Research Interests

  • Robust Statistical Inference for Special Non-IID Data Structures, including High-dimesnional Data.
  • Minimum Distance Inference, Density based Divergences and their uses in Robust Inferences.
  • Entropy, Relative Entropy and their Applications in Statistics, Physics and Information Theory.
  • Data Robustness under Bayesian Paradigm, Robust prior selection.
  • Bio-statistics and Bioinformatics.

Peer-Reviewed Journal Publications (By Year)

  1. A robust variable screening procedure for ultra-high dimensional data (2021+). Abhik Ghosh and Magne Thoresen. Statistical Methods in Medical Research. [ArXiv] [Link] [R package]
  2. Robust Parametric Inference for Finite Markov Chains (2021+). Abhik Ghosh, TEST. [ArXiv] [Link]
  3. A Robust Generalization of the Rao Test (2021+). Ayanendranath Basu, Abhik Ghosh, Nirian Martin and Leandro Pardo. Journal of Business & Economic Statistics. [ArXiv] [Link]
  4. Robust Inference for Skewed data in Health Science (2021+). Amarnath Nandy*, Ayanendranath Basu and Abhik Ghosh. Journal of Applied Statistics. [ArXiv] [Link]
  5. Robust semiparametric inference for polytomous logistic regression with complex survey design (2021+). Elena Castilla*, Abhik Ghosh, Nirian Martin and Leandro Pardo. Advances in Data Analysis and Classification. (†) [ArXiv] [Link]
  6. General Robust Bayes Pseudo-Posteriors: Exponential Convergence results with Applications (2021+). Abhik Ghosh, Tuhin Majumder* and Ayanendranath Basu. Statistica Sinica. [ArXiv]
  7. Robust Estimation of Pareto-Type Tail Index through an Exponential Regression Model (2021+). Richard Minkah, Tertius de Wet and Abhik Ghosh. Communications in Statistics - Theory and Methods. [ArXiv] [Link]
  8. Consistent Fixed-Effect Selection in Ultra-high dimensional Linear Mixed Models with Error-Covariate Endogeneity (2021). Abhik Ghosh and Magne Thoresen. Statistica Sinica. [ArXiv]
  9. Modeling expression ranks for noise-tolerant differential expression analysis of scRNA-seq data (2021). Krishan Gupta*, Manan Lalit*, Aditya Biswas*, ..., Abhik Ghosh and Debarka Sengupta. Genome Research, 31 (Apr.), 689 – 697. [Link] [R package]
  10. Robust Wald-Type Tests under Random Censoring (2021). Abhik Ghosh, Ayanendranath Basu and Leandro Pardo. Statistics in Medicine, 40(5), 1285–1305. [ArXiv] [Link]
  11. Robust Generalized Quadratic Discriminant Analysis (2021). Abhik Ghosh, Rita SahaRay, Sayan Chakraborty* and Sayan Bhadra*. Pattern Recognition, 117 (Sept.), 107981. [ArXiv] [Link]
  12. Stable Feature Selection using Copula based Mutual Information (2021). Snehalika Lall*, Debajyoti Sinha, Abhik Ghosh, Debarka Sengupta and Sanghamitra Bandyopadhyay. Pattern Recognition, 112 (Apr.), 107697. [Link]
  13. A Scale-Invariant Generalization of the Rényi Entropy, Associated Divergences and Their Optimizations Under Tsallis’ Nonextensive Framework (2021). Abhik Ghosh and Ayanendranath Basu. IEEE Transactions on Information Theory, 67(4), 2141 - 2161. [ArXiv] [Link]
  14. Maximum Entropy Framework for a Universal Rank Order distribution with Socio-economic Applications (2021). Abhik Ghosh, Preety Shreya* and Banasri Basu. Physica A-Statistical Mechanics and its Applications, 563 (Feb.), 125433. [ArXiv] [Link]
  15. Robust Wald-type Test in GLM with Random Design based on Minimum Density Power Divergence Estimators (2021+). Ayanendranath Basu, Abhik Ghosh, Abhijit Mandal, Nirian Martin, Leandro Pardo. Statistical Methods & Applications, doi: 10.1007/s10260-020-00544-4. (†) [ArXiv] [Link]
  16. A non-parametric two-sample test using a general \phi-divergence based mutual information (2021). Apratim Guha, Atanu Biswas and Abhik Ghosh. Statistica Neerlandica, 75(2), 180 – 202. [Link]
  1. Ultrahigh-dimensional Robust and Efficient Sparse Regression using Non-Concave Penalized Density Power Divergence (2020). Abhik Ghosh and Subhabrata Majumdar. IEEE Transactions on Information Theory, 66(12), 7812-7827.
  2. Comments on “On Active Learning Methods for Manifold Data" (2020). Abhik Ghosh. TEST, 29, 34 – 37 (Invited discussion).
