Lanzhou University of Technology Institutional Repository (LUT_IR)
Further Results on the DMRL Ordering | |
Kang Diantong1; Yan Lei2 | |
2016 | |
发表期刊 | 应用概率统计 |
ISSN | 1001-4268 |
卷号 | 32期号:1页码:69-88 |
摘要 | Let X and Y be two nonnegative absolutely continuous random variables with respective distribution functions F_X and G_Y such that F_X(0) = G_Y(0) = 0, right-continuous inverse functions F_X~(-1) and G_Y~(-1), and survival functions F_X and G_Y, respectively. We write X≤_(dmr1) Y, and say X is smaller than Y in the DMRL (decreasing mean residual life) order, if the function G_Y(x)dx / _(F_X~(-1))~F_X(x)dx is increasing in p (0,1). Some characterization properties of the DMRL order are investigated. The closure and reversed closure properties of the DMRL order are obtained. Meanwhile, some illustrative examples that meet the DMRL order are shown as well. |
收录类别 | CSCD |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | MATHEMATICS |
CSCD记录号 | CSCD:5651281 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/71467 |
专题 | 兰州理工大学 经济管理学院 |
作者单位 | 1.School of Mathematics and Statistics, Hexi University, Zhangye, Gansu 734000, China 2.School of Economics and Management, Lanzhou University of Technology, Lanzhou, Gansu 730050, China |
推荐引用方式 GB/T 7714 | Kang Diantong,Yan Lei. Further Results on the DMRL Ordering[J]. 应用概率统计,2016,32(1):69-88. |
APA | Kang Diantong,&Yan Lei.(2016).Further Results on the DMRL Ordering.应用概率统计,32(1),69-88. |
MLA | Kang Diantong,et al."Further Results on the DMRL Ordering".应用概率统计 32.1(2016):69-88. |
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