logLik: Log-Likelihood method

In vars: VAR Modelling

Log-Likelihood method

Description

Returns the log-Likelihood of a VAR, level-VECM, SVAR or SVEC object.

Usage

## S3 method for class 'varest'
logLik(object, ...)
## S3 method for class 'vec2var'
logLik(object, ...)
## S3 method for class 'svarest'
logLik(object, ...)
## S3 method for class 'svecest'
logLik(object, ...)

Arguments

object	An object of class ‘varest’, generated by VAR(); or an object of class ‘vec2var’, generated by vec2var(); or an object of class ‘svarest’, generated by either SVAR() or an object of class ‘svecest’, generated by SVEC().
...	Currently not used.

Details

The log-likelihood of a VAR or level-VECM model is defined as:

\log l = - \frac{K T}{2} \log 2 \pi - \frac{T}{2} \log |\Sigma_u| - \frac{1}{2} tr (U \Sigma^{-1}_u U')

and for a SVAR / SVEC model the log-likelihood takes the form of:

\log l = - \frac{K T}{2} \log 2 \pi + \frac{T}{2} \log |A|^2 - \frac{T}{2} \log |B|^2 - \frac{T}{2} tr (A'B'^{-1}B^{-1}A\Sigma_u)

Value

An object with class attribute logLik.

Author(s)

Bernhard Pfaff

References

Hamilton, J. (1994), Time Series Analysis, Princeton University Press, Princeton.

Lütkepohl, H. (2006), New Introduction to Multiple Time Series Analysis, Springer, New York.

See Also

VAR, vec2var, SVAR, SVEC

Examples

data(Canada)
var.2c <- VAR(Canada, p = 2, type = "const")
logLik(var.2c) 

vars documentation built on June 24, 2024, 9:08 a.m.