若干概率分布的正态逼近

若干概率分布的正态逼近

摘 要

在整个概率论与数理统计中,各种分布起了重要的作用,其中以正态分布最为重要.许多重要的概率分布都与正态分布密切相关;此外,很多重要分布的极限分布,在1定条件下也都是正态分布;有些随机变量其分布虽然未知,但是只要满足很1般的条件,其极限分布也是正态分布.本文主要介绍了若干概率分布的正态逼近,探讨了他们的应用,充分说明正态分布在概率统计中的重要地位.

关键词：常用分布；特征函数；正态逼近；正态逼近的应用

The normal approximation of some probability

ABSTRACT

Various kinds of distribution have played a very important role in the whole probability theory, among them it is most important to regard normal distribution as.a lot of important .many important probability distribution all have something to do with normal distribution; In addition, a lot of important limit distributed is distributed, are all normal distribution under certain condition; Some random probability distribution of variable unknown even, must meet general terms very, it is normal distribution too that its limit is distributed. In my this paper, i introduce the normal approximation of some probability, and discuss the application of them to speak volumes for the important status in the probability statistics of normal distribution.

Key word:The typic Distribution; Eigenfunction; Normal approximation; The application of the normal approximation

目 录

中文标题---------------------------------------------------------------------1

中文摘要﹑关键词-------------------------------------------------------------1

英文标题---------------------------------------------------------------------1

英文摘要﹑关键词--------------------------------------------------------------1

正文-------------------------------------------------------------------------2

§1 引言---------------------------------------------------------------------2

§2 常用分布-----------------------------------------------------------------2

§3 常用分布的正态逼近--------------------------------------------------------4

§4 在近似计算中的应用-------------------------------------------------------13

§5 其他应用举例 ------------------------------------------------------------15

§6 结束语 ------------------------------------------------------------------22

参考文献 -------------------------------------------------------------------23

致谢------------------------------------------------------------------------24

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