000 01936nam a22002417a 4500
003 ZW-GwMSU
005 20240322085848.0
008 240322b |||||||| |||| 00| 0 eng d
022 _a02664666
040 _aMSU
_bEnglish
_cMSU
_erda
050 0 0 _aHB139.T52 ECO
100 _aEscanciano, J. Carlos
_eauthor
245 _aOn the lack of power of omnibus specification tests
_ccreated by J. Carlos Escanciano
264 _aCambridge:
_bCambridge University Press,
_c2009.
336 _2rdacontent
_atext
_btxt
337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
_avolume
_bnc
440 _aEconometric theory
_vVolume 25, number 1
520 3 _aDesigned to have power against all alternatives, omnibus consistent tests are the primary econometric tools for testing the correct specification of parametric conditional means when there is no information about the possible alternative. The main purpose of this paper is to show that, contrary to what is generally believed, omnibus specification tests only have substantial local power against alternatives in a finite-dimensional space (usually unknown to the researcher). We call such a space the principal space. We characterize and estimate the principal space for Cramér–von Mises tests. These results are some of the by-products of a detailed theoretical power analysis carried out in the paper. This investigation focuses on the class of the so-called integrated consistent tests under possibly heteroskedastic time series. A Monte Carlo experiment examines the finite-sample properties of tests and estimators of preferred alternatives. Finally, an application of our theory to test the martingale difference hypothesis of some exchange rates provides new information on the rejection of omnibus tests and illustrates our findings.
650 _aScientific modelling
_xStatistical test
856 _uhttps://doi.org/10.1017/S0266466608090051
942 _2lcc
_cJA
999 _c164497
_d164497