  3. Robust and Efficient Estimation in the Parametric Proportional Hazards Model under Random Censoring (2019). Abhik Ghosh and Ayanendranath Basu. Statistics in Medicine, 38 (27), 5283 – 5299.
  4. 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.
  5. 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.
  6. Universal city-size distributions through rank ordering (2019). Abhik Ghosh and Banasri Basu. Physica A-Statistical Mechanics and its Applications, 528, 121094.
  7. 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.
  1. New robust statistical procedures for polytomous logistic regression models (2018). Elena Castilla*, Abhik Ghosh, Nirian Martin and Leandro Pardo. Biometrics, 74(4), 1282 – 1291. (†)
  2. A New Class of Robust Two-Sample Wald-Type Tests (2018). Abhik Ghosh, Nirian Martin, Ayanendranath Basu, Leandro Pardo. International Journal of Biostatistics, 14(2), 20170023.
  3. Robust Bounded Influence Tests for Independent but Non-Homogeneous Observations (2018). Abhik Ghosh and Ayanendranath Basu. Statistica Sinica, 28, 1133 – 1155.
  4. 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.
  5. A Generalized Relative (a, ß)-Entropy from Robust Statistical Divergence: Properties and Applications (2018). Abhik Ghosh and Ayanendranath Basu. Entropy, 20(5), 347.
  6. 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.
  7. 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.
  8. 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. (†)
  9. 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.
  10. A Generalized Divergence for Statistical Inference (2017). Abhik Ghosh, Ian R. Harris, Avijit Maji, Ayanendranath Basu and Leandro Pardo. Bernoulli Journal, 23(4A), 2746 – 2783.
  11. 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. (†)
  12. Robust and Efficient Parameter Estimation based on Censored Data with Stochastic Covariates (2017). Abhik Ghosh and Ayanendranath Basu. Statistics, 51(4), 801-823.
  13. Divergence based Robust Estimation of the Tail Index with Exponential Regression Model (2017). Abhik Ghosh. Statistical Methods & Applications, 26(2), 181 – 213.
  14. The Minimum S-Divergence Estimator in Continuous Models: The Basu-Lindsay Approach (2017). Abhik Ghosh and Ayanendranath Basu. Statistical Papers, 58(2), 341 – 372.
  1. Testing Composite Null Hypotheses based on S-Divergences (2016). Abhik Ghosh and Ayanendranath Basu. Statistics and Probability Letters, 114, 38 – 47.
  2. Influence Analysis of Robust Wald-type Tests (2016). Abhik Ghosh, Abhijit Mandal, Nirian Martin and Leandro Pardo. Journal of Multivariate Analysis, 147, 102 – 126. (†)
  3. The Logarithmic Super Divergence and Asymptotic Inference Properties (2016). Avijit Maji*, Abhik Ghosh & Ayanendranath Basu. AStA Advances in Statistical Analysis, 100(1), 99 – 131.
  4. 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.
  5. Robust Estimation in Generalized Linear Models: The Density Power Divergence Approach (2016). Abhik Ghosh and Ayanendranath Basu. TEST, 25(2), 269 – 290.
  6. Influence Function Analysis of the Restricted Minimum Divergence Estimators: A General Form (2015). Abhik Ghosh. Electronic Journal of Statistics, 9, 1017 – 1040.
  7. 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.
  8. 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.
  9. 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.
  10. Asymptotic Properties of Minimum S-Divergence Estimator for Discrete Models (2015). Abhik Ghosh. Sankhya A - The Indian Journal of Statistics, 77(2), 380 – 407.
  11. 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.
  12. 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.
  13. 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).
* after author name indicates Graduate/Masters students working under my (or coauthor’s) supervision at the time of that research.
(†) Author list of that publication is in alphabetical order of Surnames (as per the requirement from co-authors and/or their institute)

