TITLE:
Analysis of College Students’ Test Scores Based on Two-Component Mixed Generalized Normal Distribution
AUTHORS:
Luliang Wen, Haiwu Rong, Yanjun Qiu
KEYWORDS:
Two-Component Mixed Generalized Normal Distribution, Two-Component Mixed Normal Distribution, ECM Algorithm, Test Scores
JOURNAL NAME:
Journal of Data Analysis and Information Processing,
Vol.11 No.1,
February
8,
2023
ABSTRACT: In order to improve the fitting accuracy of college
students’ test scores, this paper proposes two-component mixed generalized
normal distribution, uses maximum likelihood estimation method and Expectation
Conditional Maxinnization (ECM) algorithm to estimate parameters and conduct
numerical simulation, and performs fitting analysis on the test scores of
Linear Algebra and Advanced Mathematics of F University. The empirical results
show that the two-component mixed generalized normal distribution is better
than the commonly used two-component mixed normal distribution in fitting
college students’ test data, and has good application value.