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用SPLUS做mgarchBEKK模型后,Ljung-Box检验P值小于0.1,怎么进行修正啊?希望有高手能够帮忙,一下是做出来的结果。
Call:
mgarch(formula.mean = ld ~ 1, formula.var = ~ bekk(1, 1))
Mean Equation: structure(.Data = ld ~ 1
, class = "formula"
)
Conditional Variance Equation: structure(.Data = ~ bekk(1, 1)
, class = "formula"
)
Conditional Distribution: gaussian
--------------------------------------------------------------
Estimated Coefficients:
--------------------------------------------------------------
Value Std.Error t value Pr(>|t|)
C(1) -0.25285527 1.524e+000 -1.659e-001 8.683e-001
C(2) -0.40265234 6.335e-001 -6.356e-001 5.255e-001
A(1, 1) 6.38855423 5.153e-001 1.240e+001 0.000e+000
A(2, 1) 0.78566111 5.822e-001 1.349e+000 1.782e-001
A(2, 2) 0.00005497 1.139e+004 4.825e-009 1.000e+000
ARCH(1; 1, 1) 0.42676480 7.394e-002 5.772e+000 1.850e-008
ARCH(1; 2, 1) -0.20391753 3.609e-002 -5.651e+000 3.528e-008
ARCH(1; 1, 2) -0.08597669 1.787e-001 -4.811e-001 6.308e-001
ARCH(1; 2, 2) 0.75606408 1.032e-001 7.323e+000 1.967e-012
GARCH(1; 1, 1) 0.82037649 2.565e-002 3.198e+001 0.000e+000
GARCH(1; 2, 1) 0.06595849 1.642e-002 4.017e+000 7.337e-005
GARCH(1; 1, 2) 0.08780612 1.739e-002 5.050e+000 7.408e-007
GARCH(1; 2, 2) 0.82632985 3.154e-002 2.620e+001 0.000e+000
--------------------------------------------------------------
AIC(13) = 4691.334
BIC(13) = 4740.603
Normality Test:
--------------------------------------------------------------
Jarque-Bera P-value Shapiro-Wilk P-value
r1 26487 0 0.5588 0
r2 4412 0 0.8985 0
Ljung-Box test for standardized residuals:
--------------------------------------------------------------
Statistic P-value Chi^2-d.f.
r1 25.77 1.156e-002 12
r2 53.03 4.073e-007 12
Ljung-Box test for squared standardized residuals:
--------------------------------------------------------------
Statistic P-value Chi^2-d.f.
r1 3.986 0.9837 12
r2 9.101 0.6942 12
Lagrange multiplier test:
--------------------------------------------------------------
Lag 1 Lag 2 Lag 3 Lag 4 Lag 5 Lag 6 Lag 7 Lag 8
r1 1.0379 -0.1930 -0.3060 -0.1008 0.3936 1.5133 -0.3212 -0.2273
r2 0.5661 -0.3471 -0.1812 -0.2104 0.6909 0.5383 0.1364 2.4144
Lag 9 Lag 10 Lag 11 Lag 12 C
r1 0.2437 0.3429 -0.1312 0.07128 0.01899
r2 -0.1402 -0.3052 1.0919 0.05510 -0.18690
TR^2 P-value F-stat P-value
r1 3.913 0.9850 0.3602 0.9981
r2 8.554 0.7405 0.7993 0.7477
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