Research Interests:

• Asymptotic Theory of Statistics 

• Rates of Convergence to CLT, Edgeworth Expansions

• Bootstrap, Empirical Likelihoods

• Time Series

• Statistical Analysis of Networks

Research Papers:

(A) Published/Completed*:

• Bootstrapping Lasso in Generalized Linear Models, with Mayukh Choudhury. Submitted.

• Bootstrapping LASSO estimators under variable selection consistency in high dimensions and some higher order refinements, with A. Chatterjee and S. N. Lahiri. Submitted. 

• PEBBLE: A Second Order Correct Bootstrap method in Logistic Regression, with P. Das. Under revision. Available at Arxiv.

• Higher Order Accurate Symmetric Bootstrap Confidence Intervals in High Dimensional Penalized Regression, with A. Chatterjee and S. N. Lahiri. Under revision. 

• Central Limit Theorem and near classical Berry-Esseen rate for self normalized sums in high dimensions. To appear in Bernoulli. Available at Arxiv.

• Central Limit Theorem in High Dimensions: Optimal Bounds on dimension growth rate, with S. N. Lahiri. Transactions of the American Mathematical Society, 374(10), 6991-7009. (2021). Available at Arxiv.

• Distributional Consistency of Lasso by Perturbation Bootstrap, with S. N. Lahiri. Biometrika, 106(4), 957-964. (2019). Available at Arxiv.

• Perturbation Bootstrap in Adaptive LASSO, with K. Gregory and S. N. Lahiri. Annals of Statistics, 47, 2080-2116. (2019). Available at Arxiv.

• Second Order Correctness of Perturbation Bootstrap M-Estimator of Multiple Linear Regression Parameter, with S. N. Lahiri. Bernoulli, 25(1), 654-682. (2019). Available at Arxiv.

• Estimation of Total Fusion Reactivity and Contribution from Supra thermal Tail using 3-parameter Dagum Ion Speed Distribution,With R. Majumdar.  Ann. Nucl. Energy, 97, 66-75. (2016). Available at Arxiv.

(B) Ongoing*:

• High dimensional mean testing using Logistic Regression, with Sayan Das and Subhajit Dutta. 

• Zones of Normal attraction and the high dimensional Central Limit Theorem, with S. N. Lahiri.

• Bootstrapping Sample Extremes, with D. Ghosh and S. N. Lahiri.

• Edgeworth Expansions in Increasing Dimension, with S. Bhar.

* Please look into my research statement to know more about my research.