Research Interest

  • Robust Statistical Inference using Density Based Divergences, Robustness Measures and connection with Asymptotic Efficiency.

  • Robustness in Non-identical Data and Special Data Structures

  • Data Robustness under Bayesian Paradigm, Robust prior selection.

  • High-Dimensional Statistics.

  • Bio-statistics and Bioinformatics.

Journal Publications

  1. Robust and Efficient Estimation in the Parametric Proportional Hazards Model under Random Censoring. Abhik Ghosh and Ayanendranath Basu. Statistics in Medicine, to appear.

  2. Robust Statistical Inference Based on the C-Divergence Family (2019). Avijit Maji, Abhik Ghosh, Ayanendranath Basu and Leandro Pardo. Annals of the Institute of Statistical Mathematics, 71(5), 1289 – 1322.

  3. Universal city-size distributions through rank ordering (2019). Abhik Ghosh, Banasri Basu. Physica A-Statistical Mechanics and its Applications, 528, 121094.

  4. Power and Level Robustness of a Test for Composite Hypotheses under Independent Non-Homogeneous Data (2019). Abhik Ghosh and Ayanendranath Basu. Statistics and Probability Letters, 148, 35 – 42.

  5. Robust Inference under the Beta Regression Model with Application to Health Care Studies (2019). Abhik Ghosh. Statistical Methods in Medical Research, 28(3), 871 – 888.

  6. New robust statistical procedures for polytomous logistic regression models (2018). Elena Castilla, Abhik Ghosh, Nirian Martin and Leandro Pardo. Biometrics, 74(4), 1282 – 1291.

  7. A New Class of Robust Two-Sample Wald-Type Tests (2018). Abhik Ghosh, Nirian Martin, Ayanendranath Basu and Leandro Pardo. International Journal of Biostatistics, 14(2), 20170023.

  8. Robust Bounded Influence Tests for Independent but Non-Homogeneous Observations (2018). Abhik Ghosh and Ayanendranath Basu. Statistica Sinica, 28, 1133 – 1155. [***]

  9. A New Family of Divergences Originating from Model Adequacy Tests and Application to Robust Statistical Inference (2018). Abhik Ghosh and Ayanendranath Basu. IEEE Transactions on Information Theory, 64(8), 5581 – 5591. [***]

  10. A Generalized Relative (?, ?)-Entropy from Robust Statistical Divergence: Properties and Applications (2018). Abhik Ghosh and Ayanendranath Basu. Entropy, 20(5), 347.

  11. Improvements in the Small Sample Efficiency of the Minimum S-Divergence Estimators under Discrete Models (2018). Abhik Ghosh and Ayanendranath Basu. Journal of Statistical Computation and Simulation, 88(3), 511 – 532.

  12. Non-Concave Penalization in Linear Mixed-Effect Models and Regularized Selection of Fixed Effects (2018). Abhik Ghosh and Magne Thoresen. AStA Advances in Statistical Analysis, 102(2), 179 – 210.

  13. Consumption of Fruitflow® lowers blood pressure in pre-hypertensive males: A randomized, placebo controlled, double blind, cross-over study (2018). Main Uddin, Dipankar Biswas, Abhik Ghosh, Niamh O’Kennedy and Asim K. Duttaroy. International Journal of Food Sciences and Nutrition, 69(4), 494 – 502.

  14. Robust Wald-type tests for non-homogeneous observations based on minimum density power divergence estimator (2018). Ayanendranath Basu, Abhik Ghosh, Nirian Martin and Leandro Pardo. Metrika, 81(5), 493 – 522.

  15. A Wald-type test statistic for testing linear Hypothesis in logistic regression models based on minimum density power divergence estimator (2017). Ayanendranath Basu, Abhik Ghosh, Abhijit Mandal, Nirian Martin & Leandro Pardo. Electronic Journal of Statistics, 11, 2741-2772.

  16. Robust and Efficient Parameter Estimation based on Censored Data with Stochastic Covariates (2017). Abhik Ghosh and Ayanendranath Basu. Statistics, 51(4), 801-823.

  17. Divergence based Robust Estimation of the Tail Index with Exponential Regression Model (2017). Abhik Ghosh. Statistical Methods & Applications, 26(2), 181 – 213.

  18. The Minimum S-Divergence Estimator in Continuous Models: The Basu-Lindsay Approach (2017). Abhik Ghosh and Ayanendranath Basu. Statistical Papers, 58(2), 341 – 372.

  19. Testing Composite Null Hypotheses based on S-Divergences (2016). Abhik Ghosh and Ayanendranath Basu. Statistics and Probability Letters, 114, 38 – 47.

  20. Influence Analysis of Robust Wald-type Tests (2016). Abhik Ghosh, Abhijit Mandal, Nirian Martin and Leandro Pardo. Journal of Multivariate Analysis, 147, 102 – 126.

  21. The Logarithmic Super Divergence and Asymptotic Inference Properties (2016). Avijit Maji, Abhik Ghosh & Ayanendranath Basu. AStA Advances in Statistical Analysis, 100(1), 99 – 131.

