A NOTE ON COMPARISONS OF k-OUT-OF-n SYSTEMS
WITH RESPECT TO THE HAZARD AND REVERSED HAZARD RATE ORDERS
2000 ◽
Vol 14
(1)
◽
pp. 27-32
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Let τk|n denote the lifetime of a k-out-of-n system constructed by using n components with independent (not necessarily identically distributed) lifetimes. It is shown that τk|n is smaller than τk−1|n−1 in the hazard rate order for any k and that τk|n−1 is smaller than τk|n in the reversed hazard rate order for any k. We thus strengthen and complement some results in Boland et al. [2] and Block et al. [1].
2016 ◽
Vol 30
(4)
◽
pp. 622-639
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2011 ◽
Vol 48
(3)
◽
pp. 877-884
◽
2005 ◽
Vol 19
(4)
◽
pp. 447-461
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2014 ◽
Vol 44
(2)
◽
pp. 300-308
◽
2012 ◽
Vol 26
(2)
◽
pp. 159-182
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2017 ◽
Vol 33
(1)
◽
pp. 28-49
2013 ◽
Vol 28
(1)
◽
pp. 39-53
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2011 ◽
Vol 26
(1)
◽
pp. 61-75
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2020 ◽
pp. 1-21
2011 ◽
Vol 48
(03)
◽
pp. 877-884
◽