Estimation of a VMA(q) model using the exact likelihood method. Multivariate Gaussian likelihood function is used.
VMAe(da, q = 1, include.mean = T, coef0 = NULL,
secoef0 = NULL, fixed = NULL, prelim = F,
details = F, thres = 2)
Data matrix (T-by-k) for a k-dimensional VMA process
The order of a VMA model
A logical switch to include the mean vector in estimation. Default is to include the mean vector.
Initial estimates of the coefficients used mainly in model refinement
Standard errors of the initial estimates
A logical matrix to put zero parameter constraints
A logical switch for preliminary estimation
A logical switch to control output in estimation
The threshold value for zero parameter constraints
The observed time series
The VMA order
A logical switch to include the mean vector
Parameter estimates
Standard errors of parameter estimates
Residual series
Residual covariance matrix
VMA coefficient matrix
The mean vector
The information criteria of the fitted model
Tsay (2014). Multivariate Time Series Analysis with R and Financial Applications. John Wiley. Hoboken, NJ.
VMA