Research - Kumaraguru College of Liberal Arts & Science (KCLAS)

Name of the faculty: Dr. Mary Louis
Professor
School of Mathematics
[email protected]

Research Interests:

Recently published articles

1. Exogenous Parametric Model for the Analysis of the COVID-19 Causalities

Authors: Shameena.H.Khan1 , Mary Louis.L2

Assistant Professor, Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, India1

Professor, Department of Mathematics, Kumara guru College of Liberal Arts and Science, India2

Journal: International Journal of Innovative Research in Science, Engineering and Technology (IJIRSET) ||Volume 9, Issue 11, November 2020||

Abstract: The novel coronavirus (COVID-19) is the main societal concern these days. The virus has distinct effects in different countries. This paper is using the current data of COVID-19 for the mathematical model and analysis. We bring in a new representation to evaluate and manage the outbreak of infectious disease COVID-19 through parametric model considering the exogenous factors such as; growth rate of infectious people as the output and age, travel restrictions, temperature, gender, social distancing and using face mask as the inputs. Parameter estimation was carried out using maximum likelihood estimation method. Numerical results are presented through the appropriate tables and graphs using the data of seven countries.

Keywords: Covid-19, parametric model, infectious, maximum likelihood, exogenous factors.

Article link:

2. A Comparative Study of Cost Optimization Model under Parametric and Nonparametric Approach

Shameena.H.Khan1, Mary Louis2
1Assistant Professor, 2Professor, Department of Mathematics
1Avinashilingam Institute for Home Science and Higher Education for Women,
2Kumaraguru College of Liberal Arts and Science.

Journal: Journal of Information and Computational Science

Abstract: For the cost optimization a parametric model with a joint distributional assumption of normal half normal and non-parametric model with linear programming techniques are used here. Propose models were analyzed using LIMDEP 11 software with the data from maize farming for the comparative study. The empirical result showed that parametric model outstand non parametric model in cost optimization.

Keywords: Cost Optimization, parametric, nonparametric, normal half normal, linear programming Article link: https://drive.google.com/file/d/1GqLSPZWyFL928EyNWJMpvLPshTCjIchW/view