summary method for class "bvarlist"
.
# S3 method for bvarlist
summary(object, ...)
summary.bvarlist
returns a table of class "summary.bvarlist"
.
an object of class "bvar"
, usually, a result of a call to
draw_posterior
.
further arguments passed to or from other methods.
The log-likelihood for the calculation of the information criteria is obtained by $$LL = \frac{1}{R} \sum_{i = 1}^{R} \left( \sum_{t = 1}^{T} -\frac{K}{2} \ln 2\pi - \frac{1}{2} \ln |\Sigma_t^{(i)}| -\frac{1}{2} (u_t^{{(i)}\prime} (\Sigma_t^{(i)})^{-1} u_t^{(i)} \right)$$, where \(u_t = y_t - \mu_t\). The Akaike, Bayesian and Hannan–Quinn (HQ) information criteria are calculated as $$AIC = 2 (Kp + Ms + N) - 2 LL$$, $$BIC = (Kp + Ms + N) ln(T) - 2 LL$$ and $$HQ = 2 (Kp + Ms + N) ln(ln(T)) - 2 LL$$, respectively, where \(K\) is the number of endogenous variables, \(p\) the number of lags of endogenous variables, \(M\) the number of exogenous variables, \(s\) the number of lags of exogenous variables, \(N\) the number of deterministic terms and \(T\) the number of observations.