Research on Statistics in Large Sample Test
International Journal of Statistical Distributions and Applications
Volume 3, Issue 3, September 2017, Pages: 61-63
Received: Mar. 16, 2017;
Accepted: Apr. 7, 2017;
Published: Oct. 31, 2017
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Yangjing Chong, Mathematics Department, Yanbian University, Yanji, P. R. China
Fangfang Guo, Mathematics Department, Yanbian University, Yanji, P. R. China
Wenyuan Sun, Mathematics Department, Yanbian University, Yanji, P. R. China
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Assuming that the test is one of the main contents of the statistical inference, it is widely used, and almost all of the major fields use hypothesis test, a statistical idea, and in the process of hypothesis testing, we need to construct a reasonable test statistic. Therefore, based on the hypothesis test and the knowledge of the central limit theorem, we construct a new test statistic when the sample size is sufficiently large, This statistic makes the calculation of the original test problem easier. This paper verifies the rationality of this test statistic by an example.
Large Sample Test, Central Limit Theorem, Test Statistic
To cite this article
Research on Statistics in Large Sample Test, International Journal of Statistical Distributions and Applications.
Vol. 3, No. 3,
2017, pp. 61-63.
Copyright © 2017 Authors retain the copyright of this article.
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Wang Zhifu, Pan Xu, Jin Shu, Tian Feng, Wang Yan. Hypothesis test principle and its application [J]. Journal of Bohai University (Natural Science Edition), 2013, (02): 101-105.
Shi Ying. How to set hypothesis in parameter hypothesis test [J]. Journal of Mathematical Medicine, 2016, (12): 1886-1887.
Luo Ronghua, Wu Kun. A New Thinking of Hypothesis Testing [J]. Statistics & Decision, 2014, (08): 23-25.
Su Zaigxing, WANG Zhi-fu, WANG Jun, HAN Dan-dan. On the relationship between hypothesis testing null hypothesis and alternative hypothesis [J]. Journal of Information Science and Technology, 2010, (21): 643 + 926.
Mao Shisong, Cheng Yiming, Pu Xiaolong. Probability Theory and Mathematical Statistics Course Second Edition. Higher Education Press.
Huo Jian. A new method of large sample normality test [J]. Statistics and Decision, 2013, (19): 67-68.
Wei Zongshu. Probability Theory and Mathematical Statistics Tutorial [M]. Beijing: Higher Education Press, 2008.
Zhu Songtao, Song Zixing. Probability Theory and Mathematical Statistics Tutorial [M]. Jinan: Shandong University Press.
Ding Jian, Li Hongju. Application of central limit theorem in statistical inference [J]. Journal of Changchun Normal University, 2015, (02): 12-14.
Yang Gang. Study on the Determination of Rejected Domain in Parameter Hypothesis Test [J]. Journal of Changchun Institute of Technology (Natural Science Edition), 2012, (02): 126-128.
Li Mingquan. On the maximum likelihood estimation method teaching [J]. Journal of Mudanjiang University, 2010, (07): 116-118.