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Block wild bootstrap-based CUSUM tests robust to high persistence and misspecification

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  • Lee, Taewook
  • Baek, Changryong

Abstract

It is well-known that the conventional CUSUM tests are over-sized in the presence of high persistence and misspecification. In this article, we propose a block wild bootstrap-based CUSUM test (CUSUM-BWB) for detecting changes in mean and variance shifts under possible high persistence and misspecification. We establish the asymptotic properties of the proposed test and our simulation study shows that CUSUM-BWB tests achieve the correct sizes and comparable powers in finite samples. Our method is also applied to the realized volatility of the KOSPI stock index.

Suggested Citation

  • Lee, Taewook & Baek, Changryong, 2020. "Block wild bootstrap-based CUSUM tests robust to high persistence and misspecification," Computational Statistics & Data Analysis, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:csdana:v:150:y:2020:i:c:s0167947320300876
    DOI: 10.1016/j.csda.2020.106996
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    References listed on IDEAS

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