11 citations · 16 across the 5 of their papers we have counts for
5 papers
Robust Principal Component Analysis using Density Power Divergence
Subhrajyoty Roy, Ayanendranath Basu, Abhik Ghosh
Principal component analysis (PCA) is a widely employed statistical tool used primarily for dimensionality reduction. However, it is known to be adversely affected by the presence…
The Logarithmic Super Divergence and its use in Statistical Inference
Avijit Maji, Abhik Ghosh, Ayanendranath Basu
This paper introduces a new superfamily of divergences that is similar in spirit to the S-divergence family introduced by Ghosh et al. (2013). This new family serves as an umbrella…
Robust Estimation of Bivariate Tail Dependence Coefficient
Abhik Ghosh
The problem of estimating the coefficient of bivariate tail dependence is considered here from the robustness point of view; it combines two apparently contradictory theories of ro…
Influence Function Analysis of the Restricted Minimum Divergence Estimators : A General Form
Abhik Ghosh
The minimum divergence estimators have proved to be useful tools in the area of robust inference. The robustness of such estimators are measured using the classical Influence funct…
Estimation of Multivariate Location and Covariance using the S -Hellinger Distance
Abhik Ghosh, Ayanendranath Basu
This paper describes a generalization of the Hellinger distance which we call the S -Hellinger distance; this general family connects the Hellinger distance smoothly with the …