Myself and my research group studied different research areas. These may be may be divided into three parts:
Studying of Reliability properties:
We had studied the reliability properties of a k-out-of-n system equipped with cold standby components. Also the reliability of a coherent system equipped with cold standby components. Our papers has been published in some of the well known journals such as Communication in Statistics-Theory and Method, Metrika etc. My research plan is to explore this area further.
Stochastic Aging and ordering:
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. Our papers has been published in some of the well known journals such as Communication in Statistics-Theory and Method, Journal of Applied Probability, Statistics and Probability Letters, Journal of Statistical Planning and Inference, Metrika, Statistica Neerlandica, Operations Research Letters, European Journal of Operational Research. My research plan is to explore this area further.
Entropy and Extropy.
In addition to these areas I will explore Stochastic Processes, Stochastic Processes in Finance, Queuing theory, Renewal Theroy and related area in next five years.
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On general weighted cumulative residual extropy and general weighted negative cumulative extropy Chaudhary S. K., Gupta N. , Sahu P. K. By Statistics 1-25 (2023)
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Stochastic Properties of Residual Life and Inactivity Time at a Random Time N. Misra N. Gupta I.D. Dhariyal By Stochastic Models 24(1) 89-102 (2008)
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On General Weighted Extropy of Ranked Set Sampling Gupta N., Chaudhary S. K. By Communications in Statistics-Theory and Methods 1-14 (2023)
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Some characterizations of continuous symmetric distributions based on extropy of record values Gupta N., Chaudhary S. K. By Statistical Papers 1-18 (2023)
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Stochastic comparison for extreme order statistics arising from PHR, PRHR or location model Datta M., Gupta N. By Revstat-Statistical Journal 1-28 (2022)
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Weighted extropies and past extropy of order statistics and k-record values Bansal S., Gupta N. By Communications in Statistics - Theory and Methods 1-18 (2021)
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Reliability function of k-out-of-n system equipped with two cold standby components Roy A., Gupta N. By Communication in Statistics- Theory and Methods 1-20 (2020)
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Reliability of a coherent system equipped with two cold standby components Roy A., Gupta N. By Metrika 83 677-697 (2020)
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Stochastic comparisons of residual life times and inactivity times of coherent systems with dependent identically distributed components Nitin Gupta, N. Misra and S. Kumar By European Journal of Operational Research 240 425-430 (2015)
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Stochastic Comparisons of Multivariate Frailty Models N. Misra N. Gupta R.D. Gupta By Journal of Statistical Planning and Inference 139 2084-2090 (2009)
- Co-Principal Investigator
Ph. D. Students
Gaurav Kandpal
Area of Research: Probability and Statistics
Pradeep Kumar Sahu
Area of Research: Reliability Theory
Santosh Kumar Chaudhary
Area of Research: Decision Theory
Sarikul Islam
Area of Research: Probability and Statistics
