[1]徐雅琳,陈豪,蔡南莲.两个独立部件并联系统的随机序性质[J].集美大学学报(自然科学版),2020,25(1):63-68.
XU Yalin,CHEN Hao,CAI Nanlian.Properties of Stochastic Orders on Parallel Systems withTwo Independent Components[J].Journal of Jimei University,2020,25(1):63-68.
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《集美大学学报(自然科学版)》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
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第25卷
- 期数:
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2020年第1期
- 页码:
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63-68
- 栏目:
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数理科学与信息工程
- 出版日期:
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2020-01-28
文章信息/Info
- Title:
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Properties of Stochastic Orders on Parallel Systems withTwo Independent Components
- 作者:
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徐雅琳; 陈豪; 蔡南莲
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(集美大学理学院,福建 厦门 361021)
- Author(s):
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XU Yalin; CHEN Hao; CAI Nanlian
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(School of ScienceJimei UniversityXiamen 361021China)
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- 关键词:
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指数分布; 似然比序; 故障率序; 反故障率序; 随机序; 成比例故障率模型; 韦布尔分布
- Keywords:
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exponential distribution; likelihood ratio order; hazard rate order; reversed hazard rate order; stochastic order; proportional hazard rate model; Weibull distribution
- 分类号:
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- DOI:
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- 文献标志码:
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- 摘要:
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考虑两个独立且服从指数分布的部件组成的并联系统,研究两个并联系统Σ1和Σ2,其中Σ1和Σ2有一个部件参数相同,另一个部件参数不同,得到了Σ1和Σ2在随机序、似然比序、故障率序和反故障率序意义下的随机比较性质。同时,得到了部件服从成比例故障率模型和韦布尔分布模型的相应结论。
- Abstract:
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The parallel system composed of two independent and exponentially distributed components was mainly considered.By studying two such parallel systems Σ1 and Σ2,where the parameters of one component are the same and the parameters of the other component are different,the stochastic comparison properties of parallel systems Σ1 and Σ2 in the sense of stochastic order were gained,likelihood ratio,hazard rate and reverse hazard rate.Meanwhile,the results of the proportional hazard rate model and Weibull distribution model were obtained.
参考文献/References:
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相似文献/References:
[1]陈豪,蔡南莲.具有广义Marshall Olkin分布部件并联系统随机比较性质[J].集美大学学报(自然科学版),2018,23(1):70.
CHEN Hao,CAI Nanlian.Some Stochastic Comparison Properties on Parallel System with Components Obeying Generalized Bivariate MarshallOlkin Distributions[J].Journal of Jimei University,2018,23(1):70.
更新日期/Last Update:
2020-04-17