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tail equivalent


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1 عمومی:: دم معادل

Under appropriate conditions it will turn out that the stationary distribution of Y is subexponential and tail-equivalent to f (tU )L(1) for some t > 0 and an uniform r. v. Proofs are based on the fact that Lévy measures and their cor- responding distribution functions are tail-equivalent in the subexponential case and Rosinski and Samorodnitsky [132]. The class S is closed under tail-equivalence, i. e. if F ∈ S and G is a d. f. with limx→∞ F (x)/G(x) = q ∈ (0, ∞), then also G ∈ S. Hence F is tail-equivalent to an absolutely continuous d. f. Finally, in Proposition 1.2.5 we investigate the point process behavior of a sum of two subexponential sequences, which are tail-equivalent.

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