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EstimationwithSTATA1arlionn@163.com2007.071—-STATA()()LATEX(12)()18.1.............................................18.2.....................................18.2.1...................................28.2.2...................................78.2.3......................................108.2.4STATA....................................138.3.........................................258.3.1.......................................258.3.2......................................298.3.3..........................338.4.......................................338.5VAR.......................................338.6.......................................338.7...............................33I8.1()(PanelVAR)(PanelUnitRoottest)(PanelCointegeration)(PanelThreshold)30128.2()AR(1),AR(2),MA(1)—yitDx0itCuit(8-1)uitDaiCit1218.22iD1;2;;N;tD1;2;;TxitK1KK1iai(individualeffects)282810000600()8.2.38.2.1ai(8-1)yiDai1TCxiCi(8-2),yiD.yi1;yi2;;yiT/0,xiD.xi1;xi2;;xiT/0,iD.i1;i2;;iT/0,1T1T13310:E[ijxi]D020:Var[ijxi]D2IT31:E[ijxi;ai]D0(8-3)2:Var[ijxi;ai]D2IT(8-4)1x2(8-1)OLSBLUE12(8-1)OLSBLUEN.NCK/4N(N=10000)(8-1)yDDaCXC(8-5)yD.y01;y02;;y0N/0,D.01;02;;0N/0,NT1,DDIN1T,aD.a1;a2;;aN/0DN(8-5)OLSyDXCNDD0DINJT,JTD1T10TTT1PDD.D0D/ 1D0DINNJT,NJTD.1=T/JTTT1=T;QDINT D.D0D/ 1D0DINT PPQ(1):P0DP,P2DP;(2):PQD0;(3):PCQDINT.QDD0(8-5)QQyDQXCQ(8-6)4(8-1)NXOLSXN 168.24OLS5OWGD.X0QX/ 1X0Qy(8-7)Var.OWG/D2.X0QX/ 1(8-8)2O2D1NT N K.Qy QXOWG/0.Qy QXOWG/(8-9)OaiDNyi NxiOWG(8-10)(8-7).yit Nyi/D.x0it Nxi/C.it Ni/(8-11),NyiD.1=T/PTtD1yit,NxiNiOWGOLS(8-5)DaNX6(8-1)4yi2D4x0i2C4i2:::4yiTD4x0iTC4iT(8-12)ByiDBxiCBi(8-13)BD266664 110000 1100::::::::::::000 11377775.T 1/T(8-14)5(8-6)OLSE[.Q/.Q/0]D2Q6D2IGLS(8-7)6XPNiD1aiD0OaiiSTATA8.0X5.INB/yD.INB/XC.INB/(8-15)QBDINBOLSOOLSD.X0QBX/ 1X0QBy(8-16)1E[X]D0OOLSONOOLS2BVar.QB/D2QBQ0B(8-17)(8-15)GLSBLUEOGLSD[XQB.QBQ0B/ 1QBX] 1XQB.QBQ0B/ 1QBy:(8-18)QB.QBQ0B/ 1QBDQ7OGLSOWGGLSGLSOGLSOLSOWGBLUEGLS—(forwardorthogonaldebiations)ArellanoandBover(1995).T 1/TAD.BB0/ 1=2B:.BB0/ 1=2(Cholesky)AAD7.AF/.CD/D.AC/.FD/,QB.QBQ0B/ 1QBDINB0.BB0/ 1BB0.BB0/ 1BDIT NJTHDT 1=210T.BB0/ 1=2B#HH0DIT,H0HDIT,10T1T=TCB0.BB0/ 1BDITQB.QBQ0B/ 1QBDIN.IT NJT/DINT PDQ.8.26diag[.T 1/=T;.T 2/=.T 1/;;1=2] 1=2A†,A†D2666666641.1 T/ 1.1 T/ 1.1 T/ 1.1 T/ 1.1 T/ 101.2 T/ 1.2 T/ 1.2 T/ 1.2 T/ 1::::::::::::::::::0001 1=2 1=200001 1377777775:(8-19)iAiDAiT 