are independent and have a common distribution function F. It is assumed that the number of monitoring is l and the total number of failures of the components at time t i is m i , i = 1, . . . , l − 1. Also at time t l (t 1 < . . . < t l ) the system have failed or the system is still working. Under these conditions, the mean past lifetime, the mean residual lifetime of system and their properties are investigated.

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Authors and Affiliations

  1. Department of Mathematics, University of Lorestan, 465, Khoramabad, Iran

    M. H. Poursaeed

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  1. M. H. Poursaeed
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Correspondence to M. H. Poursaeed.

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Poursaeed, M.H. A note on the mean past and the mean residual life of a (n − k + 1)-out-of-n system under multi monitoring. Stat Papers 51, 409–419 (2010). https://doi.org/10.1007/s00362-009-0207-y

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  • DOI: https://doi.org/10.1007/s00362-009-0207-y

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