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

Idir Arab; Milto Hadjikyriakou; Paulo Eduardo Oliveira

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arXiv · 1901.03238

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

Idir Arab·Milto Hadjikyriakou·Paulo Eduardo Oliveira

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Abstract

In this paper we prove that two heterogeneous parallel systems with independent exponentially distributed components are comparable via the star transform order while the comparison via the convex transform fails. The latter conclusion provides a partial answer to a problem that remained open for a decade.

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Idir Arab, Milto Hadjikyriakou, Paulo Eduardo Oliveira. 2019-01-10. On a conjecture about the comparability of parallel systems with respect to convex transform order. https://arxiv.org/abs/1901.03238

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