Stochastic Order Relations Among Parallel Systems from Weibull Distributions
2015 ◽
Vol 52
(1)
◽
pp. 102-116
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Keyword(s):
Let Xλ1, Xλ2, …, Xλn be independent Weibull random variables with Xλi ∼ W(α, λi), where λi > 0 for i = 1, …, n. Let Xn:nλ denote the lifetime of the parallel system formed from Xλ1, Xλ2, …, Xλn. We investigate the effect of the changes in the scale parameters (λ1, …, λn) on the magnitude of Xn:nλ according to reverse hazard rate and likelihood ratio orderings.
2015 ◽
Vol 52
(01)
◽
pp. 102-116
◽
2021 ◽
Vol ahead-of-print
(ahead-of-print)
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1997 ◽
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2019 ◽
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pp. 20180364