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| 引用本文： | ???,?????.??????????????????????????????[J].应用概率统计,2016,32(5):519-529. |
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| 作者姓名： | ??? ????? |
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| 作者单位： | ?????????????, ????????????? |
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| 摘 要： |
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| 关 键 词： | ???????????? ??? ??????? ???1??? |
Comparing MRL for Increasing Concave Function of Two Random Variables |
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| LI Ping,LING Xiaoliang.Comparing MRL for Increasing Concave Function of Two Random Variables[J].Chinese Journal of Applied Probability and Statisties,2016,32(5):519-529. |
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| Authors: | LI Ping LING Xiaoliang |
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| Institution: | School of Business, Hebei Normal University, College of Sciences, Hebei University of Science and;
Technology |
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| Abstract: | ??The mean residual life (MRL) function plays a very important
role in the area of reliability engineering, survival analysis, and many other fields.
In this paper, we introduce and study a new stochastic order which gives stochastic
comparison for mean residual life of strictly increasing concave function of two
random variables. We show that this new stochastic order lies between the hazard
rate and mean residual life orders. The preservation properties under mixtures are
presented here. Finally, we give some applications of this new order in reliability
theory. |
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| Keywords: | mean residual life order mixture preservation properties renewal processes |
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