Maximum likelihood estimates of cointegration [STB-21: sts9]
---------------------------------------------
^mlcoint^ varlist [^if^ exp] [^in^ range] [^, noc^onstant ^l^ags^(^#^)^
^non^ormal ^r^egress ^stand^ard ^s^tatic^(^varlist^)^ ]
^lrcotest^ varlist [^,^ ^c^ir^(^#^)^ ^r^estrict ]
^wcotest^ varlist [^,^ ^c^ir^(^#^)^ ]
^mlcoint^ calculates the eigenvalues and the maximal eigenvalue and trace
statistics for the VAR defined by ^varlist^. These statistics can be used
to test for the number of cointegrating vectors in the system. If the ^normal^
or ^standard^ option is specified, maximum likelihood estimates of the
cointegrating vectors and of the matrix of weights are displayed. ^mlcoint^
uses Johansen's method for computing the estimates and test statistics. See
the references for more information on the method.
^lrcotest^ and ^wcotest^ are used after ^mlcoint^ to test the null hypothesis
that one or more of the variables in the VAR do not enter the cointegrating
relationship(s). ^lrcotest^ calculates the likelihood-ratio test. ^wcotest^
calculates the Wald test.
Notes
-----
These programs rely on programs in the Stata time series library (STB-21:
sts7.4). The time series library must be available before ^mlcoint^ , ^lrcotest^,
or ^wcotest^ can be run.
^mlcoint^ creates several global matrices that are used by ^lrcotest^ and ^wcotest^.
These matrices have names that begin with the characters "^M_^".
Options
-------
^c^ir^(^#^)^ indicates the number of cointegrating relationships in the system.
^noconstant^ suppresses the constant in the first stage VAR.
^l^ags^(^#^)^ specifies the number of lags in the original VAR (in levels).
^non^ormal suppresses the display of the normalized Alpha and Beta' matrices.
^r^egress indicates that the VAR estimates are to be displayed.
^r^estrict requests that ^lrcotest^ display the restricted estimates of the
eigenvalues and of the Alpha and Beta' matrices.
^stand^ard requests the display of the standardized Alpha and Beta' matrices
instead of the normalized matrices.
^s^tatic^(^varlist^)^ specifies static variables that enter the VAR.
References
----------
Johansen, S. 1988. "Statistical Analysis of Cointegration Vectors,"
^Journal of Economic Dynamics and Control^. Vol. 12 pp. 231-254.
Johansen, S. and Katarina Juselius. 1990. "Maximum Likelihood Estimation
and Inference on Cointegration - With Applications to the Demand for
Money," ^Oxford Bulletin of Economics and Statistics^. Vol. 52 pp.
169-210.
Authors
-------
Ken Heinecke and Charles Morris
Federal Reserve Bank of Kansas City
FAX 816-881-2199
Also see
--------
STB: sts9 (STB-21), sts7.4 (STB-21)