Other Publications

  1. Robustness Concerns in High-dimensional Data Analysis and Potential Solutions (2021+). Abhik Ghosh. Big Data Analytics in Chemoinformatics and Bioinformatics (with applications to computer-aided drug design, cancer biology, emerging pathogens and computational toxicology), S. C. Basak and M. Vracko, Eds., Elsevier. [To appear]
  2. On Entropy based Diversity Measures: Statistical Efficiency and Robustness Considerations (2021+). Abhik Ghosh and Ayanendranath Basu. Trends in Mathematical, Information and Data Sciences: A Tribute to Leandro Pardo, N. Balakrishnan, M. Á. Gil, N. Martín, D. Morales, M. C. Pardo, Eds., Springer. [To appear]
  3. Robust inference based on divergences in Reliability Systems (2013). Abhik Ghosh, Avijit Maji* and Ayanendranath Basu. Applied Reliability Engineering and Risk Analysis – Probabilistic Models and Statistical Inference, 290-307, I. Frenkel, A. Karagrigoriou, A. Lisnianski and A. Kleyner, Eds. Dedicated to the Centennial of the birth of Boris Gnedenko, Wiley, NY, USA. [Link]
  1. RaJIVE: Robust Angle Based JIVE for Integrating Noisy Multi-Source Data. Erica Ponzi, Magne Thoresen, and Abhik Ghosh. (2021, ArXived) [R package]
  2. Robust sure independence screening for non-polynomial dimensional generalized linear models. Abhik Ghosh, Erica Ponzi, Torkjel Sandanger and Magne Thoresen. (2021, ArXived)
  3. Strata-based Quantification of Distributional Uncertainty in Socio-Economic Indicators: A Comparative Study of Indian States. Abhik Ghosh, Olivia Mallick*, Souvik Chatterjee*, and Banasri Basu. (2021, ArXived)
  4. Robust Hypothesis Testing and Model Selection for Parametric Proportional Hazard Regression Models. Amarnath Nandy*, Abhik Ghosh, Ayanendranath Basu, Leandro Pardo. (2020, ArXived)
  5. Robust adaptive variable selection in ultra-high dimensional regression models. Abhik Ghosh, Maria Jaenada* and Leandro Pardo. (2020, ArXived)
  6. Robust Clustering with Normal Mixture Models: A Pseudo ß-Likelihood Approach. Soumya Chakraborty*, Ayanendranath Basu, Abhik Ghosh. (2020, ArXived)
  7. Robust estimation under linear mixed models: the minimum density power divergence approach. Giovanni Saraceno*, Abhik Ghosh, Ayanendranath Basu and Claudio Agostinelli. (2020, ArXived)
  8. On regularization methods based on Renyi's pseudodistances for sparse high-dimensional linear regression models. Elena Castilla*, Abhik Ghosh, Maria Jaenada* and Leandro Pardo. (†) (2020, ArXived)
  9. Robust statistical modeling of monthly rainfall: The minimum density power divergence approach. Arnab Hazra and Abhik Ghosh (2019, ArXived)
  10. Optimal Guessing under Nonextensive Framework and associated Moment Bounds. Abhik Ghosh (2019, ArXived)
  11. sc-REnF: An entropy guided robust feature selection for clustering of single-cell RNA-seq data. Snehalika Lall*, Abhik Ghosh, Sumanta Ray and Sanghamitra Bandyopadhyay. (2019, ArXived)
  12. On Robust Pseudo-Bayes Estimation for the Independent Non-homogeneous Set-up. Tuhin Majumder*, Ayanendranath Basu and Abhik Ghosh. (2019, ArXived)
  13. Theoretical Properties of a New Weighted Likelihood Estimator for Right Censored Data. Adhidev Biswas*, Pratim Guha Niyogi*, Suman Majumder*, Subir K. Bhandari, Abhik Ghosh and Ayanendranath Basu. (2018, ISI ISRU Technical report)
  14. Robust Estimation of Bivariate Tail Dependence Coefficient. Abhik Ghosh. (2015, ArXived)
  15. The Logarithmic Super Divergence and its use in Statistical Inference. Avijit Maji, Abhik Ghosh and Ayanendranath Basu (2014, ArXived)
  16. Estimating Copula and Test of Independence based on a generalized framework of all rank-based Statistics in Bivariate Sample. Abhik Ghosh* and Aritra Chakravorty* (2013, ArXived)
  17. A Model Explaining Correlation between Observed Values in Contingency Tables. Abhik Ghosh*, Samit Roy*, Sujatro Chaklader* (2013, ArXived)
  1. RaJIVE: An R package published in CRAN, jointly with Erica Ponzi.
  2. dpdSIS: An R package published in GitHub.
  3. ROSeq: An R package published in Bioconductor.
* after author name indicates Graduate/Masters students working under my (or coauthor’s) supervision at the time of that research.
(†) Author list of that publication is in alphabetical order of Surnames (as per the requirement from co-authors and/or their institute)

