Buddhananda Banerjee
(Ph.D in Statistics, ISI Kolkata)
Assistant Professor
N309A, Department of Mathematics
Indian Institute of Technology Kharagpur
Medinipur, West BengalIndia. PIN: 721302Email: bbanerjee@maths.iitkgp.ac.inBuddhananda Banerjee
(Ph.D in Statistics, ISI Kolkata)
Assistant Professor
N309A, Department of Mathematics
Indian Institute of Technology Kharagpur
Medinipur, West BengalIndia. PIN: 721302Email: bbanerjee@maths.iitkgp.ac.inResearch Interest
Statistics on manifolds
Functional data analysis
Change point analysis
Surrogate analysis in Clinical Trails
Directional data analysis
Topological data analysis
Books:
Black, K.: Business statistics: for contemporary decision making.
Miller, M. & Miller, I. : John E. Freund's Mathematical Statistics: With Applications.
Rice, John A. : Mathematical statistics and data analysis.
Lay, D. C.: Linear algebra and its applications.
Useful Links
Probability
Random variable and vector
Moments
Transformation of random variables
Sampling distributions
Law of large numbers (LLN)
Inference
MA60056/MA60280 : Regression and Time series Models (Spring,2026)
MON(11:00-11:55) , TUE(08:00-08:55) , TUE(09:00-09:55) @ NR222
Prerequisites: Probability & Statistics
Regression: Linear Algebra (Revision) , Testing of Hypothesis (Revision) , Linear models, Miticollinearity, Regularization, Generalized Linear models. Model acccuracy checking
Time-Series: Linear processes, Stationarity, Autocovariance, ACF, PACF, Estimation,
ARIMA, SARIMA
Introduction to Linear Regression Analysis, 5th Edition: Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining
Regression Analysis by Example, 5th Edition Samprit Chatterjee, Ali S. Hadi
Time Series Analysis and Its Applications: With R Examples : Robert H. Shumway , David S. Stoffer
Introduction to Time Series and Forecasting : Brockwell, Peter J., Davis, Richard A.
MA20205 : AI & ML (Spring ,2026) [ I will cover the ML part only ]
MON(08:00-08:55) , MON(09:00-09:55) , TUE(12:00-12:55) @ NR321/NR322/NR122(TBA)
Prerequisites: Probability & Statistics , Linear Algebra
AI: Graph structures and search strategies, including uninformed and heuristic-based algorithms such as BFS, DFS, A*, and game-theoretic decision-making using minimax and Monte Carlo tree search. Logical reasoning through propositional logic complements algorithmic problem-solving.
ML: Supervised and unsupervised learning with emphasis on clustering methods, regression models, gradient-based optimization, and neural networks, backpropagation. Evolutionary algorithms, genetic algorithms,
Artificial Intelligence: A Modern Approach. Stuart J. Russell and Peter Norvig.
Artificial Intelligence: Structures and Strategies for Complex Problem Solving : G. F Lunger
Pattern recognition and machine learning. : C. M. Bishop,
An introduction to statistical learning with applications in R :G James, D Witten, T Hastie, and R Tibshirani
Handbook Statistical foundations of machine learning: Gianluca Bontempi
MA20205 : Probability and Statistics (Autumn,2025) Download Class Notes
Prerequisites: 1st year mathematics courses
Probability : Definition & laws, Random variable, Modeling with Random Variables, Examples of discrete random variables, Examples of continuous random variables:, Joint and conditional distributions, Laws of expectation , Law of Large Numbers , Estimation , Testing of Hypothesis .
Mathematical Statistics and Data Analysis by John A. Rice
Introduction to Probability and Statistics for Engineers and Scientists by S.M. Ross
Probability and Statistical Inference by R.V. Hogg, E.A. Tanis, & D. L. Zimmerman
Introduction to Probability Theory by Paul G. Hoel, Sidney C. Port and Charles J. Stone
MA60263 : Multivariate Statistical Methods (Autumn,2025) Download Lecture note
Prerequisites:
Probability & Statistics ,
Linear Algebra
Linear Algebra (Revision) , Joint & Marginal Probabilty distributions (Revision) , Multivariate Normal & sampling distributions , Multiple linear regression
Principal Component analysis , Factor Analysis , Discriminant Analysis , Classification, Clustering , High dimensional data analysis
Johnson, R. A., & Wichern, D. W. (2002). Applied multivariate statistical analysis (Vol. 5, No. 8).
Zelterman, D. (2015). Applied multivariate statistics with R
Boyd, S., & Vandenberghe, L. (2018). Introduction to applied linear algebra: vectors, matrices, and least squares.
Strang, G. (2020). Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares [Bookshelf].