标题：A Powerful Test for Changing Trends in Time Series Models
作者：Wu, Jilin; Xiao, Zhijie
作者机构：[Wu, Jilin] Shandong Univ, Ctr Econ Res, Jinan, Shandong, Peoples R China.; [Xiao, Zhijie] Boston Coll, Dept Econ, Chestnut Hill, MA 02467 USA.
通讯作者地址：[Xiao, ZJ]Boston Coll, Dept Econ, Chestnut Hill, MA 02467 USA.
来源：JOURNAL OF TIME SERIES ANALYSIS
关键词：non-monotonic power; structural change; bandwidth selection; local power
摘要：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.