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Dr. Amit Kumar

Assistant Professor
Department of Mathematical Sciences, IIT(BHU)
Phone No(s): +91-9962875910
Email: amit.mat@itbhu.ac.in
Area of Interest: Applied Probability
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Current Position:

  • Assistant Professor, Department of Mathematical Sciences, IIT (BHU) Varanasi: November, 2022 - Present.

Former Positions:

  • Visiting Assistant Professor, Department of Mathematical Sciences, IIT (BHU) Varanasi: April, 2021 - November, 2022.
  • Postdoctoral Fellow, Department of Mathematics, IIT Bombay: December, 2018 - January, 2021.
  • Ad-hoc Faculty, Department of Mathematics, NIT Calicut: July, 2018 - December, 2018.
  • Postdoctoral Fellow, Department of Mathematics, IIT Madras: December, 2017 - May, 2018.

Education:

  • Ph.D.: IIT Madras (Thesis Advisor: Dr. Neelesh S. Upadhye).
  • M.Sc.: IIT Madras.
  • B.Sc.: University of Delhi.
  • Kumar, A. N. and Kumar, P., A Negative Binomial Approximation to the Distribution of the Sum of Maxima of Indicator Random Variables, Statist. Probab. Lett., 208, 110040, 2024.
  • Kumar, A. N., Bounds on negative binomial approximation to call function, Revstat Stat. J., 22(1), 25-43, 2024.
  • Kumar, A. N. and Vellaisamy, P., Binomial approximation to locally dependent collateralized debt obligations, Methodol. Comput. Appl. Probab., 25, Article: 81, 2023.
  • Kumar, A. N., Upadhye, N. S., and Vellaisamy P., Approximations related to sum of m-dependent random variables, Braz. J. Probab. Stat., 36(2), 349-368, 2022.
  • Kumar, A. N., Vellaisamy, P., and Viens, F., Poisson approximation to the convolution of power series distributions, Probab. Math. Statist., 42(1), 63-80, 2022.
  • Kumar, A. N. and Upadhye, N. S., On discrete Gibbs measure approximation to runs, Comm. Statist. Theory Methods, 51(5), 1488-1513, 2022.
  • Kumar, A. N., Approximations to the weighted sums of random variables, Bull. Malaysian Math. Sci. Soc., 44(4), 2447–2464, 2021.
  • Kumar, A. N. and Upadhye, N. S., Generalizations of distributions related to (k1,k2)-runs, Metrika, 82(2), 249-268, 2019.
  • Upadhye, N. S. and Kumar, A. N., Pseudo-binomial approximation to (k1,k2)-runs, Statist. Probab. Lett., 141, 19-30, 2018.
  • Kumar, A. N. and Upadhye, N. S., On perturbations of Stein operator, Comm. Statist. Theory Methods, 46(18), 9284-9302, 2017.

Courses Taught at IIT (BHU) Varanasi:

  • MA-101: Engineering Mathematics I
  • MA-102: Engineering Mathematics II
  • MA-202: Probability & Statistics
  • MA-203: Mathematical Methods

 

Seminars and Talks:

  • Invited talks on "Distribution of order k" at a workshop on Mathematical Analysis, Applied Probability and Astrophysics (WMAAPA-2023) organized by Calcutta Mathematical Society (online mode) during September 9-15, 2023.
  • Invited talk on "Pseudo-binomial approximation to (k1,k2)-runs" at the 12th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2019) held at the University of London, UK during December 14-16, 2019.
  • Delivered a talk on "Pseudo-binomial approximation to (1,1)-runs" at the International Conference on Computational Physics, Mathematics and its Applications (ICCPMA 2016), held in Tokyo, Japan during November 7-8, 2016.

Workshops Attended:

  • One day workshop on "Mathematics and its Engineering Applications" held at NIT Calicut, India, on October 26, 2018.
  • Workshop on "ATMW Applied Probability (2016)" held at IIT Bombay, India, during January 4-8, 2015.

Ph.D. Students:      

SI. No. Name of Students Thesis Title Status (Awarded/Submitted/Ongoing)
1. Poleen Kumar TBD Ongoing
2. Savita Chaturvedi TBD Ongoing

 

IDD Students:

SI. No. Name of Students Thesis Title Year of Completion
1. Ayush Singh TBD Ongoing
2. Anshu Kumar Jha TBD Ongoing

 

  • Member, Senate IIT (BHU) (Apr 2023 - present)
  • Incharge, Department Timetable Committee (Aug 2023 - present)
  • Member, DUGC (Aug 2023 - present)
  • Member, Department Space Committee (Aug 2023 - present)