A Conditional-Heteroskedasticity-Robust Confidence Interval for the Autoregressive Parameter

Generalized Autoregressive Conditional Heteroskedasticity

A natural generalization of the ARCH (Autoregressive Conditional Heteroskedastic) process introduced in Engle (1982) to allow for past conditional variances in the current conditional variance equation is proposed. Stationarity conditions and autocorrelation structure for this new class of parametric models are derived. Maximum likelihood estimation and testing are also considered. Finally an e...

Estimation for Partially Nonstationary Multivariate Autoregressive Models with Conditional Heteroskedasticity

where $‘s inre r*onst,ant matricaes; detI{@(z)} = 11 @,x . w * $JP[ = 0 has ci 5 771, urrit roots and ‘I’ = 711 d roots omside the urrit, circle: tPt = ((1 it, 7 c+> is a sequcnce of independent1 and idcntically distlributled (i.i.tl) matrices with mean zero and nonnegativc covarianc~e IC[ /le+&) ~f’(&)] = 0; pit is an i.i.d ramlom vector witIh mean zero and positive covariance E ( etef j = CA ...

Pricing under Linear Autoregressive Dynamics , Heteroskedasticity , and Conditional

Daily returns of nancial assets are frequently found to exhibit positive autocor-relation at lag 1. When specifying a linear AR(1) conditional mean, one may ask how this predictability aaects option prices. We investigate the dependence of option prices on autoregressive dynamics under stylized facts of stock returns, i.e., conditional heteroskedasticity, leverage eeect, and conditional leptoku...

Improving Forecasts of Generalized Autoregressive Conditional Heteroskedasticity with Wavelet Transform

In the study, we discussed the generalized autoregressive conditional heteroskedasticity model and enhanced it with wavelet transform to evaluate the daily returns for 1/4/2002-30/12/2011 period in Brent oil market. We proposed discrete wavelet transform generalized autoregressive conditional heteroskedasticity model to increase the forecasting performance of the generalized autoregressive cond...

Time - series Econometrics : Cointegration and Autoregressive Conditional Heteroskedasticity