Geodesic
Mean Residual Life of kth Records Under Double Monitoring
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 2
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In the study of reliability of technical systems and shock models, the mean \linebreak residual life function plays an important role. In this paper, we consider the mean residual life of $k$th records under double monitoring. We introduce the notion of the mean residual life of $k$th records under the condition that the $m$th and $(m+1)$st shocks arrived before and after $t_1$, respectively, and the $(n+1)$st $(1 ≥ m n)$ shock arrived after $t_{2}$ $(0 t_{1} t_{2})$. We study their respective monotonicity and aging properties. Some stochastic ordering \linebreak properties are also investigated.
Classification : 62E10, 60E05 
@article{BMMS_2014_37_2_a13,
     author = {O.M. Bdair and M.Z. Raqab},
     title = {Mean {Residual} {Life} of kth {Records} {Under} {Double} {Monitoring}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2014},
     volume = {37},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_2_a13/}
}
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O.M. Bdair; M.Z. Raqab. Mean Residual Life of kth Records Under Double Monitoring. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2014_37_2_a13/