cajorls | R Documentation |
This function returns the OLS regressions of a restricted VECM,
i.e. it returns a list object with elements of class ‘lm’
containing the restricted VECM, a matrix object with the normalised
cointegrating relationships and a list object with the normalised
cointegration matrix statistics. The user can provide a certain number of
which equation in the VECM should be estimated and reported, or if
"reg.number = NULL"
each equation in the VECM will be estimated
and its results are reported. Furthermore, the cointegratioon rank has
to be supplied too.
cajorls(z, r = 1, reg.number = NULL)
z |
An object of class |
r |
An integer, signifiying the cointegration rank. |
reg.number |
The number of the equation in the VECM that should
be estimated or if set to |
The cointegration space is normalised as \bold{\beta}_c =
\bold{\beta}(S'\bold{\beta})^{-1}
, with S' = (I_r, 0)
.
Returns a list object with elements of class lm
for the
restricted VECM, a matrix object with the normalised cointegrating
vectors and a list object with the normalised cointegration matrix
statistics.
Bernhard Pfaff
Johansen, S. (1995), Likelihood-Based Inference in Cointegrated Vector Autoregressive Models, Oxford University Press, Oxford.
Lütkepohl, H. (2006), New Introduction to Multiple Time Series Analysis, Springer, New York.
Lütkepohl, H. and Krätzig, M. (2004), Applied Time Series Econometrics, Cambridge University press, New York.
ca.jo
, cajools
, lm
,
ca.jo-class
and urca-class
.
data(finland)
sjf <- finland
sjf.vecm <- ca.jo(sjf, ecdet = "none", type = "eigen", K = 2,
spec = "longrun", season = 4)
sjf.vecm.rls <- cajorls(sjf.vecm, r = 2)
summary(sjf.vecm.rls$rlm)
sjf.vecm.rls$beta
sjf.vecm.rls$beta.stats
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