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Broadly I work at the intersection of information theory, statistics and probability

Some key words: measures of information, Renyi entropy, robust statistical inference, distance based inference, large deviations theory, maximum entropy, information geometry.

Recent Work:

• Information Geometry and Classical Cramér-Rao Type Inequalities (with KV Mishra), in handbook of Statistics Vol. 45

• Are Guessing, Source Coding, and Tasks Partitioning Birds of a Feather? (with Albert Sunny, Ashish Thakre, Ashisha Kumar and G. Dinesh Manohar)

• Projection Theorems and Estimating Equations for Power-Law Models (with Atin Gayen), accepted in Journal of Multivariate Analysis

• Generalized Bayesian Cramér-Rao Inequality via Information Geometry of Relative α-Entropy (with KV Mishra) (Invited)

• Cramér-Rao Lower Bounds Arising from Generalized Csiszár Divergences (with KV Mishra)

• MA5007: Probability & Statistics (Sep. 2020 - Jan. 2021, Aug-Dec 2021, Aug-Dec 2022)
• EE5517: Information Theory and Statistics (Jan-May 2022)
• MA1011: Linear Algebra and One-Variable Calculus (Nov. 2021 - Feb. 2022)
• MA2040: Probability, Stochastic Processes and Statistics (July 2018, July 2019, January 2020, Feb-May 2021)
• MA2032: Numerical Analysis (January 2019)
• MA6001: Probability Theory (January 2020)

We are looking for well motivated (that is, doing research in Mathematics is a goal in life) PhD students in the areas of Mathematical Statistics, Information Theory, Information Geometry, and Probability.

Interested candidates are strongly encouraged to get in touch with me by solving the problems (as many as possible) put up in this link and submit them (scanned copy of hand-written one or latexed one) by email to ashokm[at]iitpkd[dot]ac[dot]in.

(Remember that, it is not necessary that you should have answered the questions completely. You can submit partial solutions also. What we would like to see is your efforts to solve the problems.)

Interested candidates are also strongly encouraged to look at some or all of our recent works mentioned under 'Research' above to get an idea of the kind of works that we are doing.

Current Students

PhD:

1. Satyajit Dhadumia (since August 2021)

2. Santu Sarkar (since August 2022)

Masters:

1. Chrito Babu (M.Sc Math, since August 2022)

2. Kiranmai Guguloth (M.Sc Math, since August 2022)

Past Students

1. Atin Gayen

(PhD: 2016 - 2022, Title of the thesis: Generalized Maximum Likelihood Estimation on Power-Law Distributions: Projection Theorems, Principle of Sufficiency and Cramer-Rao Bounds)

2. Shree Ganesha Sharma M S (M.Tech Data Science, 2020 - 2022)

3. Ajesh Mon R (M.Tech Data Science, 2020 - 2022)

4. Gaurav Kandpal (M.Sc Math, 2020 - 2022)

5. Vishnu Mohanan (Summer Intern, CUSAT, Kerala, June 2019)

6. Ashish Thakre (M.Sc. Mathematics at IIT Indore, May 2018)

7. Shubham Thakur (Summer Intern, IIT Guwahati, June 2017)

8. Manikandan C. (June 2018 - October 2020)