Further Results on the DMRL Ordering
Kang Diantong1; Yan Lei2
Source Publication应用概率统计
AbstractLet 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.
Indexed ByCSCD
WOS Research AreaMathematics
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Document Type期刊论文
Affiliation1.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
Recommended Citation
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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