# Log-Likelihood function of GO-GARCH models

### Description

This function returns the negative of the log-Likelihood function for GO-GARCH models.

### Usage

1 | ```
gollh(params, object, garchlist)
``` |

### Arguments

`params` |
Vector of initial values for |

`object` |
An object of class |

`garchlist` |
List, elements are passed to |

### Details

The log-Likelihood function of GO-GARCH models is given as:

*
L_{θ, α, β} = - \frac{1}{2} ∑_{t=1}^T m \log(2π)
+ \log|Z_θ Z_θ '| + \log|H_t| + y' H_t^{-1}y_t
*

whereby *Z = P Δ^{\frac{1}{2}} U_0*, *y_t = Z^{-1}x_t* and
*H_t* is the conditional variance matrix of the independent
components.

### Value

`negll` |
Scalar, the negative value of the log-Likelihood function. |

### Author(s)

Bernhard Pfaff

### References

Van der Weide, Roy (2002), GO-GARCH: A Multivariate Generalized
Orthogonal GARCH Model, *Journal of Applied Econometrics*,
**17(5)**, 549 – 564.

### See Also

`garchFit`