The IFR property for consecutive-k-out-of-n:F systems

Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0167-7152(02)00240-7

Title:	The IFR property for consecutive-k-out-of-n:F systems
Authors:	Cui, L.
Keywords:	Consecutive-k-out-of-n:F systems IFR Integer bounds Linear and circular cases
Issue Date:	15-Oct-2002
Citation:	Cui, L. (2002-10-15). The IFR property for consecutive-k-out-of-n:F systems. Statistics and Probability Letters 59 (4) : 405-414. ScholarBank@NUS Repository. https://doi.org/10.1016/S0167-7152(02)00240-7
Abstract:	For a consecutive-k-out-of-n system of components with independent and identically distributed increasing failure rate (IFR) lifetimes, Cui et al. (Probab. Engng. Inform. Sci. 9 (1995) 217) proved that for any fixed k, there exists an nk for which the system does not preserve IFR when n > nk. On the other hand, it is difficult to obtain an analytical expression for nk although it is useful to know the range of values for which the IFR property is preserved. In this paper, we present a bound for nk. Some numerical results are given. © 2002 Elsevier Science B.V. All rights reserved.
Source Title:	Statistics and Probability Letters
URI:	http://scholarbank.nus.edu.sg/handle/10635/87270
ISSN:	01677152
DOI:	10.1016/S0167-7152(02)00240-7
Appears in Collections:	Staff Publications

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