Authors
Seong Yeon Chang, Pierre Perron, Jiawen Xu
Publication date
2022/11/22
Journal
Journal of Statistical Computation and Simulation
Volume
92
Issue
17
Pages
3561-3582
Publisher
Taylor & Francis
Description
We provide tests to perform inference on the coefficient of a linear trend assuming the noise to be a fractionally integrated process with memory parameter excluding the boundary case 0.5 by applying a quasi-generalized least-squares procedure using d-differences of the data. Doing so, the asymptotic distribution of the ordinary least-squares estimators applied to quasi-differenced data and their t-statistics are unaffected by the value of d and have a normal limiting distribution. We present simulation results about the size and power of the tests in finite samples and illustrate their usefulness via applications to the US equity indices. We also use our method of proof to consider generalizing the main result of Iacone, Leybourne and Taylor [Testing for a break in trend when the order of integration is unknown. J Econom. 2013;176:30–45] for .
Scholar articles
SY Chang, P Perron, J Xu - Journal of Statistical Computation and Simulation, 2022