MONOTONICITY PROPERTIES OF RESIDUAL LIFETIMES OF PARALLEL SYSTEMS AND INACTIVITY TIMES OF SERIES SYSTEMS WITH HETEROGENEOUS COMPONENTS
2011 ◽
Vol 26
(1)
◽
pp. 61-75
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Keyword(s):
Here, we discuss the stochastic comparison of residual lifetimes of parallel systems and inactivity times of series systems by means of the reversed hazard rate order when the components of the systems are independent but not necessarily identically distributed. We also establish some monotonicity properties of such residual lifetimes of parallel systems and inactivity times of series systems. These results extend some of the recent results in this direction due to Zhao, Li, and Balakrishnan [21], Kochar and Xu [12], and Saledi and Asadi [16].
2013 ◽
Vol 28
(1)
◽
pp. 39-53
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2005 ◽
Vol 19
(4)
◽
pp. 447-461
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2021 ◽
Vol ahead-of-print
(ahead-of-print)
◽
2021 ◽
pp. 1-20
2016 ◽
Vol 30
(4)
◽
pp. 622-639
◽
2011 ◽
Vol 48
(3)
◽
pp. 877-884
◽
2014 ◽
Vol 44
(2)
◽
pp. 300-308
◽
2012 ◽
Vol 26
(2)
◽
pp. 159-182
◽
2000 ◽
Vol 14
(1)
◽
pp. 27-32
◽