
论坛里大神看看,这是Gonzalez, A., van Dijk, D. and Terasvirta, T.(2005), "Panel Smooth Transition Regression Models"的结果,但有些看不懂,好像只有在m=1和m=2中选择,但转换函数的个数
r等于几好像没有,也许是我哪里没看懂,能看懂的帮忙解读下吧,十分感谢。
Panel Smooth Transition Regression Models
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Sequence of tests for choosing between m*=1 and m*=2
(Granger & Terasvirta (1993), Terasvirta (1994))
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Transition Variable : Q1
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Homogeneity test H0*3: beta*(1)=beta*(2)=beta*(3)=0 :
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heteroskedasticity
F( 6 , 727) = 25.772 , SL= 0.000
homoskedasticity
F( 6 , 727) = 23.585 , SL= 0.000
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Test H0*3: beta*(3)=0 :
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heteroskedasticity
F( 2 , 727) = 6.549 , SL= 0.002
homoskedasticity
F( 2 , 727) = 7.398 , SL= 0.001
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Test H0*2 : beta*(2)=0 | beta*(3)=0 :
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heteroskedasticity
F( 2 , 729) = 17.459 , SL= 0.000
homoskedasticity
F( 2 , 729) = 14.790 , SL= 0.000
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TEST H0*1 : beta*(1)=0 | beta*(2)=0 & beta*(3)=0 :
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heteroskedasticity
F( 2 , 731) = 30.127 , SL= 0.000
homoskedasticity
F( 2 , 731) = 45.749 , SL= 0.000
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For Q1 , the sequence selects m*=1
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Test of Linearity vs PSTR with m* = 1
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Test H0*: beta*(1)=0
heteroskedasticity
F( 2 , 731) = 30.127 , SL= 0.000
homoskedasticity
F( 2 , 731) = 45.749 , SL= 0.000
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Estimation of a smooth transition model with argument Q1 and m* = 1
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valeurs initiales optimales :
gamma G1 = 4.0000
threshold C1 = -1.2815
initial RSS = 4.0301
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FIND Optimization - Estimation by BFGS
Convergence in 3 Iterations. Final criterion was 0.0000023 <= 0.0000100
Function Value 3.9818
| Variable | Coeff |
| ********************************************** |
1. C1 -1.466410536
2. G1 4.863612787
Variable Coeff Std Error Robust SE
X1 0.346037 0.026032 0.023378
X2 0.442976 0.040209 0.035168
X1* G(G1,C1,Q1) -0.097371 0.024141 0.019852
X2* G(G1,C1,Q1) -0.379548 0.039022 0.034175
R2 = 0.930
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Test of no remaining heterogeneity
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H0*’ : G2= 0
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Adding F SL(F) Robust F SL(Rob. F)
G(G2,C’1,C’2,Q1) 2.169573 0.070791 1.946602 0.100951
G(G2,C’1,Q1) 2.363432 0.094817 2.055073 0.128825
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Test of parameter constancy
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H0*’ : G2= 0
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Adding F SL(F) Robust F SL(Rob. F)
G(G2,C’1,C’2,t) 44.166049 0.000000 46.580786 0.000000
G(G2,C’1,t) 82.464052 0.000000 72.114930 0.000000