全概率公式的推廣與應用
摘要
全概率公式是概率論中的1個重要公式，本文對此公式進行若干推廣，並對此公式在概率計算、邊際分佈計算以及遞推公式的建立等方面的.應用進行了1些探討。本文主要介紹了全概率公式的7種推廣，以及全概率公式在3個方面的應用，即有關古典概率計算，應用於求邊際分佈，以及利用其建立遞推關係的問題。關於全概率公式的推廣與應用遠遠不止這些，本文只是從他的某些方面做了1個概括，總的說來，全概率公式是概率當中1個非常重要而且實用的1個公式，能夠在我們的生產實際中發揮著舉足輕重的作
用。
關鍵詞：馬爾可夫鏈，首步分析法 ，貝葉斯公式
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 錄
中文標題---------------------------------------------------------------------1
中文摘要、關鍵詞--------------------------------------------------------------1
英文標題---------------------------------------------------------------------1
英文摘要、關鍵詞--------------------------------------------------------------2
前言-------------------------------------------------------------------------3
正文-------------------------------------------------------------------------4
1 基本概念和定理--------------------------------------------------------------4
2 隔項比值判別法--------------------------------------------------------------5
3 以調和級數為比較物件的比較判別法---------------------------------------------11
4 阿貝爾判別法的推廣----------------------------------------------------------13
5 函式判別法-----------------------------------------------------------------15
6 結束語---------------------------------------------------------------------18
參考文獻---------------------------------------------------------------------19
致謝-------------------------------------------------------------------------20
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