毕业论文 常见分布的性质及其应用.doc
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毕业论文 常见分布的性质及其应用,目录第一章：绪论------------------------------------------------------------------- 31.1 随机变量---------------------------------------------------------------------------...
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目录
第一章：绪论------------------------------------------------------------------- 3
1.1 随机变量------------------------------------------------------------------------------3
1.2 离散型随机变量及其分布---------------------------------------------------------3
1.3 连续型随机变量及其分布---------------------------------------------------------4
第二章：常见离散型分布及其应用-----------------------------------------4
2.1 0-1分布及其应用---------------------------------------------------------------- ----4
2.2 几何分布及其应用-------------------------------------------------------------------5
2.3 二项分布及其应用-------------------------------------------------------------------6
2.4 泊松分布及其应用-------------------------------------------------------------------7
第三章：常见连续型分布及其应用-----------------------------------------11
3.1 均匀分布及其应用-----------------------------------------------------------------11
3.2 指数分布及其应用-----------------------------------------------------------------12
3.3 正态分布及其应用-----------------------------------------------------------------13
参考文献------------------------------------------------------------------------23
常见分布的性质及其应用
张久恩，数学计算机学院
摘 要：在概率论领域里，我们研究的概率分布大体分为两种：离散型概率分布和连续性概率分布。常见的离散型的概率分布有四种--两点分布或（0-1）分布， 几何分布，二项分布以及泊松分布。而常见的连续性概率分布有三种--均匀分布，指数分布，正态分布。这七种常见的概率分布使我们学习概率论的最基本最常见的分布。而这七种分布之间也有相互的联系。两点分布即是一种特殊的二项分布；二项分布在n趋向 时近似泊松分布；泊松分布和二项分布在n趋向 时也服从正态分布。这七种概率分布因其基础性与常见性，因而在实际生活中应用广泛，特别是工程，医药，财经等领域。
本文先是介绍了一些基本的概率知识，用集合的方法定义一些概率的概念。然后介绍两大类概念分布--离散型概率分布和连续性概率分布。紧接着着重学习研究了上面提到的七种概率分布：（0-1）分布，几何分布，二项分布，泊松分布，均匀分布，指数分布，正态分布及其应用。而正态分布又是我们最为常见研究最多应用最为广泛的概率分布。
关键词：离散型概率分布；连续性概率分布；(0-1）分布；几何分布；二项分布；泊松分布；均匀分布；指数分布；正态分布；
The quality and application of common probability distribution
ZhangJiuEn，Mathematics and applied mathematics
Abstract： The distributions which we study in the fields of possibility apparently classify as two rates: The discrete distribution and continuous distribution. While two-points distribution or (0-1) distribution, geometric distribution, binominal distribution and poisson distribution are the common four kinds of discrete distributions. And the uniform distribution ,exponential distribution and normal distribution are the common three kinds of continuous distributions .These seven types of distributions are the most basic and common distribution we have learned. What’s more ,there is some relation among these distributions. For instance, two-points distribution is a special type of binomial distribution; and binomial distribution similar to poisson distribution when n tends to ; besides, poisson and binomial distribution similar to the normal distribution when n tends to . These seven kinds of distribution are applied widely in the daily life, especially in the fields of engineering and medicine and finance, due to their fundamental and common quality.
We introduce some basic knowledges of possibility firstly, define some concepts of possibility with the methods of set. And then we introduce the two types of possibility distribution—discrete distribution and continuous distribution. Lastly, we focus on the study of the seven kinds of distributions discussed above. And the normal distribution is the distribution we study and applied mostly,and also the most commom one.
Key words : Discrete Distribution；Continuous Distribution; Two-points Distribution; Geometric Distribution; Binomial Distribution; Poisson Distribution; Uniform Distribution; Exponential Distribution; Normal Distribution.
第一章：绪论------------------------------------------------------------------- 3
1.1 随机变量------------------------------------------------------------------------------3
1.2 离散型随机变量及其分布---------------------------------------------------------3
1.3 连续型随机变量及其分布---------------------------------------------------------4
第二章：常见离散型分布及其应用-----------------------------------------4
2.1 0-1分布及其应用---------------------------------------------------------------- ----4
2.2 几何分布及其应用-------------------------------------------------------------------5
2.3 二项分布及其应用-------------------------------------------------------------------6
2.4 泊松分布及其应用-------------------------------------------------------------------7
第三章：常见连续型分布及其应用-----------------------------------------11
3.1 均匀分布及其应用-----------------------------------------------------------------11
3.2 指数分布及其应用-----------------------------------------------------------------12
3.3 正态分布及其应用-----------------------------------------------------------------13
参考文献------------------------------------------------------------------------23
常见分布的性质及其应用
张久恩，数学计算机学院
摘 要：在概率论领域里，我们研究的概率分布大体分为两种：离散型概率分布和连续性概率分布。常见的离散型的概率分布有四种--两点分布或（0-1）分布， 几何分布，二项分布以及泊松分布。而常见的连续性概率分布有三种--均匀分布，指数分布，正态分布。这七种常见的概率分布使我们学习概率论的最基本最常见的分布。而这七种分布之间也有相互的联系。两点分布即是一种特殊的二项分布；二项分布在n趋向 时近似泊松分布；泊松分布和二项分布在n趋向 时也服从正态分布。这七种概率分布因其基础性与常见性，因而在实际生活中应用广泛，特别是工程，医药，财经等领域。
本文先是介绍了一些基本的概率知识，用集合的方法定义一些概率的概念。然后介绍两大类概念分布--离散型概率分布和连续性概率分布。紧接着着重学习研究了上面提到的七种概率分布：（0-1）分布，几何分布，二项分布，泊松分布，均匀分布，指数分布，正态分布及其应用。而正态分布又是我们最为常见研究最多应用最为广泛的概率分布。
关键词：离散型概率分布；连续性概率分布；(0-1）分布；几何分布；二项分布；泊松分布；均匀分布；指数分布；正态分布；
The quality and application of common probability distribution
ZhangJiuEn，Mathematics and applied mathematics
Abstract： The distributions which we study in the fields of possibility apparently classify as two rates: The discrete distribution and continuous distribution. While two-points distribution or (0-1) distribution, geometric distribution, binominal distribution and poisson distribution are the common four kinds of discrete distributions. And the uniform distribution ,exponential distribution and normal distribution are the common three kinds of continuous distributions .These seven types of distributions are the most basic and common distribution we have learned. What’s more ,there is some relation among these distributions. For instance, two-points distribution is a special type of binomial distribution; and binomial distribution similar to poisson distribution when n tends to ; besides, poisson and binomial distribution similar to the normal distribution when n tends to . These seven kinds of distribution are applied widely in the daily life, especially in the fields of engineering and medicine and finance, due to their fundamental and common quality.
We introduce some basic knowledges of possibility firstly, define some concepts of possibility with the methods of set. And then we introduce the two types of possibility distribution—discrete distribution and continuous distribution. Lastly, we focus on the study of the seven kinds of distributions discussed above. And the normal distribution is the distribution we study and applied mostly,and also the most commom one.
Key words : Discrete Distribution；Continuous Distribution; Two-points Distribution; Geometric Distribution; Binomial Distribution; Poisson Distribution; Uniform Distribution; Exponential Distribution; Normal Distribution.
