Arya Bhatta Journal of Mathematics and Informatics

The main objective of this work is to analyze the existing patterns of parameters considered for world universities ranking problems using statistical tool, correlation among the parameters, Kullback- Leibler divergence measure (KL-Divergence) and J-Divergence for better pattern to raise the standard of rank among the universities or institutes. We have considered the current pattern and the past, to raise the standard of higher education of the concerned universities considering different main parameters. Correlation among them and using the Kullback-Leibler Divergence measure and J-Divergence, established, the better pattern to be utilized to establish the rank among the universities. Section 2 presents the basic concepts of divergence measures. Section 3 presents the data and patterns considered by QS and THE while section-4 presents The correlation coefficient combined. By as well as separately parameter wise for first 15 universities and section 5 represents the correlation among the parameters years wise as well as university wise for first five universities and suggests the correlation between citation and research is the best combination. Section 6 uses weighted Kullback-Leibler Divergence measure for parametric relation and section 7 presents the application of weighted J-Divergence, establishing which pattern is most suitable to raise the rank.