Research Interests:
Sequential Analysis
Statistical Inference
Statistical Reliability Theory
Statistical Quality Control
[A brief overview of my research work is also featured in the IIT Delhi Faculty Spotlight series (Youtube Link).]
Ongoing Research Projects:
Project Title: Improved Estimation of Regression Parameters Using Adaptive Sampling Strategies with Applications
Funding Agency: Planning Unit, Indian Institute of Technology Delhi
Grant Name: New Faculty Seed Grant (NFSG)
Sanctioned Budget: INR 20,00,000
Duration: Feb 12, 2024 - Feb 11, 2027
Preprints/Submitted Manuscripts:
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.
Singh, A. and Joshi, N. (2026+). Multi-Component Stress-Strength Reliability Estimation Under Middle Censoring Scheme. Under Review.
Rajput, A. and Joshi, N. (2026+). A Group Sequential Sampling Approach for the Behrens-Fisher Problem with Suspected Outliers in Data. Under Review [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].
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.
Joshi, N., Bapat, S.R., Chaturvedi, A., and Nadarajah, S. (2025+). Optimal sequential estimation of the length-biased Pareto mean with case studies on net worth of billionaires and winning times of marathon runners. Major Revision Submitted (Under Review).
Rajput, A. and Joshi, N. (2025+). 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. Major Revision Submitted (Under Review).
Published/Accepted Journal Articles:
2026
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
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.
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.
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.
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
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.
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.
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.
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
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
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.
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.
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
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.
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.
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.
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
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.
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.
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
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.
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.
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.
Articles in Edited Books:
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.