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Truncating Estimation for the Mean Change Point in Heavy-Tailed Dependent Panel Data

Tingting Zhang*, Chang Chang

Abstract


This article considers the problem of a mean change point in heavy-tailed dependent panel data. In the case of infinite variance, the
CUSUM method is used to propose a truncated estimation of the change point, so that the estimated result will not be affected by the “singular”
points in the initial sequence. We obtain a generalized Hájek-Rényi type inequality. The consistency and the rate of convergence for the estimated change point are established.

Keywords


Heavy-Tails; Panel Data; Mean Change Point; Truncating Estimation

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References


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DOI: http://dx.doi.org/10.18686/fm.v10i1.13935

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