统计分布和中心极限定理的随机模拟

Stochastic Simulation of Statistical Distribution and Central-limit Theorem

统计量的分布和中心极限定理在统计学中有着重要作用。统计量的图形依赖于参数设置,然而大部分参考书籍的内容以数学公式为主,致使读者在学习过程中难以理解背后的原理及含义。基于此,文章利用Stata的随机函数对统计学中的统计量分布和中心极限定理进行模拟,并将模拟结果用图形进行展示,以便让读者更直观地理解和学习相关内容。

The distribution of statistics and the central-limit theorem play an important role in statistics.The graph of statistics depends on parameter setting,but the content of most reference books is mainly based on mathematical formulas,which makes it difficult for readers to understand the principle and meaning behind in the learning process.On this basis,this paper uses the random function in Stata to simulate the distribution of statistics and the central-limit theorem in statistics,and presents the simulation results with graphs,so that readers can understand and learn relevant content more intuitively.