000 02163nam a22002537a 4500
003 ZW-GwMSU
005 20240327095713.0
008 240327b |||||||| |||| 00| 0 eng d
040 _aMSU
_bEnglish
_cMSU
_erda
050 0 0 _aHB139.T52 ECO
100 1 _aHarvey,David I.
_eauthor
245 1 0 _aSimple, robust, and powerful tests of the breaking trend hypothesis
_cby 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 4
520 _aIn this paper we develop a simple procedure which delivers tests for the presence of a broken trend in a univariate time series which do not require knowledge of the form of serial correlation in the data and are robust as to whether the shocks are generated by an I(0) or an I(1) process. Two trend break models are considered: the first holds the level fixed while allowing the trend to break, while the latter allows for a simultaneous break in level and trend. For the known break date case our proposed tests are formed as a weighted average of the optimal tests appropriate for I(0) and I(1) shocks. The weighted statistics are shown to have standard normal limiting null distributions and to attain the Gaussian asymptotic local power envelope, in each case regardless of whether the shocks are I(0) or I(1). In the unknown break date case we adopt the method of Andrews (1993) and take a weighted average of the statistics formed as the supremum over all possible break dates, subject to a trimming parameter, in both the I(0) and I(1) environments. Monte Carlo evidence suggests that our tests are in most cases more powerful, often substantially so, than the robust broken trend tests of Sayginsoy and Vogelsang (2004). An empirical application highlights the practical usefulness of our proposed tests.
650 _aTime series analysis
700 _aLeybourne, Stephen J.
700 _aTaylor, A. M. Robert
856 _u10.1017/S0266466608090373
942 _2lcc
_cJA
999 _c164580
_d164580