Template-Type: ReDIF-Paper 1.0 Author-Name: Geluk, J.L. Author-Name-Last: Geluk Author-Name-First: Jaap Title: Asymptotics in the symmetrization inequality Abstract: We give a sufficient condition for i.i.d. random variables X1,X2 in order to have P{X1-X2>x} ~ P{|X1|>x} as x tends to infinity. A factorization property for subexponential distributions is used in the proof. In a subsequent paper the results will be applied to model fragility of financial markets. Creation-Date: 2003-08-07 File-URL: https://repub.eur.nl/pub/1055/ei200344.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI 2003-44 Keywords: convolution, heavy tails, subexponentiality, symmetrization Handle: RePEc:ems:eureir:1055