I have worked in the areas mentioned below:

Reliability Theory/ Theory of Stochastic Orders and Applications:

In the field of reliability engineering and survival analysis studying the reliability characteristics of coherent systems play an
important role. To enhance the reliability characteristics of a system, redundant (spares) components are provided to its
components. In reliability theory and its applications the problem of where and how to allocate these redundant components is
considered in order to optimize the lifetime or reliability notions of the system. We have used the theory of stochastic orders in
order to study the reliability notions of some important models in Reliability Theory. In this area we published many research papers in reputed journals.

Goodness of Fit tests for survival data:

In the fields of life sciences and reliability studies, where investigations
are conducted with great accuracy, the adverse outcomes resulting from incorrect distributional
assumptions are accompanied by significant implications. Hence considerable discussion in the
literature by many different authors has focused on goodness-of-fit of distributions. Therefore
the statistical tests for goodness-of-fit are useful due to its real-life applications. In this area
our papers has been published in journal Mathematica Slovaca and some papers are under review.

Study of Information measures:

We study various extropy and entropy measures to characterize symmetric
and characterize various distributions, and to construct statistical tests. We introduces new measures
and estimators, applies them to ranked set sampling and simple random sampling
, and examines their properties and stochastic orders. We also proposes
new tests for symmetry, uniformity and exponentiality etc., demonstrating their applicability through real data
analysis and simulation studies. In this area
our papers has been published in journal Mathematica Slovaca, Statistics, Statistical Papers etc. and some papers are under review.

All Publications

Optimal allocation of active spares in series systems and comparison of component and system redundancies by N. Misra I.D. Dhariyal N. Gupta Journal of Applied Probability 46 19-34 (2009)
A study on utilization of two cold standby components to increase reliability of a coherent system by Roy A., Gupta N. Communications in Statistics - Theory and Methods - (2024)
On general weighted extropy of ranked set sampling by Gupta N., Chaudhary S.K. Communications in Statistics - Theory and Methods - (2023)
Some characterizations of continuous symmetric distributions based on extropy of record values by Gupta N., Chaudhary S.K. Statistical Papers - (2023)
On general weighted cumulative residual extropy and general weighted negative cumulative extropy by Chaudhary S. K., Gupta N. , Sahu P. K. Statistics 1-25 (2023)
Reliability of a coherent system equipped with two cold standby components by Roy A., Gupta N. Metrika 83 677-697 (2020)
Stochastic comparisons of residual life times and inactivity times of coherent systems with dependent identically distributed components by Nitin Gupta, N. Misra and S. Kumar European Journal of Operational Research 240 425-430 (2015)
Stochastic comparisons of multivariate reversed frailty model by Bansal S., Gupta N. Statistica Neerlandica 73 496-513 (2019)

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