Mean residual life functions of finite mixtures,order statistics and coherent systems |
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Authors: | Jorge Navarro Pedro J Hernandez |
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Institution: | (1) Facultad de Matematicas, Universidad de Murcia, 30100 Murcia, Spain;(2) Facultad de Ciencias de la Empresa, Universidad Politécnica de Cartagena, 30203 Cartagena, Murcia, Spain |
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Abstract: | We study properties of the mean residual life functions of finite mixtures. Specifically, we study ordering properties, monotonicity
and the limiting behaviour. We show, under some mild conditions, that the limiting behaviour is similar to that of the strongest
member (in the mean residual life order) of the mixture. We also consider the case of negative mixtures (i.e., mixtures with
some negative coefficients) which is applied to study the behaviour of the mean residual life of order statistics and coherent
systems with possibly dependent components.
Partially Supported by Ministerio de Ciencia y Tecnologí a under grant BFM2003-02947 and Fundación Séneca under grant 00698/PI/04. |
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Keywords: | Finite mixtures Mean residual life Failure rate Order statistics Coherent system k-out-of-n system |
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