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Panel Data Econometrics Panel Data Econometrics Empirical Applications Edited By Mike Tsionas AcademicPressisanimprintofElsevier 125LondonWall,LondonEC2Y5AS,UnitedKingdom 525BStreet,Suite1650,SanDiego,CA92101,UnitedStates 50HampshireStreet,5thFloor,Cambridge,MA02139,UnitedStates TheBoulevard,LangfordLane,Kidlington,OxfordOX51GB,UnitedKingdom ©2019ElsevierInc.Allrightsreserved. Nopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeans, electronicormechanical,includingphotocopying,recording,oranyinformationstorageand retrievalsystem,withoutpermissioninwritingfromthepublisher.Detailsonhowtoseek permission,furtherinformationaboutthePublisher’spermissionspoliciesandour arrangementswithorganizationssuchastheCopyrightClearanceCenterandtheCopyright LicensingAgency,canbefoundatourwebsite:www.elsevier.com/permissions. Thisbookandtheindividualcontributionscontainedinitareprotectedundercopyrightbythe Publisher(otherthanasmaybenotedherein). Notices Knowledgeandbestpracticeinthisfieldareconstantlychanging.Asnewresearchandexperience broadenourunderstanding,changesinresearchmethods,professionalpractices,ormedical treatmentmaybecomenecessary. Practitionersandresearchersmustalwaysrelyontheirownexperienceandknowledgein evaluatingandusinganyinformation,methods,compounds,orexperimentsdescribedherein. Inusingsuchinformationormethodstheyshouldbemindfuloftheirownsafetyandthesafety ofothers,includingpartiesforwhomtheyhaveaprofessionalresponsibility. Tothefullestextentofthelaw,neitherthePublishernortheauthors,contributors,oreditors, assumeanyliabilityforanyinjuryand/ordamagetopersonsorpropertyasamatterof productsliability,negligenceorotherwise,orfromanyuseoroperationofanymethods, products,instructions,orideascontainedinthematerialherein. LibraryofCongressCataloging-in-PublicationData AcatalogrecordforthisbookisavailablefromtheLibraryofCongress BritishLibraryCataloguing-in-PublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary ISBN978-0-12-815859-3 ForinformationonallAcademicPresspublications visitourwebsiteathttps://www.elsevier.com/books-and-journals Publisher:CandiceJanco AcquisitionEditor:ScottBentley EditorialProjectManager:SusanIkeda ProductionProjectManager:MariaBernard CoverDesigner:MilesHitchen TypesetbySPiGlobal,India Contributors Numbersinparaenthesesindicatethepagesonwhichtheauthors’contrbutionsbegin. PaulD.Allison(547),UniversityofPennsylvania,Philadelphia,PA,UnitedStates SofiaAnyfantaki(865),AthensUniversityofEconomicsandBusiness;BankofGreece, Athens,Greece ScottE.Atkinson(495),DepartmentofEconomics,UniversityofGeorgia,Athens,GA, UnitedStates MichaelaBenzeval(709),InstituteforSocialandEconomicResearch,Universityof Essex,Colchester,UnitedKingdom KeshabBhattarai(665),UniversityofHullBusinesSchool,Hull,UnitedKingdom AndradaBilan(743),UniversityofZurichandSwissFinanceInstitute,Z€urich, Switzerland ApostolosDavillas(709),InstituteforSocialandEconomicResearch,Universityof Essex,Colchester,UnitedKingdom JandeDreu(839),BBVA,GlobalDebtAdvisory,CiudadBBVa,Madrid,Spain HansDegryse(743),KULeuven,Leuven,Belgium;CEPR,Washington,DC,United States DongDing(405),DepartmentofEconomics,RiceUniversity,Houston,TX,UnitedStates KyriakosDrivas(771),DepartmentofInternational&EuropeanEconomicStudies, AthensUniversityofEconomicsandBusiness,Athens,Greece ClaireEconomidou(771),DepartmentofEconomics,UniversityofPiraeus,Piraeus, Greece AlmasHeshmati(885,931),DepartmentofEconomics,SogangUniversity,Seoul,South Korea DavidHumphrey(609),FloridaStateUniversity,Tallahassee,FL,UnitedStates VassoIoannidou(839),AccountingandFinanceDepartment,LancasterUniversity ManagementSchool,Lancaster,UnitedKingdom GeraintJohnes(467),LancasterUniversityManagementSchool,LancasterUniversity, Lancaster,UnitedKingdom JillJohnes(467),HuddersfieldBusinessSchool,UniversityofHuddersfield, Huddersfield,UnitedKingdom AndrewM.Jones(709),DepartmentofEconomicsandRelatedStudies,Universityof York,York,UnitedKingdom;CentreforHealthEconomics,MonashUniversity, Clayton,VIC,Australia xiii xiv Contributors SarantisKalyvitis(865),AthensUniversityofEconomicsandBusiness,Athens,Greece MargaritaKatsimi(865),AthensUniversityofEconomicsandBusiness,Athens,Greece CESifo,Munich,Germany NamSeokKim(885),DepartmentofEconomics,MaxwellSchoolofCitizenshipand PublicAffairs,SyracuseUniversity,Syracuse,NY,UnitedStates KonstantinosN.Konstantakis(953),NationalTechnicalUniversityofAthens,Athens, Greece