A method for exploring the structure of populations of complex objects, such as images, is
considered. The objects are summarized by feature vectors. The statistical backbone is …

Li and Chen (J. Amer. Statist. Assoc. 80 (1985) 759) proposed a method for principal
components using projection-pursuit techniques. In classical principal components one …

The folklore on one-step estimation is that it inherits the breakdown point of the preliminary
estimator and yet has the same large sample distribution as the fully iterated version as long …

Differential privacy is a cryptographically motivated approach to privacy that has become a
very active field of research over the last decade in theoretical computer science and …

There has been no attention to circular (purely cyclical) data in political science research.
We show that such data exist and are mishandled by models that do not take into account …

The concept of breakdown point was introduced by Hampel [Ph. D. dissertation (1968), Univ.
California, Berkeley; Ann. Math. Statist. 42 (1971) 1887–1896] and developed further by …

Three notions of depth for directional data, angular simplicial depth (ASD), angular Tukey's
depth (ATD) and arc distance depth (ADD), are developed and studied. The empirical …

First, we show that many robust estimates of regression which depend only on the
regression residuals (including M-, S-, Tau-, least median of squares-, least trimmed of …

The author addresses the problem of testing circular data for reflective symmetry about an
unknown central direction and proposes a simple omnibus test based on the sample second …

We provide a new definition of breakdown in finite samples, with an extension to asymptotic
breakdown. Previous definitions centre on defining a critical region for either the parameter …