, Volume 76, Issue 6, pp 733-764
Date: 30 Oct 2012

Local block bootstrap inference for trending time series

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Abstract

Resampling for stationary sequences has been well studied in the last couple of decades. In the paper at hand, we focus on nonstationary time series data where the nonstationarity is due to a slowly-changing deterministic trend. We show that the local block bootstrap methodology is appropriate for inference under this locally stationary setting without the need of detrending the data. We prove the asymptotic consistency of the local block bootstrap in the smooth trend model, and complement the theoretical results by a finite-sample simulation.

Research partially supported by NSF grant DMS-10-07513. Many thanks are due to the expert referee whose comments and suggestions greatly helped in improving the paper.