1itDct[it 1T t.i;tC1/CCiT/](8-20)c2tD.T t/=.T tC1/A0ADIT NJT,AA0DIT 1QDINA0AOLSOWG8yitDx0itCuit(8-21)uitDaiCtCitiD1;2;;NItD1;2;;TyDXCu(8-22)uD.IN1T/aC.1NIT/CD.1;2;;T/0aitxititDaDIN1T,DD1NITyDDaaCDCXC(8-23)DaD(NTN)(NTT)NTJT87JND1N10NDD0DJNITENDIN NJNNJND.1=N/JNQDENETDINITCINNJT NJNITCNJNNJT(8-24)aitQyDQyQyitDyit Nyi NytCNyNyiD.1=N/PNiD1yit,NytD.1=T/PTtD1yit,NyD.1=NT/PNiD1PTtD1yitQyDQyQXDQXOLS(8-21)QD.X0QX/ 1X0Qy(8-25)OaiD.Nyi Ny/ Q.Nxi Nx/(8-26)OtD.Nyt Ny/ Q.Nxt Nx/(8-27)(8-21)PNiD1aiD0PTtD1tD0;OaiOt8.2.2GLSN(8-1):yitDxitCuit(8-28)uitDaiCit123:aiIID.0;2a/(8-29)4:Cov.ai;xit/D0(8-30)5:uijxiIID.0;2ITC2a1T10T/(8-31)8.28302aE[ai]4ai5aiit-DE[uu0]DIN.2ITC2a1T10T/DIN666(8-32)666D2ITC2a1T10T666D2666642aC22a2a2a2aC22a::::::::::::2a2a2aC2377775:(8-33)GLSOGLSD[X0 1X] 1X0 1y(8-34)Var.OGLS/D[X0 1X] 1(8-35)OLS 1=2D[In666] 1=2666 1=2666 1=2D1I T1T10TD1 p2CT2a666 1=2yiD1266664yi1 Nyiyi2 Nyi:::yiT Nyi377775(8-36)xiOLS(8-34)(8-36)D1OGLSGreene(2002,pp.295-296)FGLSGLS,22a(8-58)GLS2O2OLSO2O2u92eitD.yit Nyi/ .xit Nxi/0OWGO2DPniD1PTtD1e2itnT n K(8-37)2a(8-28)OLSQeit(8-28)OLSO2uDPniD1PTtD1Qe2itnT K 1DO2CO2a(8-38)O2aDO2u O2(8-37)(8-38)O2uO222aOLS22aOLSNyiDNx0iCNi(8-39)mDO2aC.O2=T/mO2uO2DTT 1.O2u m/O2aDTT 1m 1T 1O2uFGLSGLSBLUEFGLSN!1T!1MaddalaMount(1973)FGLSTaylor(1980)FGLSLSDV(1)LSDVFGLS(2)FGLSCramer-Rao17%(3)FGLS8.210Cov.uit;ujs/D8:2aC2foriDj;tDs2aforiDj;t6Ds0fori6Dj;t6Ds(8-40)DCorr.uit;ujs/D8:1foriDj;tDs2a=.2aC2/foriDj;t6Ds0fori6Dj;t6Ds(8-41)(8-41)D2a=.2aC2/8.3.28.2.3OLS()Cov.ai;xi/D0(8.2.1)()OLS(PooledOLS)H0:1D2DDnFFD.R2u R2r/=.n 1/.1 R2u/=.nT n K/F.n 1;nT n K/(8-42)urFBreuschPagan(1980)OLSLMH0:2aD0v:s:H1:2a6D011LMDnT2.T 1/264PniD1hPTtD1eiti2PniD1PTtD1e2it 13752(8-43)LM1LMLMDnT2.T 1/e0DD0ee0e 12(8-44),aiHausmanMundlak(1978)aiHausmanaiOLSGLSbOOLSGLSVar[b O]DVar[b]CVar[O] Cov[b;O] Cov[b;O]0(8-45)HausmanCov[.b O/;O]DCov[b;O] Var[O]D0(8-46)Cov[b;O]DVar[O](8-47)(8-47)(8-45)Var[b O]DVar[b] Var[O]D999(8-48)HausmanWaldWD[b O]0O999 1[b O]2.K 1/(8-49)8.212,O999.aixit910yitDaiCxitCit(8-50)4yitD4xitC4it(8-51)itDit 1Cuit,4itD4it 1C4uitH0:D0v:s:6D04itDeitH0Corr.eit;eit 1/D 0:5(8-52)(8-51)OLSOeitOeit 1OLSOO-0.5t11Baltagi(2001)129B-PHausman10STATAxthtaylorxtivreg(8-28)aixiixi11Wooldridge(2002,pp.282)STATAxtserial12STATAxttest1138.2.4STATAPanelDatacompanyyearinvestmvalue1195
本文标题:连玉君:面板讲义(理论和在STATA中的操作)
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