| 拉普拉斯变换序及相关序的关系 |
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| 引用本文： | 胡文杰,张晓冉,温燕清.拉普拉斯变换序及相关序的关系[J].重庆工商大学学报(自然科学版),2006,23(6):535-538. |
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| 作者姓名： | 胡文杰 张晓冉 温燕清 |
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| 作者单位： | 燕山大学,理学院,河北,秦皇岛,066004 |
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| 摘 要： | 随机变量之间的大小关系(即序关系)在实际问题中具有重要的意义.关于随机变量随机序的一般理论及其在各领域的应用已有比较丰富的研究结果.主要讨论了增加凸(凹)序、拉普拉斯变换序、矩母函数序、阶乘矩序以及矩序之间的关系,最后以两点分布为例简单证明了这种关系.
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| 关 键 词： | 增加凸(凹)序 拉普拉斯变换序 矩母函数序 阶乘矩序 矩序 |
| 文章编号： | 1672-058X（2006）06-0535-04 |
| 收稿时间： | 2006-06-29 |
| 修稿时间： | 2006-06-292006-09-10 |
Relations between Laplace Transform Order and related orders |
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| HU Wen-jie,ZHANG Xiao-ran,WEN Yan-qing.Relations between Laplace Transform Order and related orders[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2006,23(6):535-538. |
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| Authors: | HU Wen-jie ZHANG Xiao-ran WEN Yan-qing |
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| Institution: | College of Science, University of Yanshan, Hebei Qinhuangdao 066004, China |
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| Abstract: | The size relations between random variables(i.e.the ordering relationship) have important meaning.The theories and applications in every field of random varibles' stochastic orders have comparatively abundant research conclusion.This paper investigated the relations among increasing convexconcave] order,Laplace transform order,moments generating function order,factorial moments order and moments order,in the end,takes the two point functions as an example to prove these relations. |
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| Keywords: | increasing convex[concave] order Laplace Transform Order moments generating function order factorial moments order moments order |
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