On a conjecture about the comparability of parallel systems with respect to the convex transform order

• Autorzy: Arab Idir , Hadjikyriakou Milto , Oliveira Paulo Eduardo347

Identyfikatory

DOI

10.37190/0208-4147.41.2.8

• Języki publikacji: EN

Abstrakty

EN

We study the comparability of the lifetimes of heterogeneous parallel systems with independent exponentially distributed components. It is known that the order statistics of systems composed of two types of components may be comparable with respect to the star transform order. On what concerns the stronger convex transform order, results have been obtained only for the sample maxima assuming that one of the systems is homogeneous. We prove, under the same assumptions as for the star transform ordering, that the lifetimes of heterogeneous parallel systems are not comparable with respect to the convex transform order.

Słowa kluczowe

EN

star transform order; convex transform order; failure rate; sign variation

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2021
• Tom: Vol. 41, Fasc. 2
• Strony: 347--358
• Opis fizyczny: Bibliogr. 23 poz., wykr.

Twórcy

autor

Arab Idir

• CMUC, Department of Mathematics University of Coimbra Coimbra, Portugal

autor

Hadjikyriakou Milto

• University of Central Lancashire Larnaka, Cyprus

autor

Oliveira Paulo Eduardo347

• CMUC, Department of Mathematics University of Coimbra Coimbra, Portugal

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