Dr. Ashok Kumar Pathak

Contact Info
Ashok Kumar Pathak
09076307125
Central University of Punjab Bathinda
Ashok Kumar Pathak

Assistant Professor
Department of Mathematics and Statistics
School of Basic and Applied Sciences

Qualification

CSIR-UGC-NET (JRF), GATE

Ph.D. Indian Institute of Technology Bombay

Experience
Teaching Experience: 8 Years
Research Experience: 12 Years
 

 

Research Area

Regression Analysis, Copulas, Dependence Modeling, Statistical Inference, Applied Probability, Fractional Calculus

Research Interests

Applied Probability, Statistics

Research Grants/Projects
  1. Mathematical Research Impact Centric Support (MATRICS) Grant
  • Duration: 2023-2026
  • Funding Agency: Science and Engineering Research Board (SERB), Department of Science & Technology, Government of India.
  • Project Grant: 6.6 Lacs

      2. Research Seed Money (RSM) Grant

  • Duration: 2017-2019
  • Funding Agency: Central University of Punjab, Bathinda
  • Project Grant: 3 Lacs

      

Professional Recognition/Awards/Scholarships

Dec 2016

DST travel grant for the 10th ICSA International Conference Shanghai, China

Aug 2010

Travel grant for International Congress of Mathematicians, Hyderabad, India

2009

Qualified Graduate Aptitude Test in Engineering (GATE) in Mathematics

2008

Qualified CSIR-UGC NET (JRF) in Mathematical Sciences
Research Collaboration
  • Prof. P. Vellaisamy
  • Dr. Mohd. Arshad
  • Ms. Sherry Mangla
Publications

Publications:

  1. Soni, R., Pathak, A. K., Di Crescenzo, A., & Meoli, A. (2024). Bivariate Tempered Space-Fractional Poisson Process and Shock Models. To appear in the Journal of Applied Probability.

  2. Soni, R., Pathak, A. K., ,& Vellaisamy, P. (2024). A probabilistic extension of the Fubini polynomials. To appear in the  Bulletin of the Malaysian Mathematical Sciences Society.

  3. Soni, R., & Pathak, A. K. (2024). Generalized fractional negative binomial process. Statistics & Probability Letters, 207, 110021. 

  4. Zachariah, S. G., Arshad, M., & Pathak, A. K. (2024). A new class of copulas having dependence range larger than FGM-type copulas. Statistics & Probability Letters, 206, 109988. 

  5. Soni, R., Vellaisamy, P., & Pathak, A. K. (2024). A probabilistic generalization of the Bell polynomials. The Journal of Analysis, 32, 711-732. 

  6. Sharma, V. K., Singh, S. V., & Pathak, A. K. (2024). A Bivariate Teissier Distribution: Properties, Bayes Estimation and Application. Sankhya A, 86, 67-92. 

  7. Zachariah, S. G., Arshad, M., & Pathak, A. K. (2024). A new family of copulas based on probability generating functions. To appear in Mathematica Slovaca. 

  8. Arshad, M., Pathak, A. K., Azhad, Q. J., & Khetan, M. (2023). Modeling bivariate data using linear exponential and Weibull distributions as marginals. Mathematica Slovaca, 73(4): 1075–1096. 

  9. Pathak, A. K., Arshad, M., J. Azhad, Q., Khetan, M., & Pandey, A. (2023). A novel bivariate generalized Weibull distribution with properties and applications. American Journal of Mathematical and Management Sciences,  42,  279-306.

  10. Arshad, M., J. Azhad, Q., Gupta, N., & Pathak, A. K. (2023). Bayesian inference of unit Gompertz distribution based on dual generalized order statistics. Communications in Statistics-Simulation and Computation, 52(8):3657–3675.

  11. Annan, E., Nguyen, U. S. D., Treviño, J., Wan Yaacob, W. F., Mangla, S., Pathak, A. K., ... & Haque, U. (2023). Moderation effects of serotype on dengue severity across pregnancy status in Mexico. BMC Infectious Diseases, 23(1), Article No.147.  

  12. Pathak, A. K., & Vellaisamy, P. (2022). A bivariate generalized linear exponential distribution: properties and estimation. Communications in Statistics-Simulation and Computation, 51(9), 5426-5446. 

  13. 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. To appear in Communications in Statistics-Simulation and Computation. 

  14. Abulebda, M., Pathak, A. K., Pandey, A., & Tyagi, S. (2022). On a Bivariate XGamma Distribution Derived from Copula. Statistica, 82(1), 15-40. 

  15. Pathak, A. K., & Arshad, M. (2022). Discussion on a new extension of the FGM copula with application in reliability. arXiv preprint arXiv:2203.11681. 

  16. Arshad, M., Abdalghani, O., Meena, K. R., & Pathak, A. K. (2022). Estimation after selection from bivariate normal population with application to poultry feeds data. Hacettepe Journal of Mathematics and Statistics, 51(4), 1141-1159. 

  17. Mangla, S., Zohra Makkia, F. T., Pathak, A. K., Robinson, R., Sultana, N., Koonisetty, K. S., ... & Haque, U. (2021). COVID-19 vaccine hesitancy and emerging variants: evidence from six countries. Behavioral Sciences, 11(11), 148. 

  18. Mangla, S., Pathak, A. K., Arshad, M., & Haque, U. (2021). Short-term forecasting of the COVID-19 outbreak in India. International health, 13(5), 410-420. 

