Research Interests: My primary research interest lies in sequential analysis, with a focus on developing optimal and adaptive sequential procedures under various inferential constraints. I am particularly interested in the theoretical foundations of sequential sampling methods and their performance under different modeling frameworks. I also have a growing interest in utilizing sequential techniques to solve the inferential problems in reliability modeling. Besides this, I work on reliability estimation problems under advanced censoring schemes. More recently, I have developed interests in statistical quality control, where I am particularly interested in the percentiles-based control monitoring schemes under complete and censored data settings. A brief overview of my research work is also featured in the IIT Delhi Faculty Spotlight Series.

Preprints/Submitted Manuscripts:

1. Singh, A. and Joshi, N. (2026+). 

Likelihood-based inference and uncertainty quantification for the reliability parameter in a multi-component stress-strength model under middle censoring and numerical masking. 

Communicated. 

2. Bapat, S.R., Bandyopadhyay, P., and Joshi, N. (2026+). 

Scoreboard pressure and batting performance in T20 cricket: A state-dependent DCCA approach. 

Under Review. 

3. Rege, A.P., Joshi, N., and Chatterjee, K. (2026+). 

EWMA control charts for the percentiles of an inverse Pareto distribution under complete and middle-censored data.

Under Review (Revised version under preparation). 

4. Rajput, A. and Joshi, N. (2026+). 

A minimum-risk and cost-efficient two-sample sequential testing framework for the shifted exponential models with application to precipitation data. 

Under Review.

5. Rajput, A. and Joshi, N. (2026+). 

A group sequential sampling approach for the Behrens-Fisher problem with suspected outliers in data*. 

Under Review.

6. Konar, R., Jat, R., Joshi, N., and Sengupta, R.N. (2026+). 

Likelihood-based regression for Weibull accelerated life testing model under censored data. 

Under Review (Revised version under preparation).

7. Mishra, A., Joshi, N., Singhal, T., and Chatterjee, K. (2025+). 

Percentile-based control charts for a family of lifetime distributions under random and progressive first-failure censoring schemes with applications. 

Under Review (Second revision has been submitted). 

Published/Accepted Journal Articles: 

2026

1. Singh, A. and Joshi, N. (2026). 

Multi-component stress-strength reliability estimation under middle censoring scheme. 

Journal of Statistical Computation and Simulation, Ahead of Print.

2. Rajput, A. and Joshi, N. (2026). 

A three-stage sequential sampling procedure for comparing linear parametric functions of two multiple linear regression models with standardized predictors: illustration using Boston housing data. 

Annals of the Institute of Statistical Mathematics, Ahead of Print.

3. Joshi, N., Bapat, S.R., Chaturvedi, A., and Nadarajah, S. (2026). 

Optimal sequential estimation of the length-biased Pareto mean with case studies on net worth of billionaires and winning times of marathon runners.

Communications in Statistics - Simulation and Computation, Ahead of Print.

4. Joshi, N. and Chakraborty, A. (2026). 

Minimum risk two-stage sequential point estimation of R = P(X < Y) for a one-parameter exponential distribution with unequal sample sizes.

Statistical Papers, 67(2): 24. 

2025

5. Rajput, A. and Joshi, N. (2025). 

On testing the ratio of scale parameters of two Pareto distributions using a novel accelerated sequential sampling technique with applications.

Sequential Analysis, 44(4): 464-490.

6. Joshi, N., Bapat, S.R., and Sengupta, R.N. (2025). 

Two-stage and purely sequential minimum risk point estimation of the scale parameter of a family of distributions under modified LINEX loss plus sampling cost. 

Metrika, 88(5): 689-707.

7. Chaturvedi, A., Joshi, N., Bapat, S.R., and Nadarajah, S. (2025). 

Control charts for the percentiles of an inverse Pareto distribution under complete and middle-censored data. 

Quality and Reliability Engineering International, 41(5): 1971-1984.

8. Chaturvedi, A., Bhatti, M.I., Bapat, S.R., and Joshi, N. (2025). 

Modeling wind speed data using the generalized positive exponential family of distributions. 

Modeling Earth Systems and Environment, 11(2): 98.

2024

9. Bapat, S.R., and Joshi, N. (2024). 

Optimal estimation of the length-biased inverse Gaussian mean with a case study on Eastern Tropical Pacific dolphins. 

Environmental and Ecological Statistics, 31(3): 675-689.

10. Joshi, N., Bapat, S.R., and Sengupta, R.N. (2024). 

Optimal estimation of reliability parameter for inverse Pareto distribution with application to insurance data. 

International Journal of Quality & Reliability Management, 41(7): 1811-1837.

11. Sengupta, R.N., Bapat, S.R., and Joshi, N. (2024). 

Sequential estimation for the multiple linear regression models with balanced loss functions. 

