| 特征函数与分布函数中若干问题之探讨 |
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| 引用本文： | 刘晓鹏,邵吉光.特征函数与分布函数中若干问题之探讨[J].北方交通大学学报,2011(3):156-161,166. |
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| 作者姓名： | 刘晓鹏 邵吉光 |
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| 作者单位： | 北京交通大学理学院,北京100044 |
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| 摘 要： | 特征函数是概率论中一个重要的分析工具,本文对其进行了分析与探讨.对以往文献相关部分中存在局限性的证明给予了分析并给出了新的证明,而当特征函数的定义加以推广后,本文用一种新的方法对一些新性质进行了证明.同时,本文还证明了分布函数的一个有用的性质.
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| 关 键 词： | 特征函数 分布函数 F-S变式 随机变量 L-S测度 |
Research on some problems of characteristic function and distribution |
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| LIU Xiaopeng,SHAO Jiguang.Research on some problems of characteristic function and distribution[J].Journal of Northern Jiaotong University,2011(3):156-161,166. |
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| Authors: | LIU Xiaopeng SHAO Jiguang |
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| Institution: | (School of Science,Beijing Jiaotong University,Beijing 100044,China) |
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| Abstract: | Characteristic function is an important analytic tool in probability theory.In this paper,we analyse and study it.The limited proof about characteristic function in known references is analyzed and a new proof is given.When the concept of characteristic function is extended,we prove some new properties of it with a new method.Besides,an useful property of distribution function is obtained. |
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| Keywords: | characteristic function distribution function F-S transform random variable L-S measure |
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