A Remark on Weak Tracial Approximation

A Remark on Approximation on Totally Real Sets

We give a new proof of a theorem on approximation of continuous functions on totally real sets.

A weak approximation for the Extrema's distributions of Levy processes

‎Suppose that $X_{t}$ is a one-dimensional and real-valued L'evy‎ ‎process started from $X_0=0$‎, ‎which ({bf 1}) its nonnegative‎ ‎jumps measure $nu$ satisfying $int_{Bbb‎ ‎R}min{1,x^2}nu(dx)

A REMARK ON ROBUSTNESS AND WEAK CONTINUITY OF M-ESTEVtATORS

Global weak continuity of M-functionals in a neighbourhood of the parametric distribution is established. This has implications for robustness of M-estimators vis a vis definitions put forward by Hampel. For instance the Tukey bisquare location estimator is robust on neighbourhoods of the parametric model, but the median is not. 2000 Mathematics subject classification: primary 62G35; secondary ...

A remark on localized weak precompactness in Banach spaces

We give a characterization of K-weakly precompact sets in terms of uniform Gateaux differentiability of certain continuous convex functions.

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem