单位根检验之后是不平稳,接着一阶差分检验,是平稳的。
VAR模型构建之后,显示最优滞后期是3,于是确定协整检验的最大滞后期为2.
但是,做出来协整检验的结果却如下所示。
根据迹统计量检验结果得出全部拒绝原假设,怎么办好呢?是哪一步出了问题吗?谢谢!!!
Date: 03/15/16 Time: 22:07
Sample (adjusted): 1997 2013
Included observations: 17 after adjustments
Trend assumption: Linear deterministic trend
Series: LNY LNL LNG LNMM
Lags interval (in first differences): 1 to 2
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.941629 102.8585 47.85613 0.0000
At most 1 * 0.850144 54.56246 29.79707 0.0000
At most 2 * 0.596397 22.29511 15.49471 0.0040
At most 3 * 0.332458 6.870611 3.841466 0.0088
Trace test indicates 4 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegration Rank Test (Maximum Eigenvalue)
Hypothesized Max-Eigen 0.05
No. of CE(s) Eigenvalue Statistic Critical Value Prob.**
None * 0.941629 48.29603 27.58434 0.0000
At most 1 * 0.850144 32.26735 21.13162 0.0009
At most 2 * 0.596397 15.42450 14.26460 0.0326
At most 3 * 0.332458 6.870611 3.841466 0.0088
Max-eigenvalue test indicates 4 cointegrating eqn(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegrating Coefficients (normalized by b'*S11*b=I):
LNY LNL LNG LNMM
0.034314 7.232485 5.090380 -0.035877
-63.35064 -42.78012 59.48214 4.224367
1.021463 1.699730 10.96539 2.508587
-23.68231 -9.722196 27.31180 3.292039
Unrestricted Adjustment Coefficients (alpha):
D(LNY) -0.026989 0.022133 0.015984 -0.025338
D(LNL) -0.016696 0.008980 0.005692 0.015104
D(LNG) 0.006994 -0.007434 0.029240 0.018403
D(LNMM) 0.737682 0.120677 0.192326 -0.279425
1 Cointegrating Equation(s): Log likelihood 98.99484
Normalized cointegrating coefficients (standard error in parentheses)
LNY LNL LNG LNMM
1.000000 210.7739 148.3472 -1.045538
(25.6639) (37.9661) (8.34525)
Adjustment coefficients (standard error in parentheses)
D(LNY) -0.000926
(0.00071)
D(LNL) -0.000573
(0.00038)
D(LNG) 0.000240
(0.00065)
D(LNMM) 0.025313
(0.00765)
2 Cointegrating Equation(s): Log likelihood 115.1285
Normalized cointegrating coefficients (standard error in parentheses)
LNY LNL LNG LNMM
1.000000 0.000000 -1.418765 -0.063536
(0.10181) (0.02535)
0.000000 1.000000 0.710553 -0.004659
(0.14498) (0.03610)
Adjustment coefficients (standard error in parentheses)
D(LNY) -1.403062 -1.142045
(1.19504) (0.81845)
D(LNL) -0.569462 -0.504918
(0.66531) (0.45565)
D(LNG) 0.471188 0.368609
(1.18880) (0.81418)
D(LNMM) -7.619624 0.172717
(13.8209) (9.46558)
3 Cointegrating Equation(s): Log likelihood 122.8408
Normalized cointegrating coefficients (standard error in parentheses)
LNY LNL LNG LNMM
1.000000 0.000000 0.000000 0.263265
(0.04749)
0.000000 1.000000 0.000000 -0.168329
(0.02808)
0.000000 0.000000 1.000000 0.230342
(0.03233)
Adjustment coefficients (standard error in parentheses)
D(LNY) -1.386735 -1.114877 1.354402
(1.13225) (0.77594) (1.08470)
D(LNL) -0.563648 -0.495243 0.511580
(0.65128) (0.44633) (0.62393)
D(LNG) 0.501055 0.418309 -0.085963
(0.96089) (0.65851) (0.92054)
D(LNMM) -7.423170 0.499620 13.04212
(13.0328) (8.93153) (12.4855)


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