Large Sample Properties of Generalized Method of Moments Estimators

Large Sample Properties of Generalized Method of Moments Estimators

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1、LargeSamplePropertiesofGeneralizedMethodofMomentsEstimatorsAuthor(s):LarsPeterHansenReviewedwork(s):Source:Econometrica,Vol.50,No.4(Jul.,1982),pp.1029-1054Publishedby:TheEconometricSocietyStableURL:http://www.jstor.org/stable/1912775.Accessed:14/03/201221:45YouruseoftheJSTORarchiveindica

2、tesyouracceptanceoftheTerms&ConditionsofUse,availableat.http://www.jstor.org/page/info/about/policies/terms.jspJSTORisanot-for-profitservicethathelpsscholars,researchers,andstudentsdiscover,use,andbuilduponawiderangeofcontentinatrusteddigitalarchive.Weuseinformationtechnologyandtoolstoin

3、creaseproductivityandfacilitatenewformsofscholarship.FormoreinformationaboutJSTOR,pleasecontactsupport@jstor.org.TheEconometricSocietyiscollaboratingwithJSTORtodigitize,preserveandextendaccesstoEconometrica.http://www.jstor.orgEconometrica,Vol.50,No.4(July,1982)LARGESAMPLEPROPERTIESOFGEN

4、ERALIZEDMETHODOFMOMENTSESTIMATORS1BYLARSPETERHANSENThispaperstudiesestimatorsthatmakesampleanaloguesofpopulationorthogonalityconditionsclosetozero.Strongconsistencyandasymptoticnormalityofsuchestimatorsisestablishedundertheassumptionthattheobservablevariablesarestationaryandergodic.Since

5、manylinearandnonlineareconometricestimatorsresidewithintheclassofestima-torsstudiedinthispaper,aconvenientsummaryofthelargesamplepropertiesoftheseestimators,includingsomewhoselargesamplepropertieshavenotheretoforebeendiscussed,isprovided.1.INTRODUCTIONINTHISPAPERwestudythelargesampleprop

6、ertiesofaclassofgeneralizedmethodofmoments(GMM)estimatorswhichsubsumesmanystandardecono-metricestimators.Tomotivatethisclass,consideraneconometricmodelwhoseparametervectorwewishtoestimate.Themodelimpliesafamilyoforthogonal-ityconditionsthatembedanyeconomictheoreticalrestrictionsthatwewis

7、htoimposeortest.Forexample,assumptionsthatcertainequationsdefineprojec-tionsorthatparticularvariablesarepredeterminedgiverisetoorthogonalityconditionsinwhichexpectedcrossproductsofunobservabledisturbancesandfunctionsofobservablevariablesareequatedtozero.Heuristically,iden

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