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A test for weak stationarity in the spectral domain
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Hidalgo, Javier and Souza, Pedro C. L. (2019) A test for weak stationarity in the spectral domain. Econometric Theory, 35 (3). pp. 547-600. doi:10.1017/S0266466618000191 ISSN 0266-4666.
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Official URL: http://dx.doi.org/10.1017/S0266466618000191
Abstract
We examine a test for weak stationarity against alternatives that covers both local-stationarity and break point models. A key feature of the test is that its asymptotic distribution is a functional of the standard Brownian bridge sheet in [0,1]2, so that it does not depend on any unknown quantity. The test has nontrivial power against local alternatives converging to the null hypothesis at a T−1/2 rate, where T is the sample size. We also examine an easy-to-implement bootstrap analogue and present the finite sample performance in a Monte Carlo experiment. Finally, we implement the methodology to assess the stability of inflation dynamics in the United States and on a set of neuroscience tremor data.
Item Type: | Journal Article | ||||||||
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Subjects: | H Social Sciences > HB Economic Theory Q Science > QA Mathematics |
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Divisions: | Faculty of Social Sciences > Economics | ||||||||
Library of Congress Subject Headings (LCSH): | Time-series analysis, Asymptotic distribution (Probability theory) | ||||||||
Journal or Publication Title: | Econometric Theory | ||||||||
Publisher: | Cambridge University Press | ||||||||
ISSN: | 0266-4666 | ||||||||
Official Date: | June 2019 | ||||||||
Dates: |
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Volume: | 35 | ||||||||
Number: | 3 | ||||||||
Page Range: | pp. 547-600 | ||||||||
DOI: | 10.1017/S0266466618000191 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 26 November 2018 | ||||||||
Date of first compliant Open Access: | 26 November 2018 |
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