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regular variation subordination infinite divisibility 1
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Omey, E. 1 Willekens, E. 1
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Stochastic Processes and their Applications 1
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Second order behaviour of the tail of a subordinated probability distribution
Omey, E.; Willekens, E. - In: Stochastic Processes and their Applications 21 (1986) 2, pp. 339-353
Let G = [Sigma][infinity]n=0pnF*n denote the probability measure subordinate to F with subordinator {Pn}. We investigate the asymptotic behaviour of (1 - G(x))-([Sigma] npn)(1 - F(x)) as x -- [infinity] if 1 - F is regularly varying with index [varrho], 0 = [varrho] = 1. Applications to random...
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