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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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