Abstract #302330

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JSM 2003 Abstract #302330
Activity Number: 244
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #302330
Title: Unit Root Testing via the Stationary Bootstrap
Author(s): Cameron Parker*+ and Dimitris N. Politis
Companies: University of California, San Diego and University of California, San Diego
Address: 9176-1 Regents Rd., La Jolla, CA, 92093,
Keywords: integrated time series ; resampling ; stationary bootstrap ; unit root testing
Abstract:

A nonparametric, residual-based stationary bootstrap procedure is proposed for testing for the presence of a unit root in a given time series. The procedure gives a way of generating a pseudoseries which mimics the original in terms of dependence structure but that has the property of ensuring the presence of a unit root. The proposed test has an advantage over many others in the literature in that it is valid for a wide class of weakly dependent processes and is not based on any parametric assumptions on the data generating process. In addition, our bootstrap methodology is valid for a very general class of test statistics. Large sample theory is developed and the asymptotic validity of the test is shown via a bootstrap functional limit theorem. The particular case of a least squares statistic is discussed in detail, and simulations to investigate the sample performance of the procedure are performed in this case.


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