Research Grants

  1. Robust minimum divergence inferences for Non-Standard data problems: Emphasis on Censored, Longitudinal & High-dimensional data and Machine Learning & Multisample set-ups (2016–21).
    INSPIRE Faculty Research Grant, Department of Science & Technology (DST), Govt. of India, India. Total Budget: Rs. 35,00,000/-. [Principal Investigator]
  2. Robust Statistical Learning for High-dimensional Biomedical and Omics data (2020–22).
    Start-Up Research Grant, Science and Engineering Research Board (SERB), DST, Government of India, India. Total Budget: Rs. 15,32,916/-. [Principal Investigator]
  3. Outlier-Robust Methods in Biostatistics and Bioinformatics using Density Power Divergence (2020–23). Internal Research Grant, Indian Statistical Institute, India. Total Budget: Rs. 7,31,000/-. [Principal Investigator]
  4. Unravelling the interdisciplinary facets of physics and data sciences in real life socio-economic challenges (2019–22). Core Research Grant, Science and Engineering Research Board (SERB), DST, Govt. of India, India. [Co-Principal Investigator]
    PI: Prof. Banasri Basu, Indian Statistical Institute, India. Total Budget: Rs. 21,19,546/-
  5. Applied Statistical Problems for Dependent Incomplete Multidimensional Data (2021–22).
    Joint India-Uzbekistan Research Grant, Department of Science & Technology (DST), Govt. of India, and Ministry of Innovative Development of the Republic of Uzbekistan. [Co-Principal Investigator]
    PI: Prof. Ayanendranath Basu, Indian Statistical Institute, India, and Dr. Abdushukurov Abdurakhim, Moscow State University, Tashkent Branch, Tashkent, Uzbekistan. Total Budget: Rs. 15,85,000/-
  6. Robust estimation and testing for high-dimensional data based on density power divergence (2019–21). Grant No: PGC2018-095194-B-I00, Ministerio de Ciensia, Innovacion y Universidades, Spain.
    PI: Prof. Leandro Pardo, Complutense University of Madrid, Spain. [Member]
  1. Robust minimum divergence inferences for biostatistics and bioinformatics (2018–19). Start-up Grant, Indian Statistical Institute, India. Total Budget: Rs. 4,36,000/-. Expenses: Rs. 2,74,899/- [Principal Investigator]


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Interdisciplinary Statistical Research Unit (ISRU)
Indian Statistical Institute
R. A. Fisher Bhavan, 4th Floor.
203, B.T. Road, Kolkata - 700108, West Bengal, India.
Email : abhik.ghosh@isical.ac.in

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