### The Application of Central Limit Theorem

Qianju Cheng

#### Abstract

The central limit theorem is a kind of important theorem in the probability theory that the distribution of the sequence of random variables is asymptotically normal. In this paper, we fi rst give some common central limit theorems from the content of the central limit theorem, and then prove the central limit theorem in the supply of electricity, device prices, shopping malls management, cigarette manufacturing, social life, military problem and so on. Finally, the advantages and disadvantages of the central limit theorem are analyzed.

#### Keywords

random variable; central limit theorem; normal distribution; probability theory; approximate calculation

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#### References

Xie Yongqin. Probability Theory and Mathematical Statistics [M]. Beijing: Beijing University of Posts and Telecommunications

Press, 2009: 18-36.

Wei Wenyuan. Probability theory and mathematical statistics [M]. Tianjin: Tianjin Education Press .2006: 89-94.

Su Chun. Probability theory [M]. Beijing: Science Press, 2010: 34-36.

Gong Yourong. Statistics [M]. Beijing: Mechanical Industry Press, 2004

Yan Keyu. Cigarette smoke chemistry [M]. Zhengzhou: Zhengzhou University Press, 2002.

Ding Zhengsheng. Probability theory and mathematical statistics concise tutorial [M]. Beijing: Higher Education Press, 2005:

-49.

Fan Jincheng, Zhou Jia, Qian Changben. Probability theory [M]. Xi'an: Xi'an Jiaotong University Press .1987: 105-130.

Wei Zongshu. Probability theory and mathematical statistics tutorial [M]. Beijing: Higher Education Press .2008: 45-99.

Song Qinglong. The central limit theorem in the mall management role [J]. Shopping Mall Modernization. 2006, (482): 70-71

Fisher R. A. Theory of statistical estimation. Proceedings of the Cambridge Philosophical Society, 1925 (22): 700-715

Finklestein J A, Byar D P. Percentage points of the asympotic distributions of one and two sample K-S statistics for truncated

or censored data. Technologist, 1975 (17): 507-510

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