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Different ordering behavior with respect to two closely related stochastic orders

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Arab, Idir, Hadjikyriakou, Milto ORCID: 0000-0001-5672-7792, Oliveira, Paulo Eduardo and Santos, Beatriz (2021) Different ordering behavior with respect to two closely related stochastic orders. In: 22nd European Young Statisticians Meeting, 6-10 September 2021, Athens, Greece.

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Official URL: https://www.eysm2021.panteion.gr/files/Proceedings...

Abstract

The lifetime of complex systems with heterogeneous components is modelled by distributions depending on several parameters. We exhibit a few applications regarding the ordering of these types of systems with respect to two closely related stochastic orders, namely the star and convex transform orders. Despite the closeness of these orders, different ordering behaviors are obtained.

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