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Article Dans Une Revue Naval Research Logistics Année : 2010

Asymptotic properties of imperfect repair models and estimation of repair efficiency

Résumé

The aim of this articles is to study the asymptotic behavior of two imperfect repair models, called Arithmetic Reduction of Intensity and Arithmetic Reduction of Age models. These models have been proposed by Doyen and Gaudoin (Reliab Eng Syst Safe 84 (2004) 45-56) and include many usual virtual age models. First, it is proved that the failure intensity of these models is asymptotically almost surely equivalent to a deterministic increasing function with a cumulative error proportional to a logarithm. Second, the almost sure convergence and asymptotic normality of several estimators of repair efficiency are derived, when the wear-out process without repair is known. Finally, the coverage rate of the asymptotic confidence intervals issued from those estimators is empirically studied.

Dates et versions

hal-00540415 , version 1 (26-11-2010)

Identifiants

Citer

Laurent Doyen. Asymptotic properties of imperfect repair models and estimation of repair efficiency. Naval Research Logistics, 2010, 57 (3), pp.296-307. ⟨10.1002/nav.20406⟩. ⟨hal-00540415⟩
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