## 随机模拟分析大数定律和中心极限定理的极限性质

TitleSimulationanalysis of the law of large numbers and The central limit theorem
Abstract
With the rapid development of computer technology, computer simulation has become a powerful tool for solving mathematical problems. Limit nature law of large numbers and central limit theorem are using a computer simulation method to simulate and analyze. Paper first introduces the ultimate nature of the law of large numbers and the central limit theorem.Then using a computer simulation of matlab generates a random number.And the limits of their situation and the nature oflimitsare simulated in the computer. Limiting case of simulated well in line with the law of large numbers and central limit theorem. And then we analyze their errors through graphs and tables, visually see the limit when n tends to infinity.
By learning computer simulations and theoretical proof,we canunderstand the nature of their limits better. 源`自*六)维[论*文'网www.lwfree.cn
Keywordsthe law of large numbersthe central limit theorem the limit properties computer simulation matlab computer simulation

1    引言1
1.1    课题研究的意义2
1.2 课题研究的目标 2
2 大数定律和中心极限定理3
2.1大数定律3
2.2中心极限定理5
3 计算机模拟 7
3.1 计算机模拟的产生和发展过程7
3.2 计算机模拟的基本概念与步骤8
3.3matlab计算机模拟8
4matlab计算机模拟分析大数定律和中心极限定理 10
4.1 matlab模拟大数定律 10
4.2 matlab模拟中心极限定理 15

1引言

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