5 papers
Extended rank regression for all ordinal data
Peter Hoff, Supratik Basu
The accuracy of inference from a regression model depends largely on how well the model represents the relationship between the mean and variance of the outcomes. As this relations…
Characterization of Generalized Alpha-Beta Divergence and Associated Entropy Measures
Subhrajyoty Roy, Supratik Basu, Abhik Ghosh +1
Minimum divergence estimators provide a natural framework for robust (parametric) statistical inference. Useful properties of several such divergence measures, including, the Helli…
Universally Optimal Robustness-Efficiency Tradeoffs for a General Class of Minimum Divergence Estimators
Subhrajyoty Roy, Supratik Basu, Abhik Ghosh +1
Balancing the efficiency of an estimator under ideal conditions against its robustness under contamination remains a central challenge in robust statistics. While minimum divergenc…
Maximal Inequalities for Independent Random Vectors
Supratik Basu, Arun K Kuchibhotla
Maximal inequalities refer to bounds on expected values of the supremum of averages of random variables over a collection. They play a crucial role in the study of non-parametric a…
Dirichlet Process-based Robust Clustering using the Median-of-Means Estimator
Supratik Basu, Jyotishka Ray Choudhury, Debolina Paul +1
Clustering stands as one of the most prominent challenges in unsupervised machine learning. Among centroid-based methods, the classic -means algorithm, based on Lloyd's heuristi…