Failure rate properties of parallel systems (Preprint)

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Type: Preprint
National /International: International
Title: Failure rate properties of parallel systems
Publication Date: 2018-09-06
Authors: - Idir Arab
- Milto Hadjikyriakou
- Paulo Eduardo Oliveira
Abstract: We study failure rate monotonicity and generalized convex transform stochastic ordering properties of random variables, with a concern on applications. We are especially interested in the effect of a tail weight iteration procedure to define distributions, which is equivalent to the characterization of moments of the residual lifetime at a given instant. For the monotonicity properties, we are mainly concerned with hereditary properties with respect to the iteration procedure providing counterexamples showing either that the hereditary property does not hold or that inverse implications are not true. For the stochastic ordering, we introduce a new criterium, based on the analysis of the sign variation of a suitable function. This criterium is then applied to prove ageing properties of parallel systems formed with components that have exponentially distributed lifetimes.
Institution: DMUC 18-30
Online version: http://www.mat.uc.pt...prints/eng_2018.html
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