Barndorff-Nielsen, Ole E.; Shephard, Neil Econometric analysis of realized covariation: high frequency based covariance, regression, and correlation in financial economics. (English) Zbl 1141.91634 Econometrica 72, No. 3, 885-925 (2004). Summary: This paper analyses multivariate high frequency financial data using realized covariation. We provide a new asymptotic distribution theory for standard methods such as regression, correlation analysis, and covariance. It will be based on a fixed interval of time (e.g., a day or week), allowing the number of high frequency returns during this period to go to infinity. Our analysis allows us to study how high frequency correlations, regressions, and covariances change through time. In particular we provide confidence intervals for each of these quantities. Cited in 1 ReviewCited in 168 Documents MSC: 91G70 Statistical methods; risk measures 62E20 Asymptotic distribution theory in statistics 62P05 Applications of statistics to actuarial sciences and financial mathematics PDFBibTeX XMLCite \textit{O. E. Barndorff-Nielsen} and \textit{N. Shephard}, Econometrica 72, No. 3, 885--925 (2004; Zbl 1141.91634) Full Text: DOI