GeorgiaKosmopoulou(521),UniversityofOklahoma,Norman,OK,UnitedStates EsfandiarMaasoumi(931),DepartmentofEconomics,EmoryUniversity,Atlanta, GA,UnitedStates E.C.Mamatzakis(801),UniversityofSussexBusinessSchool,UniversityofSussex, Brighton,UnitedKingdom RicoMerkert(583),TheUniversityofSydneyBusinessSchool,NSW,Sydney,Australia PanayotisG.Michaelides(953),NationalTechnicalUniversityofAthens,Athens, Greece EnriqueMoral-Benito(547),BankofSpain,Madrid,Spain CorinneMulley(583),TheUniversityofSydneyBusinessSchool,NSW,Sydney, Australia DanielNedelescu(521),UniversityofOklahoma,Norman,OK,UnitedStates KuchulainO’Flynn(743),UniversityofZurichandSwissFinanceInstitute,Z€urich, Switzerland StevenOngena(743),UniversityofZurichandSwissFinanceInstitute,Z€urich, Switzerland;KULeuven,Leuven,Belgium;CEPR,Washington,DC,UnitedStates FletcherRehbein(521),UniversityofOklahoma,Norman,OK,UnitedStates RobinC.Sickles(405),DepartmentofEconomics,RiceUniversity,Houston,TX, UnitedStates ChristophSiebenbrunner(639),UniversityofOxford,MathematicalInstitute; InstituteforNewEconomicThinking,Oxford,UnitedKingdom MichaelSigmund(639),OesterreichischeNationalbank(OeNB),Vienna,Austria C.Staikouras(801),SchoolofBusinessAdministration,AthensUniversityof EconomicsandBusiness,Athens,Greece BiweiSu(931),DepartmentofEconomics,SogangUniversity,Seoul,SouthKorea EiriniThomaidou(865),AthensUniversityofEconomicsandBusiness,Athens,Greece MikeG.Tsionas(771,801,953),DepartmentofEconomics,LancasterUniversity ManagementSchool,Lancaster,UnitedKingdom RichardWilliams(547),UniversityofNotreDame,NotreDame,IN,UnitedStates General Introduction Panel data always have been at the center of econometric research and have been used extensively in applied economic research to refute a variety of hypotheses. The chapters in these two volumes represent, to a large extent, muchofwhathasbeenaccomplishedintheprofessionduringthelastfewyears. Naturally,thisisaselectivepresentationandmanyimportanttopicshavebeen left out because of space limitations. The books cited at the end of this Intro- duction, however, are well known and provide more details about specific topics.Thecoverageextendsfromfixedandrandomeffectformulationstonon- linear models and cointegration. Such themes have been instrumental in the development of modern theoretical andapplied econometrics. Paneldataareusedquiteofteninapplications,asweseeinVolume2ofthis book.Therangeofapplicationsisvast,extendingfromindustrialorganization andlaboreconomicstogrowth,development,health,banking,andthemeasure- ment of productivity. Although panel data provide more degrees of freedom, their proper use is challenging. The modeling of heterogeneity cannot be exhausted to fixed and random effect formulations, and slope heterogeneity has to be considered. Dynamic formulations are highly desirable, but they are challenging both because of estimation issues and because unit roots and cointegrationcannotbeignored.Moreover,causalityissuesfigureprominently, althoughtheyseemtohavereceivedlessattentionrelativetotime-seriesecono- metrics.Relativetotime-seriesorcross-sections,thedevelopmentofspecifica- tion tests for panel data seems to have been slower than usual. Thechaptersinthesetwovolumesshowthegreatpotentialofpaneldatafor both theoretical and applied research. There are more opportunities as more problems arise, particularly when practitioners and economic theorists get together todiscuss the empirical refutation oftheir theories orconjectures.In myview,opportunitiesarelikelytoarisefromthreedifferentareas:theinter- actionofeconometricswithgametheoryandindustrialorganization;theprom- inence of both nonparametric and Bayesian techniques in econometrics; and structural models that explain heterogeneity beyond the familiar paradigm of fixed/randomeffects. 1. Detailed Presentation In Chapter 1, Stephen Hall provides background material about econometric methods that is useful in making thisvolume self-contained. In Chapter 2, Jeffrey M. Wooldridge and Wei Lin study testing and est- imation in panel data models with two potential sources of endogeneity: that xv xvi GeneralIntroduction because ofcorrelation ofcovariateswith time-constant, unobserved heteroge- neity and that because of correlation of covariates with time-varying idiosyn- cratic errors. In the linear case, they show that two control function approachesallowustotestexogeneitywithrespecttotheidiosyncraticerrors whilebeingsilentonexogeneitywithrespecttoheterogeneity.Thelinearcase