Murdoch University Research Repository

Welcome to the Murdoch University Research Repository

The Murdoch University Research Repository is an open access digital collection of research
created by Murdoch University staff, researchers and postgraduate students.

Learn more

On locally uniform expansions of regular functionals

Bednarski, T. and Clarke, B.R.ORCID: 0000-0003-1419-0768 (1999) On locally uniform expansions of regular functionals. Discussiones Mathematicae: Algebra and Stochastic Methods, 19 . pp. 155-165.


The aim of this paper is to show that the concept of Fréchet differentiability of von Mises statistical functionals appears naturally in statistical inference if we impose, on “approximately" correct parametric models, regularity conditions similar to those typically used for the parametric inference. It is shown that a functional which is regular at a rich family of smooth parametric models containing F and for which the asymptotic limits satisfy a natural continuity property over shrinking Cramér von Mises neighbourhoods of F, is Fréchet differentiable at F for the Cramér von Mises norm.

Item Type: Journal Article
Murdoch Affiliation(s): School of Chemical and Mathematical Science
Publisher: University of Zielona Góra Press
Item Control Page Item Control Page