| 齐次Poisson冲击模型中元件寿命的随机比较 |
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| 引用本文： | 邱国新,冯胜章.齐次Poisson冲击模型中元件寿命的随机比较[J].甘肃科学学报,2007,19(1):47-50. |
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| 作者姓名： | 邱国新 冯胜章 |
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| 作者单位： | 1. 解放军炮兵学院,数学教研室,安徽,合肥,230031
2. 解放军63783部队,新疆,喀什,844000 |
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| 基金项目： | 解放军炮兵学院青年后备人才科研基金 |
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| 摘 要： | 在齐次Poisson冲击模型中,证明了当促使元件失效的随机冲击次数依期望序,反向失效率序,反向平均剩余寿命序,增凹序,Laplace变换序增加时,元件的寿命也依相应的随机序增加.
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| 关 键 词： | 期望序 反向失效率序 反向平均剩余寿命序 增凹序 Laplace变换序 齐次Poisson冲击模型 |
| 文章编号： | 1004-0366（2007）01-0047-04 |
| 收稿时间： | 2006-03-07 |
| 修稿时间： | 2006年3月7日 |
Stochastic Comparison of Components' Lives under Homogeneous Piosson Shock Model |
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| QIU Guo-xin,FENG Sheng-zhang.Stochastic Comparison of Components'''' Lives under Homogeneous Piosson Shock Model[J].Journal of Gansu Sciences,2007,19(1):47-50. |
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| Authors: | QIU Guo-xin FENG Sheng-zhang |
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| Institution: | 1. Teaching and Research Section of Maths, Artillery College of PLA, Hefei 230031, China; 2. No. 63783 Army of PLA, Kashen 844000, China |
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| Abstract: | It has been shown in Singh and Jain(1989) that,under homogeneous Poisson shock model,the lives of components will increase in the sense of likelihood ratio ordering,failure rate ordering,mean residual life ordering,usual stochastic ordering and increasing convex ordering if the number of shocks which cause the failure of the components increases in the sense of corre-sponding stochastic orderings.Similar results are proved to hold if above stochastic orderings are substituted by expectation ordering,reversed failure rate ordering,reversed mean residual life ordering,increasing convave ordering and Laplace transform ordering. |
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| Keywords: | expectation ordering reversed failure rate ordering reversed mean residual life ordering increase concave ordering Laplace transform ordering homogeneous Poisson process |
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