摘要概率论中的统计方法有很多，但是其中比较重要的方法论还要属大数定律了。大数定律在很多领域都有广发的应用，例如经济金融，社会医学等专业领域，但是，各种条件下的大数定律只是局限于理论，本文就是讨论在实际生活中大数定律是如何进行运用的。大数定律其实就是指当样本数据量特别大的时候，某一变量就会呈现出一定规律性，呈现出规律性的这一个变量通常就是我们所说的平均值，所以当样本数据量特别大的时候，平均结果一定会稳定于某一固定值。86726

因此大数定律在概率数理统计当中的作用不言而喻，它在数学领域与经济生活领域同样有着巨大的作用。本文就列举了一些大学学习阶段中常常会遇到的几个大数定律，通过这些具体的例子，粗略介绍了几个大数定律在金融保险方面的简单应用，进一步阐述大数定律在其他分支学科中的重要作用与应用价值。

毕业论文关键词：大数定律，金融保险，应用

Abstract  There are many statistical methods in probability theory, but one of the more important methodological also belong to the law of large numbers。 Law of large numbers in many areas have widely distributed applications, such as the economic and financial fields of expertise, social medicine, but the law of large numbers under various conditions is bound by theory, this article is to discuss how the law of large numbers is carried out in real life utilization。Law of large numbers means that when the sample is in fact particularly large amount of data when a variable will be showing a certain regularity, showing that a variable is usually what we call the average regularity, so when a particularly large amount of data sample when the average result will stabilize at a fixed value。

  Therefore, the role of law of large numbers in probability and mathematical statistics were self-evident, it also has a huge role in the field of mathematics and economic life。 This article lists some law of large numbers several university study stages often encountered by these specific examples, law of large numbers roughly describes several simple applications in terms of finance and insurance, further elaborated in other branches of the law of large numbers subject of the important role and value。

Keywords：Law of large numbers ;Financial insurance ;Application

目  录

第一章 绪论 1

1。1背景介绍 1

1。2大数定律的发展历史 1

1。3。研究内容及意义 2

第二章 大数定律 4

2。1问题的提出 4

2。2几种收敛性的概念 4

2。3大数定律的一般形式 6

2。4几个大数定律的关系 9

第三章 大数定律在保险中的应用实例 10

3。1承保业务量、责任准备金与安全附加系数 10

3。2。降低被保险人平均危险值 11

3。3。计算自留额、保险单位数及盈利概率 11

3。4大数定律在保险中的其他实例 13

第四章 大数定律在金融生活中的应用 14

4。1 大数定律在彩票中的理论依据 14

4。2大数定律在彩票中的应用实例