Research Interests:

     Reliability Theory, Applied Probability, Information Theory, Time Series Analysis

Ongoing Research Projects:

• Some Important Problems on Information Measures (funded by SERB, MATRICS Scheme, Rs: 660000)

• Towards More Realistic $\delta$-Shock Models and Their Applications (funded by SERB, SRG Scheme,  Rs. 1389344)

Publications:

1.  Sahoo, T., Hazra, N. K., and Balakrishnan, N. (2024). On multivariate orderings of some general ordered random vectors. Journal of Computational and Applied Mathematics, 451, 116101.

2. Sahoo, T. and Hazra, N.K. (2024). On optimal allocation of redundancies in random weighted k-out-of-n systems. Applied Stochastic Models in Business and Industry, doi: 10.1002/asmb.2875.

3. Sahoo, T., Hazra, N. K., and Balakrishnan, N. (2024). Multivariate stochastic comparisons of sequential order statistics with non-identical components. Statistical Papers, doi: 10.1007/s00362-024-01558-w.

4. Goyal, D., Ali, R. and Hazra, N.K. (2024). Reliability analysis of δ-shock models based on the Markovian arrival process. Applied Stochastic Models in Business and Industry, doi: 10.1002/asmb.2858.

5. Goyal, D., Hazra, N.K. and Finkelstein, M. (2024). On Survival of Coherent Systems Subject to Random Shocks. Methodology and Computing in Applied Probability, 26, Article No. 6.

6. Sahoo, T. and Hazra, N. K. (2023). Ordering and ageing properties of developed sequential order statistics governed by the Archimedean copula. Advances in Applied Probability, 1- 31, doi:10.1017/apr.2023.25.

7. Goyal, D., Hazra N.K. and Finkelstein, M. (2023). A general class of shock models with dependent interarrival times. TEST, doi: 10.1007/s11749-023-00867-w

8. Panja, A., Kundu, P., Hazra, N.K., and Pradhan, B. (2023). Stochastic comparisons of largest claim and aggregate claim amounts.  Probability in the Engineering and Informational Sciences, doi: 10.1017/S0269964823000104

9. Goyal, D., Hazra, N.K. and Finkelstein, M. (2023). Shock models based on renewal processes with matrix Mittag-Leffler distributed inter-arrival times. Journal of Computational and Applied Mathematics, doi: 10.1016/j.cam.2023.115090

10. Sahoo, T. and Hazra, N.K. (2023). Ordering and aging properties of systems with dependent components governed by the Archimedean copula.  Probability in the Engineering and Informational Sciences, 37, 1-28

11. Goyal, D., Hazra N.K. and Finkelstein, M. (2022). On Properties of the Phase‑type Mixed Poisson Process and its Applications to Reliability Shock Modeling. Methodology and Computing in Applied Probability, 24, 2933-2960

12. Hazra, N.K., Barmalzan, G., and Hosseinzadeh, A.A. (2022). Ordering properties of the second smallest and the second largest order statistics from a general semiparametric family of distributions. Communications in Statistics-Theory & Methods, DOI: 10.1080/03610926.2022.2077964

13. Goyal, D., Hazra N.K. and Finkelstein, M. (2022). On the general delta-shock model. TEST, 31, 994-1029.

14. Hazra, N.K., Finkelstein, M., and Cha, J.H. (2022). On a hazard (failure) rate process with delays after shocks. Statistics and Probability Letters, 181, 109276.

15. Goyal, D., Finkelstein, M. and Hazra, N.K. (2021). On history-dependent mixed shock models.  Probability in the Engineering and Informational Sciences, DOI: 10.1017/S0269964821000255 

16. Goyal, D., Hazra N.K. and Finkelstein, M. (2021). On the time-dependent delta shock model governed by the generalized Polya process. Methodology and Computing in Applied Probability, DOI: 10.1007/s11009-021-09880-8 

17. Finkelstein, M. and Hazra, N.K. (2021). Generalization of the pairwise stochastic precedence order to the sequence of random variables. Probability in the Engineering and Informational Sciences, 35(3), 699-707

18. Hazra, N.K. and Misra, N. (2021). On relative ageing comparisons of coherent systems with identically distributed components. Probability in the Engineering and Informational Sciences, 35(3), 481-495

19. Kuiti, M.R., Hazra, N.K. and Finkelstein, M. (2020). A note on the stochastic precedence order between component redundancy and system redundancy for k-out-of-n systems. Communications in Statistics-Theory and Methods, DOI: 10.1080/03610926.2020.1831539.

20. Hazra, N.K. and Misra, N. (2020). On relative ageing of coherent systems with dependent identically distributed components. Advances in Applied Probability, 52, 348-376.

