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greattom365

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摘 要:随机变量独立性在概率论中占据着十分重要的地位,是《概率论与数理统计》教材中的一个重点,也是学生学习的一个难点,因而其相关研究一直以来都被作为一个独立的课题来进行。随机变量分为离散型随机变量和连续型随机变量,由于在数学研究中最常见的是连续型随机变量,所以我们在研究时侧重于连续性随机变量的独立性研究。本文总结了几种随机变量独立性的辨别方法,并给出了一个非常好用的判别随机变量独立性的充要条件。并对其进行了详细的证明推导。文中列举了几道具有针对性的例题来熟悉各种辨别法的应用情况以及注意事项。
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孤傲的王子

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greattom365(金币+50, 翻译EPI+1): 整体还不错 个别地方有语法硬伤 继续努力 2011-05-22 22:27:34
Abstract: The independence of random variables in probability theory occupies a very important position. It is the key to the "Probability and Statistics" textbook  , but also a difficulty of  students,  thus the related research has  been being used as an independent subject . Random variables into discrete random variables and continuous random variables,  and we study focused on the independence of continuous random variables as  the most common in the mathematical study is the continuous random variable. This paper summarizes the identification of several independent random variables, and gives a very nice random variables determine the necessary and sufficient conditions for independence. And a detailed proof of its derivation. The paper cited a few more examples to become familiar with the targeted application of various identification methods and precautions.

Keywords: Precautions   Independence      Probability theory    Continuity   Targeted
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2楼2011-05-22 00:14:05
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