Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/17083
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dc.contributor.authorIp, WCen_US
dc.contributor.authorWong, Hen_US
dc.contributor.authorZhang, Ren_US
dc.date.accessioned2015-05-26T08:09:57Z-
dc.date.available2015-05-26T08:09:57Z-
dc.date.issued2007-
dc.identifier.citationComputational statistics and data analysis, 2007, v. 51, no. 9, p. 4543-4561en_US
dc.identifier.urihttp://hdl.handle.net/10397/17083-
dc.description.abstractVarying-coefficient models are popular multivariate nonparametric fitting techniques. When all coefficient functions in a varying-coefficient model share the same smoothing variable, inference tools available include the F-test, the sieve empirical likelihood ratio test and the generalized likelihood ratio (GLR) test. However, when the coefficient functions have different smoothing variables, these tools cannot be used directly to make inferences on the model because of the differences in the process of estimating the functions. In this paper, the GLR test is extended to models of the latter case by the efficient estimators of these coefficient functions. Under the null hypothesis the new proposed GLR test follows the χ2-distribution asymptotically with scale constant and degree of freedom independent of the nuisance parameters, known as Wilks phenomenon. Further, we have derived its asymptotic power which is shown to achieve the optimal rate of convergence for nonparametric hypothesis testing. A simulation study is conducted to evaluate the test procedure empirically.en_US
dc.description.sponsorshipDepartment of Applied Mathematicsen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofComputational Statistics and Data Analysisen_US
dc.subjectDifferent smoothing variablesen_US
dc.subjectEfficient estimatoren_US
dc.subjectGeneralized likelihood ratio testen_US
dc.subjectVarying-coefficient modelsen_US
dc.subjectWilks phenomenonen_US
dc.titleGeneralized likelihood ratio test for varying-coefficient models with different smoothing variablesen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage4543-
dc.identifier.epage4561-
dc.identifier.volume51-
dc.identifier.issue9-
dc.identifier.doi10.1016/j.csda.2006.07.027-
dc.identifier.isiWOS:000246606000033-
dc.identifier.scopus2-s2.0-34147179996-
dc.identifier.rosgroupidr31975-
dc.description.ros2006-2007 > Academic research: refereed > Publication in refereed journal-
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