Abstract

AbstractThe class of subexponential distributionsSis characterized byF(0) = 0, 1 −F(2)(x) ~ 2(1 −F(x)) asx→ ∞. In this paper we consider a subclass ofSfor which the relation 1 −F(2)(x) − 2(1 −F(x)) + (1 −F(x))2=o(a(x)) asx→ ∞ holds, where α is a positive function satisfying α(X) = 0(1 −F(x)) (x→ ∞).

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