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Title: Relative Ageing for Two Parallel Systems and Related Problems
Authors: Lai, C.D.
Xie, M. 
Keywords: Increasing hazard
Life distribution
Parallel systems
Partial ordering
Relative ageing
Variance comparison
Issue Date: Dec-2003
Source: Lai, C.D.,Xie, M. (2003-12). Relative Ageing for Two Parallel Systems and Related Problems. Mathematical and Computer Modelling 38 (11-13) : 1339-1345. ScholarBank@NUS Repository.
Abstract: Kalashnikov and Rachev [1] have proposed a partial ordering of two life distributions which is equivalent to an increasing hazard (failure rate) ratio, when the ratio exists. The phenomenon of crossing hazards has received considerable attention in recent years. Recently, Sengupta and Deshpande [2] have studied this and two other models of relative ageing. In this paper, we consider the relative ageing properties of two parallel systems with identical but different number of components. We also compare the variances of the two life distributions having the same mean but with increasing hazard ratio. Several examples are given to illustrate the results. © 2003 Elsevier Ltd. All rights reserved.
Source Title: Mathematical and Computer Modelling
ISSN: 08957177
Appears in Collections:Staff Publications

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