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Short-range dependent processes subordinated to the Gaussian may not be strong mixing

Shuyang Bai and Murad S. Taqqu

Statistics & Probability Letters, 2016, vol. 110, issue C, 198-200

Abstract: There are all kinds of weak dependence. For example, strong mixing. Short-range dependence (SRD) is also a form of weak dependence. It occurs in the context of processes that are subordinated to the Gaussian. Is a SRD process strong mixing if the underlying Gaussian process is long-range dependent? We show that this is not necessarily the case.

Keywords: Long-range dependence; Short-range dependence; Hermite rank; Strong mixing (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1016/j.spl.2015.12.010

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