Douglas G. Simpson

TL;DR: A method for exploring the structure of populations of complex objects, such as images, is considered, and endemic outliers motivate the development of a bounded influence approach to PCA.

TL;DR: In this article, the authors investigate the extent to which this folklore is valid for one-step GM estimators and their associated standard errors in linear regression, and they find that one step GM estimates based on Newton-Raphson or Scoring inherit the breakdown point of high breakdown point initial estimates such as least median of squares provided the usual weights that limit the influence of extreme points in the design space are based on location and scatter estimates with high breakdown points.

TL;DR: In this paper, the minimum hellinger distance (MHD) estimator is applied to count data and its properties are illustrated using short-term mutagenicity test data.

TL;DR: In this paper, the minimum hellinger distance (MHD) estimator is applied to count data and its properties are illustrated using short-term mutagenicity test data.

TL;DR: Hellinger distance analogs of likelihood ratio tests are proposed for parametric inference as discussed by the authors, based on minimized Hellinger distances between nonparametric density estimates and densities corresponding to null and unconstrained parametric models.