| Class and Description |
|---|
| VARMAModel
A multivariate ARMA model, \(X_{t}\), takes this form.
\[
X_t = \mu + \Sigma \phi_i X_{t-i} + \Sigma \theta_j \epsilon_{t-j} + \epsilon_t,
\]
|
| VARMAXModel
The VARMAX model (ARMA model with eXogenous inputs) is a generalization of the ARMA model by
incorporating exogenous variables.
|
| Class and Description |
|---|
| VARMAModel
A multivariate ARMA model, \(X_{t}\), takes this form.
\[
X_t = \mu + \Sigma \phi_i X_{t-i} + \Sigma \theta_j \epsilon_{t-j} + \epsilon_t,
\]
|
| VARMAXModel
The VARMAX model (ARMA model with eXogenous inputs) is a generalization of the ARMA model by
incorporating exogenous variables.
|
| VARModel
This class represents a VAR model.
|
| VARXModel
A VARX (Vector AutoRegressive model with eXogeneous inputs) model, \(X_{t}\), takes
this form.
\[
Y_t = \mu + \Sigma \phi_i * Y_{t-i} + \Psi * D_t + \epsilon_t
\]
where \(Y_{t}\), μ and \(\epsilon _{t}\) are n-dimensional
vectors.
|
| VECM
A Vector Error Correction Model (VECM(p)) has one of the following specifications:
Transitory:
\[
\Delta Y_t = \mu + \Pi Y_{t-1} + \sum \left ( \Gamma_i Y_{t-1} \right ) + \Psi D_t + \epsilon_t, i = 1, 2, ..., p-1
\]
or
Long-run:
\[
\Delta Y_t = \mu + \Pi Y_{t-p} + \sum \left ( \Gamma_i Y_{t-1} \right ) + \Psi D_t + \epsilon_t, i = 1, 2, ..., p-1
\]
\(Y_{t}\), μ and \(\epsilon _{t}\) are n-dimensional vectors.
|
| VECMLongrun
The long-run Vector Error Correction Model (VECM(p)) takes this form.
\[
\Delta Y_t = \mu + \Pi Y_{t-p} + \sum \left ( \Gamma_i Y_{t-1} \right ) + \Psi D_t + \epsilon_t,
i = 1, 2, ..., p-1
\]
\(Y_{t}\), μ and \(\epsilon _{t}\) are n-dimensional vectors.
|
| VECMTransitory
A transitory Vector Error Correction Model (VECM(p)) takes this form.
\[
\Delta Y_t = \mu + \Pi Y_{t-1} + \Sigma \left ( \Gamma_i Y_{t-1} \right ) + \Psi D_t +
\epsilon_t, i = 1, 2, ..., p-1
\]
\(Y_{t}\), μ and \(\epsilon _{t}\) are n-dimensional vectors.
|
| VMAModel
This class represents a multivariate MA model.
|
| Class and Description |
|---|
| VARMAModel
A multivariate ARMA model, \(X_{t}\), takes this form.
\[
X_t = \mu + \Sigma \phi_i X_{t-i} + \Sigma \theta_j \epsilon_{t-j} + \epsilon_t,
\]
|
| VARModel
This class represents a VAR model.
|
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