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2004-12-02
英文文献:On critical cases in limit theory for stationary increments Lévy driven moving averages
英文文献作者:Andreas Basse-O'Connor,Mark Podolskij
英文文献摘要:
In this paper we present some limit theorems for power variation of stationary increments Lévy driven moving averages in the setting of critical regimes. In [5] the authors derived first and second order asymptotic results for k-th order increments of stationary increments Lévy driven moving averages. The limit theory heavily depends on the interplay between the given order of the increments, the considered power, the Blumenthal-Getoor index of the driving pure jump Lévy process L and the behavior of the kernel function g at 0. In this work we will study the critical cases, which were not covered in the original work [5].
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