| 基于分散型和扩散型随机序对几种寿命分布类的刻画 |
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| 引用本文： | 胡太忠,贺方毅.基于分散型和扩散型随机序对几种寿命分布类的刻画[J].应用概率统计,2004,20(1):66-76. |
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| 作者姓名： | 胡太忠 贺方毅 |
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| 作者单位： | 1. 中国科学技术大学统计与金融系,合肥,230026
2. 伊朗Razi大学统计系 |
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| 基金项目： | Supported by the NNSF of China(Grant No.:10171093)，the National 973 Fundamental Research Program on Financial Engineering(Grant No:G1998030418)，the Doctoral Program Foundation of Institute of High Education. |
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| 摘 要： | 本文基于分散型和(或)扩散型随机序，利用随机变量的剩余寿命给出了寿命分布类ILR，IFR，DMRL和IFR(2)及其对偶类的刻画．作为主要结果的一个应用，用k／n-系统的剩余寿命对IFR和DMRLS及其对偶类进行了刻画．这些结果拓宽和加强了文献中已有的结果．
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| 关 键 词： | 一般随机序 失效率序 似然率序 平均剩余寿命序 单增凹（凸）序 右伸展序 寿命分布类 |
Characterizations of Some Aging Notions by Means of the Dispersion-type or Dilation-type Variability Orders |
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| Abstract.Characterizations of Some Aging Notions by Means of the Dispersion-type or Dilation-type Variability Orders[J].Chinese Journal of Applied Probability and Statisties,2004,20(1):66-76. |
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| Authors: | Abstract |
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| Abstract: | Some aging notions (ILR, IFR, DMRL, IFR(2) and their duals) are characterized in terms of the dispersion-type or dilation-type variability orders, using the residual lifetime of the underlying random variable. As one application of the main results, the aging notions IFR and DMRLS and their duals are also characterized by using the residual lifetimes of k-out-of-n systems. These results extend and strengthen some known characterizations in the literature. |
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| Keywords: | Usual stochastic order hazard rate order likelihood ratio order mean residual life order increasing concave (convex) order right spread order ILR DLR IPR DFR DMRL IMRL IPR(2) DFR(2) DMRLS IMRLS |
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