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On hazard rate ordering of parallel systems with two independent components
Authors:Gaofeng Da  Weiyong Ding  Xiaohu Li
Affiliation:1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China;2. School of Mathematics, Xiamen University, Xiamen 361005, China
Abstract:This note builds a sufficient condition for the hazard rate ordering between lifetimes of parallel systems with two independent components having proportional hazard rates. Some comparisons on lifetimes of such systems with general components are also obtained.
Keywords:Hazard rate order   Mean residual life order   Order statistics   Proportional hazard rates
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