Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics Template

Martin W. Liebeck, Cheryl E. Praeger, Jan Saxl · 1 Jun 1988

Abstract We give a self-contained proof of the O'Nan-Scott Theorem for finite primitive permutation groups.

Paul Embrechts, Charles M. Goldie · 1 Mar 1980

Abstract For a distribution function F on [0, ∞] we say F ∈ if {1 – F (2) ( x )}/{1 – F ( x )}→2 as x →∞, and F ∈ , if for some fixed γ > 0, and for each real , lim x→∞ {1 – F ( x + y )}/{1…

Michael Cowling, Ian Doust, Alan Micintosh et al. · 1 Feb 1996

Abstract In this paper, we give a general definition for f(T) when T is a linear operator acting in a Banach space, whose spectrum lies within some sector, and which satisfies certain resolvent bounds, and when f is holomorphic on a larger sector. We also examine how certain properties of this functional calculus, such as…

Laurens de Haan, Ulrich Stadtmüller · 1 Dec 1996

Abstract Assume that for a measurable funcion f on (0, ∞) there exist a positive auxiliary function a(t) and some γ ∈ R such that . Then f is said to be of generalized regular variation. In order to control the asymptotic behaviour of certain estimators for distributions in extreme value theory we are led…

Harri Kiiveri, Terence P. Speed, John B. Carlin · 1 Feb 1984

Abstract The notion of a recursive causal graph is introduced, hopefully capturing the essential aspects of the path diagrams usually associated with recursive causal models. We describe the conditional independence constraints which such graphs are meant to embody and prove a theorem relating the fulfilment of these constraints by a probability distribution to a particular…