Archivio Istituzionale della RicercaConsider an n–component coherent system having random lifetime T_X, where X = (X1, . . . ,Xn) is the vector of the non-independent components’ lifetimes. Stochastic comparisons of the residual life of T_X at a fixed time t ≥ 0, conditioned on {TX > t} or on {Xi > t, ∀i = 1, . . . , n}, are investigated. Sufficient conditions on the vector X that imply this comparison in the usual stochastic order are provided, together with sufficient conditions under which the lifetime T_X satisfies the NBU aging property.
On Used Systems and Systems with Used Components / Li, X.; Pellerey, Franco; You, Y.. - STAMPA. - 208:(2013), pp. 163-173. (Intervento presentato al convegno Stochastic Orders in Reliability and Risk tenutosi a Xiamen, China nel June, 2011).
On Used Systems and Systems with Used Components
PELLEREY, FRANCO;
2013
Abstract
Consider an n–component coherent system having random lifetime T_X, where X = (X1, . . . ,Xn) is the vector of the non-independent components’ lifetimes. Stochastic comparisons of the residual life of T_X at a fixed time t ≥ 0, conditioned on {TX > t} or on {Xi > t, ∀i = 1, . . . , n}, are investigated. Sufficient conditions on the vector X that imply this comparison in the usual stochastic order are provided, together with sufficient conditions under which the lifetime T_X satisfies the NBU aging property.
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https://hdl.handle.net/11583/2505571
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