# 基于Copula函数的学生成绩极值与均值的相关性研究The Study of the Correlation between Extreme Value and Mean Value of the Student Achievement Based on Copula Function

DOI: 10.12677/AAM.2017.64061, PDF, HTML, XML, 下载: 1,406  浏览: 3,766

Abstract: Based on the semiparametric estimation method of nonparametric kernel density and the square and Euclidean distance with empirical Copula functions, the Gumbel Copula model is established for the extreme and mean value of the student achievement. We rely on the Gumbel Copula function to investigate the correlation between the highest score, the lowest score and the average score. It turns out that the Kendall rank correlation coefficient and the upper tail correlation coefficient are slightly higher than the highest points.

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