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Incorporating a change-point estimator when bootstrapping the empirical distribution of a stationary process

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  • B. Gail Ivanoff
  • Neville C. Weber

Abstract

The moving block bootstrap can be used to determine critical values for test statistics used to detect a change-point in the marginal distribution of a stationary time series. We examine the impact of incorporating an estimator of the change-point when centering the bootstrap blocks and establish conditions under which the bootstrapped test statistics remain stochastically bounded regardless of whether or not a change is present.

Suggested Citation

  • B. Gail Ivanoff & Neville C. Weber, 2022. "Incorporating a change-point estimator when bootstrapping the empirical distribution of a stationary process," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(9), pages 2765-2782, March.
  • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:9:p:2765-2782
    DOI: 10.1080/03610926.2020.1780260
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