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1、GMMEstimationofShortDynamicPanelDataModelswithInteractiveFixedEffectsKazuhikoHayakawaDepartmentofEconomics,HiroshimaUniversityNovember21,2012AbstractInthispaper,weproposeGMMestimatorsforshortdynamicpaneldatamodelswithinteractivefixedeffects.Momentconditionsareobtainedforthemodelwheretheproje
2、ctionmethodisappliedtoremovethecorrelationbetweenregressorsandinteractivefixedeffects.MonteCarlosimulationshowsthattheproposedGMMestimatorsperformreasonablywellinfinitesample.keywords:paneldata,interactivefixedeffects,factorstructure,GMM.Theauthorisdeeplygratefultotworeferees,TakuYamamoto,Eiji
3、Kurozumi,HiroakiChigira,HosungJungandAsukaTakeuchiforhelpfulcomments.PartofthispaperwaswrittenwhiletheauthorwasvisitingtheUniversityofCambridgeasaJSPSPostdoctoralFellowforResearchAbroad.TheauthoristhankfultoHashemPesaranforhissupport.FinancialsupportfromtheJSPSFellowshipandKAKENHI(22730178
4、)isalsogratefullyacknowledged.Allremainingerrorsaremyown.1Electroniccopyavailableat:http://ssrn.com/abstract=14120831IntroductionRecently,theuseofpaneldatahasbeenincreasinginempiricalstudiesofeconomicproblems.Abasicmodelforpaneldataisgivenby′yit=βxit+i+t+vit(i=1;;N;t=1;;T)(1)whereβa
5、ndxitareKdimensionalvectors.Theindexidenotescross-sectionalunitandtheindextdenotestimeperiod.iandtareunobservedindividualandtimeeffects,respectively,whicharetypicalforpanelmodels.vitisanidiosyncraticerrorterm.Thismodelhasbeenwidelyusedinempiricalstudies1.Ifweregardastheparameterstobeestim
6、ated,themodeli(1)iscalledasthefixedeffectsmodelandtheordinaryleastsquares(OLS)estimatorofβisknownasthewithin-groups(WG)estimator2.Ontheotherhand,ifweregardasapartiofthedisturbance,themodel(1)iscalledastherandomeffectsmodel,andthegeneralizedleastsquares(GLS)estimatorisusuallyused.Themostimpor
7、tantdifferencebetweenthesetwoestimatorsisthattheWGestimatorisconsistentevenifiiscorrelatedwithxit,whileitisnotthecasefortheGLSestimator.Although,thesetwoestimatorsarewidelyusedinempiricalstudies,themodel(1)issome-whatrestrictive.Forinstance,ifthetimeeffecttdeno