Research Interests

• Statistical Quality and Process Control.    

• Time Series

• Data Science

• Machine Learning

• Dynamic Process Monitoring

PhD Supervision

Amita Baranwal (2019)

Phase II Monitoring of High-yield Processes through Time Between Events Control Charts

Awarded by Banaras Hindu University

Ranjeet Kumar Singh (2021)

Statistical Monitoring of High-yield Processes using Cumulative Count of Conforming Items

Awarded by Banaras Hindu University

Tribhuvan Singh (2022)

Design and Implementation of Runs and Scans Rules in Statistical Process Monitoring

Sonam Jaiswal (2023)

Design and Implementation of dispersion charts with estimated control limits 

REFEREEING

• Reviewer for  Computational Statistics and Data Analysis, Computers and Industrial Engineering, International Journal of Production Research,  Journal of Applied Statistics, Journal of Quality Technology, Journal of Statistical Computation and Simulation, Quality Technology and Quantitative Management, Quality and Reliability Engineering International, Communications in Statistics - Simulation and Computation, Communications in Statistics - Theory and Methods, Computational Statistics.

Research Papers

1.  Nirpeksh Kumar and Subha Chakraborti (2025) ARL-unbiased exponential control charts with estimated parameters: Statistical design and implementation, Quality and Reliability Engineering International, Wiley, 00 (0). https://doi.org/10.1002/qre.3790.

2. Tribhuvan Singh and Nirpeksh Kumar (2025)  Improving the Xbar-control chart: A novel scheme based on runs and scans rules, Comupters and Industrial Engineering, Elsevier, 2000 https://doi.org/10.1016/j.cie.2024.110852.

3. Amita Baranwal, Nirpeksh Kumar, Kashinath Chatterjee and Christos Koukouvinos (2024)  A new EWMA chart for simultaneously monitoring the parameters of a shifted exponential distribution, Journal of Applied Statistics, Taylor & Francis, doi.org/10.1080/02664763.2024.2363404.

4. Nirpeksh Kumar and Sonam Jaiswal (2023) The design of two-sided S^2-chart with estimated in-control process variance based on conditional median run length, Quality Technology & Quantitative Management, Taylor & Francis, doi.org/10.1080/16843703.2023.2255046.

5. Subha Chakraborti, Nirpeksh Kumar, AC Rakitzis and Ross Spark (2023) Time between events monitoring with control charts, Wiley StatsRef: Statistics Reference Online, https://doi.org/10.1002/9781118445112.stat08409.

6. Nirpeksh Kumar, Subha Chakraborti, AC Rakitzis, Tribhuvan Singh (2022) Statistical Design of ATS-unbiased Charts with Runs Rules for Monitoring Exponential Times Between Events, Communications in Statistics - Theory and Methods, Taylor & Francis, https://doi.org/10.1080/03610926.2022.2092143.

7. Nirpeksh Kumar, Subha Chakraborti, Philippe Castagliola (2022) Phase II Exponential Charts for Monitoring Time Between Events Data: Performance Analysis Using Exact Conditional Average Time to Signal Distribution, Journal of Statistical Computation and Simulation, Taylor & Francis. doi.org/10.1080/00949655.2021.1998501.

8. Nirpeksh Kumar (2022) Statistical design of phase II exponential chart with estimated parameters under the unconditional and conditional perspectives using exact distribution of median run length. Quality Technology & Quantitative Management, Taylor & Francis, https://doi.org/10.1080/16843703.2021.1972515.

9. Nirpeksh Kumar, Ranjeet Kumar Singh (2022)  Design and Implementation of ARL-unbiased CCCr-chart for Monitoring High-yield Processes. International Journal of Quality Engineering and Technology, 8 (4), 351-365. https://doi.org/10.1504/IJQET.2022.123492.

10. Aaradhana Srivastava, Anoop Chaturvedi, Nirpeksh Kumar (2021)  Finite sample performance of an estimator of process capability index C_pm for the autocorrelated data. Communications in Statistics: Simulation and Computation, Taylor & Francis. https://doi.org/10.1080/03610918.2021.1962344.

11. Tribhuvan Singh, Nirpeksh Kumar (2021) Improved phase II exponential chart under repetitive sampling. International Journal of Agricultural and Statistics Sciences, Scopus, https://connectjournals.com/03899.2022.18.9.

12. Nirpeksh Kumar and Sonam Jaiswal (2020) Use of Median Based Estimator to Construct Phase II Exponential Chart.  Quality and Reliability Engineering International, Wiley, 36 (6), 2044-2056. https://doi.org/10.1002/qre.2672

13.  Nirpeksh Kumar (2020) Conditional analysis of Phase II exponential chart for monitoring times to an event. Quality Technology & Quantitative Management, Taylor & Francis, 17(3), 285-306. https://www.tandfonline.com/doi/abs/10.1080/16843703.2019.1613772?journalCode=ttqm20

14. Nirpeksh Kumar, Ranjeet Kumar Singh (2020)  A comparative study of ANI- and ARL-unbiased geometric and CCC_G control charts. Sequential Analysis, Taylor & Francis, 39 (3), 399-416. https://doi.org/10.1080/07474946.2020.1823194

15. Nirpeksh Kumar, Amita Baranwal, Subha Chkaraborti (2020) Shewhart-type Phase II Control Charts for Monitoring Times to an Event with a Guaranteed In-Control and Good Out-of-Control Performance. Quality and Reliability Engineering International, Wiley, 36 (1), 231-246. https://doi.org/10.1002/qre.2568

