数学毕业论文-全概率公式的推广与应用

全概率公式的推广与应用

摘要

全概率公式是概率论中的1个重要公式，本文对此公式进行若干推广，并对此公式在概率计算、边际分布计算以及递推公式的建立等方面的应用进行了1些探讨。本文主要介绍了全概率公式的7种推广，以及全概率公式在3个方面的应用，即有关古典概率计算，应用于求边际分布，以及利用其建立递推关系的问题。关于全概率公式的推广与应用远远不止这些，本文只是从他的某些方面做了1个概括，总的说来，全概率公式是概率当中1个非常重要而且实用的1个公式，能够在我们的生产实际中发挥着举足轻重的作

用。

关键词：马尔可夫链，首步分析法 ，贝叶斯公式

Popularization and application of the

Total probability formula

Abstract

The Total probability formula is an important formula in the probability theory , this text carries on several popularization to this formula, and until probability calculate, margin distribute calculate and foundation of recurrence formula application of carry on some discussions to formula this. This text has mainly introduced seven kinds of popularization of the total probability formula , and the total application in three aspects of probability formula, i.e. relevant classical probability calculate, apply to, ask margin distribute , utilize it establish , pass , push away issue of relation. About the total probability popularization and employ , far above these far of formula, this text make one summarize from some respect of him just, generally speaking, the total probability formula one very important and practical formula among the probability, can play a very important role in our production reality .

Keywords：Markov chain, the analytic approach of the first step , Bayes formula

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--------------------------------------------------------------2

前言-------------------------------------------------------------------------3

正文-------------------------------------------------------------------------4

1 基本概念和定理--------------------------------------------------------------4

2 隔项比值判别法--------------------------------------------------------------5

3 以调和级数为比较对象的比较判别法---------------------------------------------11

4 阿贝尔判别法的推广----------------------------------------------------------13

5 函数判别法-----------------------------------------------------------------15

6 结束语---------------------------------------------------------------------18

参考文献---------------------------------------------------------------------19

致谢-------------------------------------------------------------------------20

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