 A Powerful Test for Changing Trends in Time Series ModelsJilin Wu and Zhijie Xiao Journal of Time Series Analysis, 2018, vol. 39, issue 4, 488-501 Abstract: We propose a non†parametric test for trend specification with improved properties. Many existing tests in the literature exhibit non†monotonic power. To deal with this problem, Juhl and Xiao proposed a non†parametric test with good power by detrending the data non†parametrically. However, their test is developed for smooth changing trends and is constructed under the assumption of correct specification in the dynamics. In addition, their test suffers from size distortion in finite samples and imposes restrictive assumptions on the variance structure. The current article tries to address these issues. First, the proposed test allows for both abrupt breaks and smooth structural changes in deterministic trends. Second, the test employs a sieve approach to avoid the misspecification problem. Third, the extended test can be applied to the data with conditional heteroskedasticity and time†varying variance. Fourth, the power properties under alternatives are also investigated. Finally, a partial plug†in method is proposed to alleviate size distortion. Monte Carlo simulations show that the new test not only has good size but also has monotonic power in finite samples. Date: 2018 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:bla:jtsera:v:39:y:2018:i:4:p:488-501 Ordering information: This journal article can be ordered from Access Statistics for this article Journal of Time Series Analysis is currently edited by M.B. Priestley More articles in Journal of Time Series Analysis from Wiley Blackwell |
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