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arXiv · 1312.5807

Block Sampling under Strong Dependence

Ting Zhang·Hwai-Chung Ho·Martin Wendler·Wei Biao Wu
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Abstract

The paper considers the block sampling method for long-range dependent processes. Our theory generalizes earlier ones by Hall, Jing and Lahiri (1998) on functionals of Gaussian processes and Nordman and Lahiri (2005) on linear processes. In particular, we allow nonlinear transforms of linear processes. Under suitable conditions on physical dependence measures, we prove the validity of the block sampling method. The problem of estimating the self-similar index is also studied.

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Ting Zhang, Hwai-Chung Ho, Martin Wendler, Wei Biao Wu. 2013-12-20. Block Sampling under Strong Dependence. https://arxiv.org/abs/1312.5807

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