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022 _a02664666
040 _aMSU
_bEnglish
_cMSU
_erda
050 0 0 _aHB139.T52 ECO
100 1 _aHarvey, David I.
_eauthor
245 1 0 _aUnit root testing in practice:
_bdealing with uncertainty over the trend and initial condition
_ccreated by David I. Harvey, Stephen J. Leybourne and A. M. Robert Taylor
264 1 _aCambridge:
_bCambridge University Press,
_c2009
336 _2rdacontent
_atext
_btxt
337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
_avolume
_bnc
440 _aEconometric theory
_vVolume 25, number 3
520 3 _aIn this paper we focus on two major issues that surround testing for a unit root in practice, namely, (i) uncertainty as to whether or not a linear deterministic trend is present in the data and (ii) uncertainty as to whether the initial condition of the process is (asymptotically) negligible or not. In each case simple testing procedures are proposed with the aim of maintaining good power properties across such uncertainties. For the first issue, if the initial condition is negligible, quasi-differenced (QD) detrended (demeaned) Dickey–Fuller-type unit root tests are near asymptotically efficient when a deterministic trend is (is not) present in the data generating process. Consequently, we compare a variety of strategies that aim to select the detrended variant when a trend is present, and the demeaned variant otherwise. Based on asymptotic and finite-sample evidence, we recommend a simple union of rejections-based decision rule whereby the unit root null hypothesis is rejected whenever either of the detrended or demeaned unit root tests yields a rejection. Our results show that this approach generally outperforms more sophisticated strategies based on auxiliary methods of trend detection. For the second issue, we again recommend a union of rejections decision rule, rejecting the unit root null if either of the QD or ordinary least squares (OLS) detrended/demeaned Dickey–Fuller-type tests rejects. This procedure is also shown to perform well in practice, simultaneously exploiting the superior power of the QD (OLS) detrended/demeaned test for small (large) initial conditions.
650 _aUnit root test
_vTrend uncertainty
_xInitial condition
650 _aAsymptotic power
_vUnion of rejections decision rule
700 1 _aLeybourne, Stephen J.
_eco author
700 1 _aTaylor, A. M. Robert
_eco author
856 _uhttps://doi.org/10.1017/S026646660809018X
942 _2lcc
_cJA
999 _c164518
_d164518