| 尾年金分布的存在性和结构 |
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| 引用本文： | 梁志彬,杨向群.尾年金分布的存在性和结构[J].应用概率统计,2007,23(2):133-142. |
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| 作者姓名： | 梁志彬 杨向群 |
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| 作者单位： | 1. 南京师范大学数学与计算机科学学院,南京,210097;南开大学数学学院,天津,300071
2. 湖南师范大学数学系,长沙,410081 |
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| 摘 要： | 本文主要是在年金分布的基础上, 推广、定义并研究了一类$r$尾年金分布的存在性和结构, 给出了这类分布的存在性条件, 证明了在一定条件下, $r$尾年金分布是年金分布与某一特殊$r$尾年金分布的混合.
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| 关 键 词： | 尾年金分布 概率母函数 混合. |
| 收稿时间： | 2004-02-18 |
| 修稿时间： | 2004-02-182006-09-14 |
The Existence and the Structure of $r$-Truncated Annuity Distribution |
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| LIANG ZHIBIN,YANG XIANGQUN.The Existence and the Structure of $r$-Truncated Annuity Distribution[J].Chinese Journal of Applied Probability and Statisties,2007,23(2):133-142. |
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| Authors: | LIANG ZHIBIN YANG XIANGQUN |
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| Institution: | Institute of Mathematics and Computer Science, Nanjin9 Normal University, Nanjing, 210097; School of Mathematical Sciences and LPMG, Nankai University, Tianjin, 300071;Department of Mathematics, Hunan Normal University, Changsha, 410081 |
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| Abstract: | The primary objective of this paper is to define the r-truncated annuity distribution,which is a generalization of the annuity distribution in refs:5],6].Conditions for the existence of these distributions are given.It is proved that under certain conditions,the r-truncated annuity distribution is the mixture of an annuity distribution and a special r-truncated annuity distribution. |
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| Keywords: | r-truncated annuity distribution probability generating function mixture |
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