For testing error variance unstability, a test based on CUSUM squares of the residuals in HAR (Heteroscedastic AutoRegressive) models are constructed and its limiting null distribution is derived to be a simple function of the standard Brownian bridge. A finite sample Monte-Carlo experiment...

A Lagrangian multiplier test is proposed for testing market microstructure noise (MMN) in financial asset prices. The test is very simple and is asymptotically chi-squared with 1-degree of freedom. The test is applied to sampling interval determination for realized volatilities (RVs) which...

First order asymptotic validity is established for stationary bootstrapping of the realized volatility. This enables us to construct a bootstrapping confidence interval for integrated volatility. A Monte-Carlo experiment shows that stationary bootstrapping confidence interval is also valid in a...

The validity of stationary bootstrapping is investigated for cointegrating regressions in large samples as well as in finite samples. The bootstrap ordinary least squares estimator (OLSE) is shown to be valid in large samples having the same limiting distribution as the OLSE under a similar...