Likelihood ratio order of parallel systems with heterogeneous Weibull components

Longxiang Fang () and N. Balakrishnan ()
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Longxiang Fang: Anhui Normal University
N. Balakrishnan: McMaster University

Metrika: International Journal for Theoretical and Applied Statistics, 2016, vol. 79, issue 6, No 4, 693-703

Abstract: Abstract In this paper, we compare the largest order statistics arising from independent heterogeneous Weibull random variables based on the likelihood ratio order. Let $$X_{1},\ldots ,X_{n}$$ X 1 , … , X n be independent Weibull random variables with $$X_{i}$$ X i having shape parameter $$0

Keywords: Weibull distribution; Parallel systems; Reserved hazard rate order; Likelihood ratio order; Majorization (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s00184-015-0573-5

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