21. Kundu, P., Hazra, N.K. and Nanda, A.K. (2020). Reliability study of series and parallel systems of heterogeneous component lifetimes following proportional odds model. Statistics, 54(2), 375-401

22. Hazra, N.K. and Finkelstein, M. (2019). Comparing lifetimes of coherent systems with dependent components operating in random environments.  Journal of Applied Probability, 56, 937-957.

23. Hazra, N.K., Kundu, P., Nanda, A.K. (2019). Some reliability properties of Transformed-Transformer family of distributions. American Journal of Mathematical and Management Sciences, 38, 44-56.

24. Finkelstein, M., Hazra, N.K., and Cha, J.H. (2018). On optimal operational sequence of components in a warm standby system. Journal of Applied Probability, 55, 1014-1024.

25. Hazra, N.K. and Finkelstein, M. (2018). On stochastic comparisons of finite mixtures for some semiparametric families of distributions. TEST, 27, 988-1006.

26. Hazra, N.K., Kuiti, M.R., Finkelstein, M., and Nanda, A.K. (2018). On stochastic comparisons of minimum order statistics from the Location-Scale family of distributions. Metrika, 81, 105-123

27. Hazra, N.K., Finkelstein, M., and Cha, J.H. (2018). Stochastic ordering for populations of Manufactured items. TEST, 27, 173-196.

28. Hazra, N.K., Finkelstein, M., and Cha, J.H. (2017). On optimal grouping and stochastic comparisons for heterogeneous items. Journal of Multivariate Analysis, 160, 146-156.

29. Hazra, N.K., Kuiti, M.R., Finkelstein, M., and Nanda, A.K. (2017). On stochastic comparisons of maximum order statistics from the Location-Scale family of distributions. Journal of Multivariate Analysis, 160, 31-41. 

30. Finkelstein, M. and Hazra, N.K. (2017). On stochastic comparisons for load-sharing series and parallel systems. Probability in the Engineering and Informational Sciences, 31(3), 311-329. 

31. Hazra, N.K. and Nanda, A.K. (2017). General standby allocation in series and parallel systems. Communications in Statistics-Theory and Methods, 46, 9842-9858.

32. Nanda, A.K., Hazra, N.K., Al-Mutairi, D.K., and Ghitany, M.E. (2017). On some generalized ageing orderings. Communications in Statistics-Theory and Methods, 46(11), 5273-5291. 

33. Kundu, A., Chowdhury, S., Nanda, A.K., and Hazra, N.K. (2016). Some results on majorization and their applications. Journal of Computational and Applied Mathematics, 301, 161-177. 

34. Kundu, P., Hazra, N.K., and Nanda, A.K. (2016). Reliability study of a coherent system with single general standby component. Statistics and Probability Letters, 110, 25-33. 

35. Hazra, N.K. and Nanda, A.K. (2016). On some generalized orderings: In the spirit of relative ageing. Communications in Statistics-Theory and Methods, 45(20), 6165-6181.

36. Hazra, N.K. and Nanda, A.K. (2016). Stochastic comparisons between used systems and systems made by used components. IEEE Transactions on Reliability, 65(2), 751-762. 

37. Hazra, N.K. and Nanda, A.K. (2015). A note on warm standby system. Statistics and Probability Letters, 106, 30-38. 

38. Hazra, N.K. and Nanda, A.K. (2014). Components redundancy versus system redundancy in different stochastic orderings. IEEE Transactions on Reliability, 63(2), 567-582. 

39. Hazra, N.K., Nanda, A.K., and Shaked, M. (2014). Some ageing properties of parallel and series systems with a random number of components. Naval Research Logistics, 61(3), 238-243. 

40. Hazra, N.K. and Nanda, A.K. (2014). Some results on series and parallel systems of randomized components. Operations Research Letters, 42(2), 132-136. 

41. Nanda, A.K. and Hazra, N.K. (2013). Some results on active redundancy at component level versus system level. Operations Research Letters, 41, 241-245.

Editorial Works:

• Associate Editor, OPSEARCH, Springer (Jan, 2021-till date)

• Associate Editor, Communications in Statistics-Theory and Methods/Simulation and Computation/Case Studies and Data Analysis, Taylor & Francis (July 4, 2023-till date)

• Regular reviewer for Mathematical Reviews of American Mathematical Society

• Served as a referee for the following journals:

           (a) IEEE Transactions on Reliability

         (b) Statistics & Probability Letters

         (c) Communications in Statistics - Theory and Methods

         (d) Dependence Modeling

         (e) Applied Stochastic Models in Business and Industry

         (f) Metrika

         (g) Operations Research Letters

         (h) Statistics

         (i) Journal of Applied Probability

         (j) Journal of Multivariate Ananlysis

         (k) Naval Research Logistics

         (l) Methodology and Computing in Applied Probability

        (m) Journal of Risk Analysis