  19. Mangla, S., Pathak, A. K., Arshad, M., Ghosh, D., Sahoo, P. K., Garg, V. K., & Haque, U. (2021). Impact of environmental indicators on the COVID-19 pandemic in Delhi, India. Pathogens, 10(8), 1003. 

  20. Sahoo, P. K., Chauhan, A. K., Mangla, S., Pathak, A. K., & Garg, V. K. (2021). COVID-19 pandemic: An outlook on its impact on air quality and its association with environmental variables in major cities of Punjab and Chandigarh, India. Environmental Forensics, 22(1-2), 143-154. 

  21. Sahoo, P. K., Mangla, S., Pathak, A. K., Salãmao, G. N., & Sarkar, D. (2021). Pre-to-post lockdown impact on air quality and the role of environmental factors in spreading the COVID-19 cases-a study from a worst-hit state of India. International journal of biometeorology, 65, 205-222. 

  22. Pathak, A. K. (2018). A simple probabilistic proof for the alternating convolution of the central binomial coefficients. The American Statistician, 72(3), 287-288. 

  23. Pathak, A. K., & Vellaisamy, P. (2016). Various measures of dependence of a new asymmetric generalized Farlie–Gumbel–Morgenstern copulas. Communications in Statistics-Theory and Methods, 45(18), 5299-5317. 

  24. Pathak, A. K., & Vellaisamy, P. (2016). A note on generalized Farlie-Gumbel-Morgenstern copulas. Journal of Statistical Theory and Practice, 10, 40-58.

  25. Vellaisamy, P., & Pathak, A. K. (2014). Copulas and regression models. Journal of the Indian Statistics Association, 52, 113-134. 

Conference Papers/ Book Chapters:

  1. Dixit, S., Khetan, M., Arshad, M., Verma, P., & Pathak, A. K. (2023). Continuous distributions. In Distribution Theory (pp. 107-149). Apple Academic Press. 

  2. Pathak, A. K., Arshad, M., Bakshi, S., Khetan, M., and Mangla, S. (2023).  A new alpha power transformed Weibull distribution.  In G Families of Probability Distributions (pp. 302-315). CRC Press. 

  3. Kaur, S., Kumar, A., and Pathak, A. K. (2022). A new computational procedure for the solution of the time-fractional advection problem. In AIP Conference Proceedings, volume 2451. AIP Publishing.

  4. Abdalghani, O., Arshad, M., Meena, K., & Pathak, A. (2021). Adjusted Bias and Risk for Estimating Treatment Effect after Selection with an Application in Idiopathic Osteoporosis. Optimal Decision Making in Operations Research and Statistics: Methodologies and Applications, CRC Press. 

 

 

Research Guidance
  • Mr. Ritik Soni, Title: On Some Fractional Stochastic Processes (Ongoing)
  • Mr. Alam, Title: On Copula-Based Regression Estimation (Ongoing)
  • Ms. Shilpa (Ongoing)
Conference/ Workshops/Seminars Attended

 

July 2022

International Congress of Mathematicians, Virtual

July 2021

International Conference on Statistics and Related Fields (ICON STARF), University of Luxembourg

Dec 2020

Winter School on Mathematical Statistics, University of Luxembourg

Sep 2019

National Workshop on Environmental Management, CUP Bathinda, India

Feb 2019

Faculty Induction Programme, MHRD Sponsored, CUP Bathinda, India

Mar 2012

SAS Forum India 2012, Mumbai, India

Nov 2010

Workshop on Reliability Theory and Survival Analysis, IIT Bombay, India

Aug 2010

International Congress of Mathematicians, Hyderabad, India

 

Conference/ Workshops/Seminars Organised
  • Worked as a co-convener of One Week Workshop on Artificial Intelligence and Machine Learning organinzed by Department of Mathematics, Baba Farid College and Central University of Punjab, Bathinda, sponsored by CSIR during Nov. 15-21, 2022.
  • Worked as an organizing member of 27th  International Conference of International Academy of Physical Sciences (CONIAPS XXVII) on Recent Advances in Differential Geometry and Topology held at Department of Mathematics & Statistics, Central University of Punjab, Bathinda during Oct. 26-28, 2021.

 

Peer Recognition
  • Member, Board of Studies, Department of Mathematics and Statistics, Central University of Punjab.
  • Member, AAC, Department of Mathematics and Statistics, Central University of Punjab.
  • Member, CDC, Department of Mathematics and Statistics, Central University of Punjab.
  • Co-ordinator,  Certificate Course in Vedic Mathematics (CCVM), Department of Mathematics and Statistics, Central University of Punjab.
Invited Talks/ Resource Person
1. Invited talk on “Sampling Distribution” in the National Workshop held at the Central University of Punjab, Bathinda, during June 1-14, 2017.
2. Invited talk on “Large and Small Sample Tests” in the National Workshop held at the Central University of Punjab, Bathinda, during June 1-14, 2017.
3. Invited talk on “Introduction to Random Variables and Probability Distribution” in the National Workshop held at the Central University of Punjab, Bathinda, during June 27th May 2019-7th June 2019.
4. Invited talk on “Graphical Presentation of Data” in the National Workshop held at the Central University of Punjab, Bathinda, during June 27th May 2019-7th June 2019.
5. Invited talk on “Mathematical Foundation for Data Scientists ” in the National Conference held at the Central University of Punjab, Bathinda, during December 16-20, 2020.
6. Invited talk on "Basics of R-Programming" in One-Week Online International Workshop on ‘Data Science and Statistical Modelling: Harnessing Python and R Programming’, BFGS, CUPB, and NITJ, during 28 June 2023 to 4 July 2023.