Specialization

Applied Statistics, Stochastic Process, Probability

Email

vijay.kumar4@thapar.edu

Assistant Professor

vijay.kumar4@thapar.edu

Biography

Vijay Kumar is working as an Associate Professor in the Department of Mathematics (SOM), Thapar Institute of Engineering & Technology (TIET), Patiala. He received his M.Sc. and Ph.D. degree in Statistics from Department of Mathematics, IIT Bombay, Mumbai, demonstrating a strong foundation in advanced statistical methodologies and data analysis. He is proficient in conducting rigorous research, developing mathematical models, and extracting actionable insights from complex data. Dr. Kumar's expertise extends to various statistical software packages like R, Python, MATHEMATICA, IBM SPSS, and MATLAB, allowing him to analyze data and solve real-world problems.

Experience:

• Assistant Professor, Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala. (July 2024- Till date)
• Assistant Professor, School of Computer Science, University of Petroleum and Energy Studies, Dehradun, Uttarakhand (January 2024-June 2024)
• Research Associate, Department of Mathematics, IIT Bombay, Mumbai, Maharashtra. (July 2023-November 2023)

Teaching Interests:

• Probability and Statistics
• Statistical Inference
• Regression Analysis
• Multivariate Analysis
• Statistical Modeling
• Time Series Analysis
• Econometrics

Research Interest :

• Probability
• Stochastic Process
• Applied Statistics

Publications:

Journals

1. Khetan, M., Kumar, V., Pradhan, K. C., Shaikh, M., & Arshad, M. (2024). Forecasting gold price and inflation for India and US: An analysis of ARIMA and Holt Winters models. Theoretical & Applied Economics, 31(2).
2. Arshad, M., Khetan, M., Kumar, V., & Pathak, A. K. (2022). Record-based transmuted generalized linear exponential distribution with increasing, decreasing and bathtub shaped failure rates. Communications in Statistics - Simulation and Computation, 53(7), 3489–3513
3. Kataria, K. K., Vellaisamy, P., & Kumar, V. (2022). A probabilistic interpretation of the Bell polynomials. Stochastic Analysis and Applications, 40(4), 610-622.
4. Vellaisamy, P., & Kumar, V. (2022). Probabilistic interpretations of nonclassic Adomian polynomials. Stochastic Analysis and Applications, 40(5), 931-950.
5. Chesneau, C., Kumar, V., Khetan, M., & Arshad, M. (2022). On a modified weighted exponential distribution with applications. Mathematical and Computational Applications, 27(1), 17.
6. Kumar V., & Vellaisamy P (2018). Three different derivations of the Poisson process. Mathematics Newsletter, 29(1), 24-28.

Book Chapters:

Book: Distribution Theory: Principles and Applications. ISBN: 9781774912140, (Edited Book) Apple Academic Press, co-publishing with CRC Press, Taylor & Francis. Editors: Fozia Homa, Mukti Khetan, Mohd. Arshad, Pradeep Mishra.

1. Kumar, V., Khetan, M., Arshad, M., & Dixit S. Random Variables and Their Properties (2023).
2. Khetan, M., Kumar, V., Arshad, M., & Verma P. Discrete Distributions (2023).
3. Arshad, M., Kumar, V., Khetan, M., & Homa F. Family of Weibull Distributions (2023).
4. Homa F., Arshad, M., Kumar, V., Thakur, S., & Mishra P. Descriptive Statistics: Principles and Applications (2023).
5. Arshad, M., Kumar, V., Khetan, M., & Homa F. Life Distributions (2023).

Academic Accomplishments:

• Got selected for National Board for Higher Mathematics (NBHM) Postdoctoral Fellowship, 2023(II).
• Achieved All India Rank 72 in GATE (Statistics) 2020.
• Achieved All India Rank 67 in GATE (Statistics) 2019.
• Achieved All India Rank 325 in GATE (Mathematics) 2020.
• Achieved All India Rank 85 in IIT JAM Statistics 2011.
• Achieved All India Rank 90 in IIT JAM Statistics 2009.

Academic Activities:

• Participated in the Workshop on Quantile Regression organized by International Indian Statistical Association (IISA), IIT Bombay, 2019.
• Participated in the R-Conference organized by International Indian Statistical Association (IISA), IIT Bombay, 2019.
• Participated in the “IFCAM Summer School Workshop on Mathematics for Data Science” organized by IISc Bangalore, 2019.