A bootstrap approximation to a unit root test statistic for heavy-tailed observations
AbstractIn the context of the AR(1) model with innovations in the domain of attraction of an [alpha]-stable law, we develop a residual bootstrap approximation to the distribution of a least-squares estimator of the autoregressive parameter when this parameter is equal to unity. Our procedure requires drawing bootstrap samples of size m [infinity] and m/n-->0. An analogous result is established for the partial sum process of the bootstrap noise sequence.
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Bibliographic InfoArticle provided by Elsevier in its journal Statistics & Probability Letters.
Volume (Year): 62 (2003)
Issue (Month): 2 (April)
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