suggests a general approach for nonlinear models. The authors consider two leading cases of nonlinear models: an exponential conditional mean function for nonnegative responses and a probit conditional mean function for binary or fractional responses. In the former case, they exploit the full robustness of the fixed effects Poisson quasi-MLE; for the probit case, they propose corre- lated randomeffects. InChapter3,WilliamH.GreeneandQiushiZhangpointoutthatthepanel data linear regression model has been studied exhaustively in a vast body of literature that originates with Nerlove (1966) and spans the entire range of empiricalresearchineconomics.Thischapterdescribestheapplicationofpanel data methods to some nonlinear models such as binary choice and nonlinear regression,wherethetreatmenthasbeenmorelimited.Someofthemethodol- ogyoflinearpaneldatamodelingcanbecarriedoverdirectlytononlinearcases, while other aspects must be reconsidered. The ubiquitous fixed effects linear model is the most prominent case of this latter point. Familiar general issues, includingdealingwithunobservedheterogeneity,fixedandrandomeffects,ini- tial conditions, and dynamic models, are examined. Practical considerations, such as incidental parameters, latent class and random parameters models, robustcovariance matrix estimation,attrition,andmaximumsimulatedlikeli- hood estimation, are considered. The authors review several practical specifi- cations that have been developed around a variety of specific nonlinear models, including binary and ordered choice, models for counts, nonlinear regressions, stochasticfrontier, and multinomial choicemodels. InChapter4,JeffreyS.RacineandChristopherF.Parmeterprovideasurvey ofnonparametricmethodsforestimationandinferenceinapaneldatasetting. Methodssurveyedincludeprofilelikelihood,kernelsmoothers,andseriesand sieveestimators.Thepracticalapplicationofnonparametricpanel-basedtech- niquesislessprevalentthannonparametricdensityandregressiontechniques. Thematerialcoveredinthischapterwillproveusefulandfacilitatetheiradop- tionby practitioners. InChapter5,KienTranandLeventKutluprovidearecentdevelopmentin panelstochasticfrontiermodelsthatallowsforheterogeneity,endogeneity,or both. Specifically, consistent estimation of the models’ parameters as well as observation-specific technical inefficiency is discussed. In Chapter 6, Stefanos Dimitrakopoulos and Michalis Kolossiatis discuss how Bayesian techniques can be used to estimate the Poisson model, a well- knownpanelcountdatamodel,withexponentialconditionalmean.Inparticu- lar,theyfocusontheimplementationofMarkovChainMonteCarlomethodsto various specifications of this model that allow for dynamics, latent GeneralIntroduction xvii heterogeneityand/orserialerrorcorrelation.Thelatentheterogeneitydistribu- tionisassignedanonparametricstructure,whichisbasedontheDirichletpro- cessprior.Theinitialconditionsproblemalsoisaddressed.Foreachresulting modelspecification,theyprovidetheassociatedinferentialalgorithmforcon- ductingposteriorsimulation.Relevantcomputercodesarepostedasanonline supplement. In Chapter 7, Chih-Hwa Kao and Fa Wang review and explain the tech- niques used in Hahn and Newey (2004) and Fernandez-Val and Weidner (2016)toderivethelimitdistributionofthefixedeffectsestimatorofsemipara- metricpanelswhenthetimedimensiontendstoinfinityjointlywiththecross- section dimension. The techniques of these two papers are representative and understandingtheirworkingmechanismisagoodstartingpoint.Underauni- fied framework, this paper explicitly points out the difficulties in extending frommodelswithfixeddimensionalparameterspacetopanelswithindividual effectsandfrompanelwithindividualeffectstopanelwithbothindividualand timeeffects,andhowHahnandNewey(2004)andFernandez-ValandWeidner (2016) solve them. InChapter8,BoHonoreandEkateriniKyriazidoustudytheidentification ofmultivariatedynamicpaneldatalogitmodelswithunobservedfixedeffects. They show that in the pure VAR(1) case (without exogenous covariates) the parameters are identified with as few as four waves of observations and can beestimatedconsistentlyatratesquare-root-nwithanasymptoticnormaldis- tribution.Furthermore,theyshowthattheidentificationstrategyofHonoreand Kyriazidou (2000) carries over inthe multivariate logit case whenexogenous variables are included in the model. The authors also present an extension of the bivariate simultaneous logit model of Schmidt and Strauss (1975) to