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| 服从二元Lomax分布的两相关元件系统可靠性研究 | |
| 引用本文： | 黄彦彦,王照良. 服从二元Lomax分布的两相关元件系统可靠性研究[J]. 长春师范学院学报, 2011, 0(10): 1-5 |
| 作者姓名： | 黄彦彦 王照良 |
| 作者单位： | 兰州商学院统计学院;河南理工大学数学与信息科学学院; |
| 基金项目： | 河南理工大学青年基金资助项目(Q2011-36A) |
| 摘 要： | 若令随机向量(X1,X2)表示系统中两元件的寿命,则X(1)=min(X1,X2)和X(2)=man(X1,X2)就表示两个元件组成的串并联系统的寿命.在文本中,我们主要考虑(X1,X2)不可交换而联合分布为二维Lomax分布情形下,X(1)和X(2)的相依性关系,并从随机比较的角度讨论了串并联系统的性质. |
| 关 键 词： | 可靠度 Lomax分布 相依性 随机序 |
Reliability Properties of Systems with Two Dependent Components and Bivariate Lomax Distributions |
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| HUANG Yan-yan,WANG Zhao-liang. Reliability Properties of Systems with Two Dependent Components and Bivariate Lomax Distributions[J]. Journal of Changchun Teachers College, 2011, 0(10): 1-5 | |
| Authors: | HUANG Yan-yan WANG Zhao-liang |
| Affiliation: | HUANG Yan-yan1,WANG Zhao-liang2(1.School of Statistics,Lanzhou Univeristy of Finance and Economics,Lanzhou 730020,China,2.School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China) |
| Abstract: | Let the random vector(X1,X2) be the the lifetimes of the two components in a system,the lifetimes of the series and the parallel structure can be expressed by order statistics X(1)=min(X1,X2) and X(2)=max(X1,X2),respectively.In this note,we consider the dependence of X(1) and X(2) in the case that(X1,X2)is non-exchangeable and the joint distribution is a bivariate Loman distribution,and discuss the properties of series and parallel systems from stochastic comparisons. |
| Keywords: | reliability Lomax distribution dependence stochastic order |
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