Dynamic Multivariate Quantile Residual Life in Reliability Theory

M. Shafaei Noughabi, M. Kayid and A. M. Abouammoh

Mathematical Problems in Engineering, 2018, vol. 2018, 1-10

Abstract:

We extend the univariate -quantile residual life function to multivariate setting preserving its dynamic feature. Principal attributes of this function are derived and their relationship to the dynamic multivariate hazard rate function is discussed. A corresponding ordering, namely, -quantile residual life order, for random vectors of lifetimes is introduced and studied. Based on the proposed ordering, a notion of positive dependency is presented. Finally, a discussion about conditions characterizing the class of decreasing multivariate -quantile residual life functions is pointed out.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1245656

DOI: 10.1155/2018/1245656

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