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The tapered block bootstrap for general statistics from stationary sequences

Efstathios Paparoditis () and Dimitris N. Politis ()
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Efstathios Paparoditis: Department of Mathematics and Statistics, University of Cyprus
Dimitris N. Politis: Department of Mathematics, University of California-San Diego, USA

Econometrics Journal, 2002, vol. 5, issue 1, 131-148

Abstract: In this paper, we define and study a new block bootstrap variation, the "tapered" block bootstrap, that is applicable in the general case of approximately linear statistics, and constitutes an improvement over the original block bootstrap of Künsch (1989). The asymptotic validity, and the favorable bias properties of the tapered block bootstrap are shown in two important cases: smooth functions of means, and "M"-estimators. The important practical issues of optimally choosing the window shape and the block size are addressed in detail, while some finite-sample simulations are also presented. Copyright Royal Economic Society 2002

Date: 2002
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