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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

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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
Subjects: H Social Sciences > HB Economic Theory
Q Science > QA Mathematics
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:
DateEvent
June 2019Published
20 July 2018Available
13 July 2018Accepted
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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