Journal of the Korean Data and Information Science Society
- 제6권1호
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- Pages.105-110
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- 1995
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- 1598-9402(pISSN)
Preservation of Some Partial Ordering under Formation of k-out-of-n Systems of Like components
- Kim, Sang-Lyong (Department of Statistics, Kyungpook National University) ;
- Choi, Jeen-Kap (Department of Statistics, Kyungpook National University)
- 발행 : 1995.06.30
초록
In this paper, we shall convey preservation of some partial orderings and closures of some positive ageing classes under k-out-of-n systems of like components. That is, if the life time of a component A is larger than that of a component B in any of the NBU, DMRL, NBUE, HNBUE, NBUFR and NBUFRA orderings, then a k-out-of-n system formed by i.i.d.. components of type A has larger life time, in that ordering, than that of a similar system consisting of n i.i.d. components type of B. And using these partial orderings, closures of positive aging classes(NBU, DMRL, NBUE, HNBUE, NBUFR and NBUFRA) under the coherent system like components.