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Ratio Test for Persistence Change in Trending Time Series

Tingting Zhang

Abstract


This paper studies the testing problem for a persistence change from long memory to short memory in trending time series. A ratio statistic is constructed, and its limiting distribution is derived under the null hypothesis. Moreover, the consistency of the test statistic is
proved under the alternative hypothesis. Finally, Monte Carlo simulations are conducted. The results show that the proposed test can control
the empirical size well under the null hypothesis and has relatively high empirical power under the alternative hypothesis, which demonstrates
the feasibility of the testing method.

Keywords


Persistence change; Trending time series; Ratio test

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References


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DOI: http://dx.doi.org/10.70711/frim.v4i8.10011

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