dlv.est {ccgarch}R Documentation

Gradient of the GARCH part of the log-likelihood function of the DCC GARCH model

Description

This function returns the gradient of the volatility part of the log-likelihood function of the DCC.

Usage

    dlv.est(par, dvar, model)

Arguments

par a vector of the volatility parameters
dvar a matrix of the observed residuals (T times N)
model a character string describing the model. "diagonal" for the diagonal model and "extended" for the extended (full ARCH and GARCH parameter matrices) model

Value

A vector of the gradient. (3N times 1) for "diagonal" and (2N^{2}+N times 1) for "diagonal".

Note

The function can be called from optim in dcc.estimation1. For obtaining the gradient for all t, use dlv instead.

References

Engle, R.F. and K. Sheppard (2001), “Theoretical and Empirical Properties of Dynamic Conditional Correlation Multivariate GARCH.” Stern Finance Working Paper Series {FIN}-01-027 (Revised in Dec. 2001), New York University Stern School of Business.

Engle, R.F. (2002), “Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models.” Journal of Business and Economic Statistics 20, 339-350.

Hafner, C.M. and H. Herwartz (2008), “Analytical Quasi Maximum Likelihood Inference in Multivariate Volatility Models” Metrika 67, 219–239.

See Also

dcc.estimation1, dlv


[Package ccgarch version 0.1.1 Index]