A Weighted Resampling for the Linear Estimator of ARCH Model

Abstract

A Weighted Resampling Method is used to approximate the true distribution of the Linear Estimator (LE) of ARCH Models in finite sample. The Weighted Bootstrapped Linear Estimator is obtained by solving linear equations and hence the approach is easy to implement. Using a class of Weighted Resampling Schemes, it is found that there are schemes that can match and even perform better than the commonly used Paired Bootstrap Scheme. Using the Linear Estimator, instead of the Quasi-Maximum Likelihood Estimator for fitting ARCH Model enables us to obtain these results in very little time.