  22. Robust Bayes Estimation using the Density Power Divergence (2016). Abhik Ghosh and Ayanendranath Basu. Annals of the Institute of Statistical Mathematics, 68(2), 413 – 437. [***]

  23. Robust Estimation in Generalized Linear Models: The Density Power Divergence Approach (2016). Abhik Ghosh and Ayanendranath Basu. TEST, 25(2), 269 – 290.

  24. Influence Function Analysis of the Restricted Minimum Divergence Estimators: A General Form (2015). Abhik Ghosh. Electronic Journal of Statistics, 9, 1017 – 1040.

  25. On the robustness of a divergence based test of simple statistical hypotheses (2015). Abhik Ghosh, Ayanendranath Basu and Leandro Pardo. Journal of Statistical Planning and Inference, 161, 91–108.

  26. Robust Estimation for Non-Homogeneous Data and the Selection of the Optimal Tuning Parameter: The DPD Approach (2015). Abhik Ghosh and Ayanendranath Basu. Journal of Applied Statistics, 42(9), 2056 – 2072.

  27. Monte Carlo Comparison of Tests of Exponentiality against NWBUE Alternatives (2015). Md. Zafar Anis and Abhik Ghosh. Mathematics and Computers in Simulation, 115, 1 – 11.

  28. Asymptotic Properties of Minimum S-Divergence Estimator for Discrete Models (2015). Abhik Ghosh. Sankhya A - The Indian Journal of Statistics, 77(2), 380 – 407.

  29. Robust Estimation for Independent but Non-Homogeneous Observations using Density Power Divergence with application to Linear Regression (2013). Abhik Ghosh and Ayanendranath Basu. Electronic Journal of statistics, 7, 2420 – 2456. [***]

  30. Consumer Expenditure Distribution in India, 1983-2007: Evidence of a Long Pareto Tail (2011). Abhik Ghosh, Kausik Gangopadhyay and Banasri Basu. Physica A-Statistical Mechanics and its Applications, 390(1), 83 – 97.

  31. A Quantile-based method for association mapping of quantitative phenotypes: an application to rheumatoid arthritis phenotypes (2009). Saurabh Ghosh, Krishna R. Sanapala, Abhik Ghosh and Sujatro Chakladar. BMC Proceedings, 3(7), 2009: Genetic Analysis Workshop 16 (St Louis, MO, USA, September, 2008). [link].

Book Chapters

  • A. Ghosh, A. Maji and A. Basu (2013), Robust inference based on divergences in Reliability Systems. Applied Reliability Engineering and Risk Analysis – Probabilistic Models and Statistical Inference, Eds. I. Frenkel, A. Karagrigoriou, A. Lisnianski & A. Kleyner. Dedicated to the Centennial of the birth of Boris Gnedenko, Wiley, New York, USA. [link].

International Conferences

  • A. Ghosh and A. Basu (2016), Robust Wald-Type Tests under Random Censoring, International Conference of Robust Statistics (ICORS), Switzerland..

  • A. Ghosh and M. Thoresen (2016), Non-Concave Penalization in Linear Mixed-Effects Models and Regularized Selection of Fixed Effects,37th Annual Conference of International Society of Clinical Biostatistics (ISCB) , Birmingham, UK..

  • A. Ghosh and A. Basu (2015), Robust Bounded Influence Tests for Independent but Non-Homogeneous Observations with Application to Linear Regression, Invited Speaker, International Conference of Robust Statistics (ICORS), India..

  • A. Ghosh (2014), Click, Click, Click, ... Classified: Real-time classification of independent sample into existing segments in just 2 minutes, 24th Annual Seminar of the Market Research Society of India (MRSI), Delhi-NCR, India (Received the Best paper of the Session award)..

  • A. Ghosh (2013), On Robust Minimum Divergence Estimation based on the S-Divergence, Young Statistician’s Satellite Meeting, Hong Kong University, Satellite event of the 59th ISI World Statistics Congress (selected for the first place of the Jan Tinbergen Award)..

Technical Reports & Pre-prints

  • A. Ghosh and M. Thoresen (2016) Non-Concave Penalization in Linear Mixed-Effects Models and Regularized Selection of Fixed Effects. [ArXiv].

  • A. Ghosh and A. Basu (2017), Robust Statistical Inference Based on a New Family of Divergences Originating from Model Adequacy Tests. [ArXiv].

  • A. Basu, A. Ghosh, A. Mandal, N. Martin and L. Pardo (2016), A Wald-type test statistic for testing linear hypothesis in logistic regression models based on minimum density power divergence estimator. [ArXiv].

  • A. Maji, A. Ghosh and A. Basu (2015), The C-Divergence Family and Statistical Inference: Robustness and Asymptotic Properties..

  • A. Ghosh (2014), Robust Estimation of Bivariate Tail Dependence Coefficient. [ArXiv].

  • A. Maji, A. Ghosh and A. Basu (2014), The Logarithmic Super Divergence and its use in Statistical Inference. [ArXiv].

Thesis

A. Ghosh (2015), Robust Minimum Divergence Inference using Density Power Divergence and its Extensions: Applications to Non-Identically Distributed Data and the Bayesian Paradigm. PhD Thesis. Interdisciplinary Statistical Research Unit (ISRU), Indian Statistical Institute, Kolkata, India [dissertation].