Sequential Analysis, 43(2): 211-232.

12. Joshi, N., Bapat, S.R., and Sengupta, R.N. (2024). 

Estimation of fixed-accuracy confidence interval of the stress-strength reliability for inverse Pareto distribution using two-stage sampling technique.

Sequential Analysis, 43(1): 79-102.

2023

13. Bapat, S.R., Joshi, N., and Shukla, A.K. (2023). 

On fixed-accuracy confidence intervals for the parameters of Lindley distribution and its extensions. 

Austrian Journal of Statistics, 52(2): 104-115. 

2022

14. Joshi, N., Bapat, S.R., and Shukla, A.K. (2022). 

Multi-stage estimation methodologies for an inverse Gaussian mean with known coefficient of variation. 

American Journal of Mathematical and Management Sciences, 41(4): 334-349.

15. Joshi, N. and Bapat, S.R. (2022). 

On improved accelerated sequential estimation of the mean of an inverse Gaussian distribution. 

Communications in Statistics - Theory and Methods, 51(17): 6127-6143. 

16. Chaturvedi, A., Bapat, S.R., and Joshi, N. (2022). 

Sequential estimation of an inverse Gaussian mean with known coefficient of variation. 

Sankhya B, 84(1): 402-420. 

2021

17. Joshi, N. and Bapat, S.R. (2021). 

On a class of purely sequential procedures with applications to estimation and ranking and selection problems. 

Sequential Analysis, 40(4): 482-500. 

18. Joshi, N., Bapat, S.R., and Shukla, A.K. (2021). 

A class of accelerated sequential procedures with applications to estimation problems for some distributions useful in reliability theory.

Communications for Statistical Applications and Methods, 28(5): 563-582. 

19. Chaturvedi, A., Chattopadhyay, S., Bapat, S.R., and Joshi, N. (2021). 

Sequential point estimation procedures for the parameter of a family of distributions. 

Communications in Statistics - Simulation and Computation, 50(9): 2678-2704.  

20. Chaturvedi, A., Bapat, S.R., and Joshi, N. (2021). 

Two-stage and sequential procedures for estimation of powers of parameter of a family of distributions. 

Sequential Analysis, 40(2): 170-197.  

2020

21. Chaturvedi, A., Bapat, S.R., and Joshi, N. (2020). 

Purely sequential and k-stage procedures for estimating the mean of an inverse Gaussian distribution. 

Methodology and Computing in Applied Probability, 22(3): 1193-1219. 

22. Chaturvedi, A., Bapat, S.R., and Joshi, N. (2020). 

Second-order approximations for a multivariate analog of Behrens-Fisher problem through three-stage procedure. 

Communications in Statistics - Theory and Methods, 49(14): 3466-3480. 

23. Chaturvedi, A., Bapat, S.R., and Joshi, N. (2020). 

Sequential minimum risk point estimation of the parameters of an inverse Gaussian distribution. 

American Journal of Mathematical and Management Sciences, 39(1): 20-40. 

2019

24. Chaturvedi, A., Bapat, S.R., and Joshi, N. (2019). 

A k-stage procedure for estimating the mean vector of a multivariate normal population. 

Sequential Analysis, 38(3): 369-384.

25. Chaturvedi, A., Bapat, S.R., and Joshi, N. (2019). 

Multi-stage procedures for the minimum risk and bounded risk point estimation of the location of negative exponential distribution under the modified LINEX loss function. 

Sequential Analysis, 38(2): 135-162. 

26. Chaturvedi, A., Bapat, S.R., and Joshi, N. (2019). 

Multi-stage point estimation of the mean of an inverse Gaussian distribution. 

Sequential Analysis, 38(1): 1-25. 

Published/Accepted Book Chapters:

1. Joshi, N. and Chaturvedi, A. (2026). 

A second-order efficient sequential sampling procedure for estimating the parameter of an inverse Maxwell lifetime model.

In: M. Ram, K. Kumar, S. Saini, I. Ghosh, and A. Kumar (Eds.), Reliability Engineering with Sustainable Systems (Under the Book Series titled Advanced Research in Reliability and System Assurance Engineering), CRC Press, Taylor & Francis. Forthcoming. 

2. Bapat, S.R. and Joshi, N. (2026). 

Understanding censoring techniques in business analytics and decision making. 

In: R.N. Sengupta, B. Basu, J.K. Jha, and I. Mukherjee (Eds.), Data Science and Statistical Modeling in Business: Towards Operational and Business Excellence (Volume four of the Book Series titled Decision Sciences and Data Analytics for Operations and Business Excellence), Springer. Forthcoming. 

*Ashwani got the Best Paper Award for this paper at the Ist International Conference on Statistics, Optimization and Machine Learning, organized by the Maulana Azad National Institute of Technology, Bhopal, India, during February 27-28, 2026.