I am an Assistant Professor in the Department of Mathematics at Indian Institute of Technology Bombay. Before joining IIT Bombay, I was an Assistant Professor in the Department of Mathematics and Statistics at IIT Kanpur. Prior to that I was an Inspire Faculty at Indian Statistical Institute, Delhi Center and a Visiting Assistant Professor at Department of Statistics, University of Wisconsin-Madison. I completed my PhD in Statistics from North Carolina State University, advised by Professor S. N. Lahiri.
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.
Teaching:
(A) As Instructor at IIT Bombay:
Time Series Analysis (SI 509)**: Spring 2022
Probability I (SI 427)**: Fall 2021
Statistical Inference (SI 424)**: Fall 2023, Spring 2023, Fall 2022, Spring 2021
(B) As Instructor at IIT Kanpur:
Inference I (MTH 418)**: Spring 2020
Probability Theory (MTH 754)**: Fall 2020 and Fall 2019
(C) As Instructor at University of Wisconsin-Madison:
Statistical Methods for Bio-science I (Stat 571) **: Fall 2017
Introductory Statistics for Engineers (Stat 324)* : Spring 2018 and Fall 2017
(D) As Teaching Assistant at NC State:
Experimental Statistics for Engineers I (Stat 515) **: Spring 2016
Measure Theory and Advanced Probability (Stat 779) **: Fall 2015
Introduction to Statistical Inference and Regression (Stat 372)* : Spring 2015, Spring 2014
Economic and business Statistics (Stat/Bus 350) *: Fall 2014
Introduction to Mathematical Statistics I (Stat 421)* : Fall 2013
* Undergraduate Courses ** Graduate Courses
Grants:
DST INSPIRE Grant: 2019-2024
SERB MATRICS Grant on COVID-19: 2020-2021 (jointly with Dr. Subhajit Dutta, Dr. Minerva Mukhopadhyay and Dr. Hamim Zafar)