16. Nirpeksh Kumar, Amita Baranwal (2019) Design and implementation of q th quantile-unbiased t r -chart for monitoring times between events. Quality and Reliability Engineering International, Wiley, 35 (4), 1061-1080. https://onlinelibrary.wiley.com/doi/abs/10.1002/qre.2445

17. Nirpeksh Kumar (2019) Exact distributions of tests of outliers for exponential samples. Statistical Papers, Springer, 60, 2031-2061. https://link.springer.com/article/10.1007%2Fs00362-017-0908-6

18. Nirpeksh Kumar, Ranjeet Kumar Singh (2019) Sensitivity of Shewhart-type tr-chart to the departure from assumed exponential distribution. International Journal of Agricultural and Statistics Sciences, Scopus, 15(1), 1-9. https://www.connectjournals.com/achivestoc2.php?fulltext=2978201H_1-9.pdf&&bookmark=CJ-033252&&issue_id=01&&yaer=2019

19. Nirpeksh Kumar, Amita Baranwal (2018) Test for Discordancy of suspected observations in a Rayleigh Sample. International Journal of Agricultural and Statistics Sciences, Scopus, 14(2), 755-764. 

20. Nirpeksh Kumar, Subha Chakraborti (2017) Bayesian monitoring of times between events: The shewhart t_r-chart. Journal of Quality Technology, American Society for Quality, 49(2), 136-154. https://www.tandfonline.com/doi/abs/10.1080/00224065.2017.11917985

21. Nirpeksh Kumar, Chien-Tai Lin (2017) Testing for multiple upper and lower outliers in an exponential sample. Journal of Statistical Computation and Simulation, Taylor & Francis, 87(5), 870-881. https://www.tandfonline.com/doi/abs/10.1080/00949655.2016.1232723?journalCode=gscs20

22.  Nirpeksh Kumar, Subha Chakraborti, AC Rakitzis (2017) Improved shewhart-Type charts for monitoring times between events. Journal of Quality Technology, American Society for Quality, 49(3), 278-296. https://www.tandfonline.com/doi/abs/10.1080/00224065.2017.11917995

23. Nirpeksh Kumar, Subha Chakraborti (2016) Phase II Shewhart-type Control Charts for Monitoring Times Between Events and Effects of Parameter Estimation. Quality and Reliability Engineering International, Wiley, 32(1), 315-328. https://onlinelibrary.wiley.com/doi/abs/10.1002/qre.1752

24. Nirpeksh Kumar, Raman Pant, Sanjeev Tomer (2016) Testing of outliers in samples from a subfamily of one-parameter exponential family. International Journal of Agricultural and Statistics Sciences, 12 (1), 67-72. https://www.connectjournals.com/toc2.php?abstract=2495401H_67-72a.pdf&&bookmark=CJ-033252&&issue_id=01&&yaer=2016 

25. Nirpeksh Kumar (2015) Testing of Suspected Observations in an Exponential Sample with Unknown Origin. Communications in Statistics - Theory and Methods, Taylor & Francis, 44(17), 3368-3679. https://www.tandfonline.com/doi/abs/10.1080/03610926.2013.847100?journalCode=lsta20

26. Nirpeksh Kumar, Subha Chakraborti (2015) Improved Phase I Control Charts for Monitoring Times Between Events. Quality and Reliability Engineering International, Wiley, 31(4), 659-668. https://onlinelibrary.wiley.com/resolve/doi?DOI=10.1002/qre.1623

27. Nirpeksh Kumar (2013) A procedure for testing suspected observations. Statistical Papers, Springer, 54(2), 471-478. https://link.springer.com/article/10.1007%2Fs00362-012-0444-3

28. Nirpeksh Kumar (2013)  Test for multiple upper outliers in an exponential sample irrespective of origin. Statistics, Taylor & Francis, 47(1), 184-190. https://www.tandfonline.com/doi/abs/10.1080/02331888.2011.581758

29. S. Lalitha, Nirpeksh Kumar (2012) Multiple outlier test for upper outliers in an exponential sample. Journal of Applied Statistics, Taylor & Francis, 39(6), 1323-1330. https://doi.org/10.1080/02664763.2011.645158

30.  Nirpeksh Kumar, S. Lalitha (2012) Testing for upper outliers in gamma sample. Communications in Statistics - Theory and Methods, Taylor & Francis, 41(5), 820-828. https://doi.org/10.1080/03610926.2010.531366

31.  S. Lalitha, Nirpeksh Kumar (2012) Testing for Multiple Outliers in a Linear Model. In Some Recent Developments in Statistical Theory and Applications: Selected Proceedings of the International Conference on Recent Developments in Statistics, Econometrics and Forecasting, University of Allahabad,  Allahabad, December 27-28, 2010. https://books.google.co.in/books?hl=en&lr=&id=VHC565H5vGwC&oi=fnd&pg=PA82&ots=EzaxAR1GJ7&sig=f8VEr-y67_IyMeSgatkUn0Qk9d4#v=onepage&q&f=false

32.  Nirpeksh Kumar (2012)  Distribution of Test Statistic for Testing Upper Outliers in an Exponential Sample under Slippage Alternative. In Emerging Applications of Bayesian statistics and stochastic modelling. 121-126.