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040 _aMSU
_bEnglish
_cMSU
_erda
050 0 0 _aHB139.T52 ECO
100 1 _aRobinson, Peter
_eauthor
245 1 0 _aInference on nonparametrically trending time series with fractional errors
_ccreated by P. M. Robinson
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 6
520 3 _aThe central limit theorem for nonparametric kernel estimates of a smooth trend, with linearly-generated errors, indicates asymptotic independence and homoscedasticity across fixed points, irrespective of whether disturbances have short memory, long memory, or anti persistence. However, the asymptotic variance depends on the kernel function in a way that varies across these three circumstances, and in the latter two involves a double integral that cannot necessarily be evaluated in closed form. For a particular class of kernels, we obtain analytic formulae. We discuss extensions to more general settings, including ones involving possible cross-sectional or spatial dependence.
650 _aTime series analysis
_xEstimation theory
856 _uhttps://doi.org/10.1017/S0266466609990302
942 _2lcc
_cJA
999 _c164571
_d164571