the panel case, allowing for contemporaneous cross-equation dependence both in static and dynamic frameworks. The results of this chapter are of particular interest for short panels, that is, for small T. InChapter9,SubalKumbhakarandChristopherF.Parmeternoticethat,in thelast5years,wehaveseenamarkedincreaseinpaneldatamethodsthatcan handle unobserved heterogeneity, persistent inefficiency, and time-varying inefficiency.Althoughthisadvancementhasopeneduptherangeofquestions and topics for applied researchers, practitioners,andregulators, there are var- iousestimationproposalsforthesemodelsand,todate,nocomprehensivedis- cussion about how these estimators work or compare to one another. This chapter lays outin detail the various estimators and how they can be applied. Several recent applications of these methods are discussed, drawing connec- tions from the econometricframework toreal applications. InChapter10,PeterPedronidiscussesthechallengesthatshapepanelcoin- tegration techniques, with an emphasis on the challenge of maintaining the robustnessofcointegrationmethods whentemporal dependenciesinteractwith both cross-sectional heterogeneities and dependencies. It also discusses some of the open challenges that lie ahead, including the challenge of generalizing xviii GeneralIntroduction tononlinearandtimevaryingcointegratingrelationships.Thechapteriswritten inanontechnicalstylethatisintendedtomaketheinformationaccessibletonon- specialists,withanemphasisonconveyingtheunderlyingconceptsandintuition. In Chapter 11, by P.A.V.B. Swamy, Peter von zur Muehlen, Jatinder S.Mehta, andI-Lok Changshowthatestimatorsofthe coefficients ofecono- metric models are inconsistent if their coefficients and error terms are not unique.Theypresentmodelshavinguniquecoefficientsanderrorterms,with specificapplicabilitytotheanalysesofpaneldatasets.Theyshowthatthecoef- ficientonanincludednonconstantregressorofamodelwithuniquecoefficients anderrortermisthesumofbias-freeandomitted-regressorbiascomponents. Thissum,whenmultipliedbythenegativeratioofthemeasurementerrortothe observedregressor,providesameasurement-errorbiascomponentofthecoef- ficient.Thisresultisimportant becauseoneneedsthebias-freecomponent of thecoefficientontheregressortomeasurethecausaleffectofanincludednon- constant regressorof amodelon itsdependent variable. InChapter 12, Arne Heggingsen and Geraldine Henningsen give practical guidelines for the analysis of panel data with the statistical software R. They start by suggesting procedures for exploring and rearranging panel data sets and for preparing them for further analyses. A large part of this chapter dem- onstrates the application of various traditional panel data estimators that fre- quently are used in scientific and applied analyses. They also explain the estimation of several modern panel data models such as panel time series models and dynamic panel data models. Finally, this chapter shows how to use statistical tests to test critical hypotheses under different assumptions and howtheresultsofthesetestscanbeusedtoselectthepaneldataestimatorthat is mostsuitablefor a specific empirical panel data analysis. InChapter13,RobinSicklesandDongDingempiricallyassesstheimpact ofcapitalregulationsoncapitaladequacyratios,portfoliorisklevelsandcost efficiencyforbanksintheUnitedStates.UsingalargepaneldataofUSbanks from 2001 to 2016, they first estimate the model using two-step generalized method of moments (GMM) estimators. After obtaining residuals from the regressions,theyproposeamethodtoconstructthenetworkbasedonclustering oftheseresiduals.Theresidualscapturetheunobservedheterogeneitythatgoes beyondsystematicfactorsandbanks’businessdecisionsthataffectitslevelof capital,risk,andcostefficiency,andthusrepresentunobservednetworkhetero- geneityacrossbanks.Theythenreestimatethemodelinaspatialerrorframe- work. The comparisons of Fixed Effects, GMM Fixed Effect models with spatial fixed effects models provide clear evidence of the existence of unob- servedspatialeffectsintheinterbanknetwork.Theauthorsfindastrictercapital requirementcausesbankstoreduceinvestmentsinrisk-weightedassets,butat thesametime,increaseholdingsofnonperformingloans,suggestingtheunin- tendedeffectsofhighercapitalrequirementsoncreditrisks.Theyalsofindthe amountofcapitalbuffershasanimportantimpactonbanks’managementprac- tices even when regulatory capital requirements are notbinding.

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