| 平均样本间隔的性质及其在拍卖中的应用 |
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| 引用本文： | 王丰效.平均样本间隔的性质及其在拍卖中的应用[J].数学的实践与认识,2007,37(5):60-64. |
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| 作者姓名： | 王丰效 |
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| 作者单位： | 陕西理工学院,数学系,陕西,汉中,723000 |
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| 摘 要： | 研究了平均样本间隔E(Xk+1:n-Xk:n)的性质.证明了当X具有DRHR年龄性质时,E(Xk+1:n-Xk:n)关于样本容量n递减.而当X具有IFR年龄性质时,E(Xk+1:n-Xk:n)-E(Xk+2:n+1-Xk+1:n+1)非负.最后,讨论了主要结果在拍卖模型中的应用.
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| 关 键 词： | DRHR IFR 平均样本间隔 拍卖 |
| 修稿时间： | 2005年12月15 |
The Properties of Mean Sample Spacings and Its Application in Auction |
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| WANG Feng-xiao.The Properties of Mean Sample Spacings and Its Application in Auction[J].Mathematics in Practice and Theory,2007,37(5):60-64. |
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| Authors: | WANG Feng-xiao |
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| Abstract: | The properties of mean sample spacings are studied.It is shown that that the mean sample spacings E(Xi+1:n-Xi:n) is nonincreasing in the sample size if distribution is DRHR and E(Xi+1:n-Xi:n)-E(Xi+2:n+1-Xi+1:n+1) is nonnegative if distribution is IFR.Some application in auction model are present as well. |
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| Keywords: | DRHR IFR |
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