On robust testing for trend

Anton Skrobotov ()

Economics Letters, 2022, vol. 212, issue C

Abstract: This paper provides a simple approach for robust testing for the trend function in the time series under uncertainty over the order of integration of the error term. The proposed approach relies on the asymptotic normality of the trend coefficient estimator and utilizes t-statistic approach of Ibragimov and Müller (2010) based on splitting the sample. The Monte-Carlo results demonstrate that the approach has the correct finite sample size and favorable finite sample power properties for all data generating processes considered. The proposed approach is robust to very general assumptions on the error term including various forms of non-stationary volatility and heavy tails

Keywords: Robust inference; Linear trend; Asymptotic normality; Heterogeneous errors; Nonstationarity (search for similar items in EconPapers)
JEL-codes: C12 C22 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:212:y:2022:i:c:s0165176522000040

DOI: 10.1016/j.econlet.2022.110276

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