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數(shù)學(xué)畢業(yè)論文-全概率公式的推廣與應(yīng)用
全概率公式的推廣與應(yīng)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(jìn)行若干推廣，并對此公式在概率計算、邊際分布計算以及遞推公式的建立等方面的應(yīng)用進(jìn)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(yīng)用，即有關(guān)古典概率計算，應(yīng)用于求邊際分布，以及利用其建立遞推關(guān)系的問題。關(guān)于全概率公式的推廣與應(yīng)用遠(yuǎn)遠(yuǎn)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(dāng)中1個非常重要而且實用的1個公式，能夠在我們的生產(chǎn)實際中發(fā)揮著舉足輕重的作
用。
關(guān)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(biāo)題---------------------------------------------------------------------1
中文摘要、關(guān)鍵詞--------------------------------------------------------------1
英文標(biāo)題---------------------------------------------------------------------1
英文摘要、關(guān)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(diào)和級數(shù)為比較對象的比較判別法---------------------------------------------11
4 阿貝爾判別法的推廣----------------------------------------------------------13
5 函數(shù)判別法-----------------------------------------------------------------15
6 結(jié)束語---------------------------------------------------------------------18
參考文獻(xiàn)---------------------------------------------------------------------19
致謝-------------------------------------------------------------------------20
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