Abhijit Mandal

Abhijit Mandal

Assistant Professor

abhijit.mandal@wayne.edu

Department of Mathematics
1123 Faculty/Administration Building
656 W. Kirby
Detroit, MI 48202

Abhijit Mandal

Research Interest/Area of Expertise

  •  Robust Inference, Asymptotic Theory, Statistical Genetics, Independent Component Analysis, Nonparametric Additive Models, Multivariate Analysis.

Education – Degrees, Licenses, Certifications

  • Ph.D. in Statistics, Indian Statistical Institute, Kolkata, India, 2010
  • M.Stat., Indian Statistical Institute, Kolkata, India, 2005
  • B.Sc. (Statistics Honors), Ramakrishna Mission Residential College, Narendrapur, India, 2003

Selected Publications

The B-Exponential Divergence and its Generalizations with Applications to Parametric Estimation. Statistical Methods & Applications, 2018. (with T. Mukherjee, A. Basu) (accepted)

A Robust Wald-Type Test for Testing the Equality of Two Means from Log-Normal Samples. Methodology and Computing in Applied Probability, 2018. (with A. Basu, N. Martin, L. Pardo) (accepted)

Density Power Divergence Tests for Composite Null Hypotheses. Sankhya, Series B, 2018. (with A. Basu, N. Martin, L. Pardo) (accepted).

A Wald-type test statistic for testing linear hypothesis in logistic regression models based on minimum density power divergence estimator. Electronic Journal of Statistics, Vol 11 (2), 2741-2772, 2017. (with A. Basu, A. Ghosh, N. Martin and L. Pardo)

Influence Analysis of Robust Wald-type Tests. Journal of Multivariate Analysis, Vol. 147, 102-126, 2016. (with A. Ghosh, N. Martin and L. Pardo)

Generalized Wald-type Tests based on Minimum Density Power Divergence Estimators. Statistics, Vol. 50, 1-26, 2016. (with A. Basu, N. Martin and L. Pardo) 

Robust tests for the equality of two normal means based on the density power divergence. Metrika, Vol. 78, 611-634, 2015. (with A. Basu, N. Martin and L. Pardo) 

Non-linear Canonical Analysis Using AB-divergence. Entropy, Vol. 15, 2788-2804, 2013. (with A. Cichocki) 

Minimum disparity estimation: Improved efficiency through inlier modiffication. Computational Statistics and Data Analysis, Vol. 64, 71-86, 2013. (with A. Basu)

Testing Statistical Hypotheses based on the Density Power Divergence. Annals of the Institute of Statistical Mathematics, Vol. 65, 319-348, 2013. (with A. Basu, N. Martin and L. Pardo)

Multinomial goodness-of-fit testing and inlier modification. Electronic Journal of Statistics, Vol. 5, 1846-1875, 2011. (with A. Basu)

Deflation-based FastICA Reloaded. Proceedings of the 19th European Signal Processing Conference (EUSIPCO 2011), 1854-1858, 2011. (with K. Nordhausen, P. Ilmonen, H. Oja and E. Ollila)

Minimum Disparity Estimation based on Combined Disparities: Asymptotic Results. Journal of Statistical Planning and Inference, Vol. 141, 701-710, 2011. (with S. K. Bhandari and A. Basu)

Goodness-of-Fit Testing in Growth Curve Models: A General Approach based on Finite Differences. Computational Statistics and Data Analysis, Vol. 55, 1086-1098, 2011. (with W. T. Huang, S. K. Bhandari and A. Basu)

Hypothesis Testing for two Discrete Populations based on the Hellinger Distance. Statistics and Probability Letters, Vol. 80, 206-214, 2010. (with A. Basu and L. Pardo)

Minimum Disparity Inference and the Empty Cell Penalty: Asymptotic Results. Sankhya, Series A, Vol. 72, 376-406, 2010. (with A. Basu and L. Pardo)

Independent Component Analysis (ICA) using Pearsonian Density Function. Lecture Notes in Computer Science, Vol. 5441, 74-81, 2009. (with A. Chakraborty)

Minimum Hellinger Distance Estimation with Inlier Modification. Sankhya, Series B, Vol. 70, 310-322, 2008. (with R. K. Patra and A. Basu)

Currently Teaching

  • MAT 2210: Probability and Statistics, 4 credits, Fall 2018

    MAT 5030: Statistical Computing and Data Analysis, 3 credits, Fall 2018

Courses taught

MAT 5800: Introduction to Mathematical Statistics, 4 credits, Winter 2018

MAT 5030: Statistical Computing and Data Analysis, 3 credits, Fall 2017

MAT 2210: Probability and Statistics, 4 credits; Winter 2018, Fall 2017, Winter 2017, Fall 2016 (Two sections)