This document is discoverable and free to researchers across the globe due to the work of
AgEcon Search. Help ensure our sustain Page 1 Give to AgEcon Search The World’s Largest …

Abstract top CONTENTS0. Introduction............................................................................. 51.
Submultiplicative functions and indices................................... 72. Indices of measurable …

For iid observations from a common distribution F with regularly varying tail, a popular
estimator of α is the Hill estimator. Regular variation of the distribution tail is equivalent to …

A generalization of regular variation is discussed which is intermediate to extended regular
variation and O‐regular variation. Analogous to this intermediate regular variation is …

Rates of convergence are derived for the convergence in distribution of renormalised
sample maxima to the appropriate extreme-value distribution. Related questions which are …

A PROPERTY OF LONGTAILED DISTRIBUTIONS 1. Introduction Suppose F is a distribution
function (df) with F(O+)= 0 and finite mean Page 1 J. Appl. Probe 21, 80-87 (1984) Printed in …

The key vehicle of the recent development of a topological theory of regular variation based
on topological dynamics [BOst-TRI], and embracing its classical univariate counterpart …

Dominated Variation and Related Concepts and Tau berian Theorems for Laplace
Transforms ~W=~o~ e -“’ dU(u) = t lam e -“,( Page 1 JOURNAL OF MATHEMATICAL …

Suppose that {Xn: n≥ 1} are independent and identically distributed random variables with
common continuous distribution function F. Set Sn= X1+…+ Xn and Mn= Vn 1 Xi, and let Xn …

We study the interplay between additivity (as in the Cauchy functional equation),
subadditivity and linearity. We obtain automatic continuity results in which additive or …