Precise Asymptotics for the Moment Convergence of Moving-average Process under Dependence

نویسندگان

  • Qing-Pei Zang
  • Ke-Ang Fu
چکیده

Let {εi : −∞ < i < ∞} be a strictly stationary sequence of linearly positive quadrant dependent random variables and P∞ i=−∞ |ai| < ∞. In this paper, we prove the precise asymptotics in the law of iterated logarithm for the moment convergence of moving-average process of the form Xk = P∞ i=−∞ ai+kεi, k ≥ 1.

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تاریخ انتشار 2010