Article

Metrika

, Volume 76, Issue 6, pp 733-764

Local block bootstrap inference for trending time series

  • Arif DowlaAffiliated withStochastic Logic Ltd.
  • , Efstathios PaparoditisAffiliated withDepartment of Mathematics and Statistics, University of Cyprus
  • , Dimitris N. PolitisAffiliated withDepartment of Mathematics, University of California Email author 

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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.

Keywords

Bootstrap Dependent data Kernel smoothing Local stationarity Regression