| A NEW CHARACTERIZATION OF NBU CLASS OF LIFE DISTRIBUTIONS WITH APPLICATION |
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| 引用本文： | LIXiaohu. A NEW CHARACTERIZATION OF NBU CLASS OF LIFE DISTRIBUTIONS WITH APPLICATION[J]. 系统科学与复杂性, 2003, 16(2): 222-228 |
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| 作者姓名： | LIXiaohu |
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| 作者单位： | DepartmentofMathematics,LanzhouUniversity,Lanzhou730000,China |
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| 基金项目： | Supported by National Natural Science Foundation of China under Grant No. 10201010，TY 10126014. |
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| 摘 要： | Assume an unreliable workstation performing jobs with a random service time, namely, it occasionally breaks down because of unexpected interruptions. As an interruption really occurs, the station is instantaneously repaired and the uncompleted job is restarted again from the beginning till a job is completed without being interrupted. The total service time is shown to be NBU if and only if the total time it takes to finish each job with interruptions is stochastically larger than that without them, irrespective of when and how the breakdowns occur. As an application, a nonparametric procedure is developed to test for the strict NBU property of the service time. Finally, some numerical simulations are presented as well.
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| 关 键 词： | NBU 随机维修时间 意外故障 L-统计学 寿命分配 数字模拟 故障诊断 |
A NEW CHARACTERIZATION OF NBU CLASS OF LIFE DISTRIBUTIONS WITH APPLICATION |
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| LI Xiaohu. A NEW CHARACTERIZATION OF NBU CLASS OF LIFE DISTRIBUTIONS WITH APPLICATION[J]. Journal of Systems Science and Complexity, 2003, 16(2): 222-228 |
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| Authors: | LI Xiaohu |
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| Abstract: | Assume an unreliable workstation performing jobs with a random service time, namely, it occasionally breaks down because of unexpected interruptions. As an interruption really occurs, the station is instantaneously repaired and the uncompleted job is restarted again from the beginning till a job is completed without being interrupted. The total service time is shown to be NBU if and only if the total time it takes to finish each job with interruptions is stochastically larger than that without them, irrespective of when and how the breakdowns occur. As an application, a nonparametric procedure is developed to test for the strict NBU property of the service time. Finally, some numerical simulations are presented as well. |
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| Keywords: | NBU Interruptions stochastically larger L-statistic. |
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