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handle: 10419/56738
In this article we focus on estimating the quadratic covariation of continuous semimartingales from discrete observations that take place at asynchronous observation times. The Hayashi-Yoshida estimator serves as synchronized realized covolatility for that we give our own distinct illustration based on an iterative synchronization algorithm. We consider high-frequency asymptotics and prove a feasible stable central limit theorem. The characteristics of non-synchronous observation schemes affecting the asymptotic variance are captured by a notion of asymptotic covariations of times. These are precisely illuminated and explicitly deduced for the important case of independent time-homogeneous Poisson sampling.
technical report, 36 pages
ddc:330, 330 Wirtschaft, stable limit theorem, Schätztheorie, non-synchronous observations, quadratic covariation, Hayashi-Yoshida estimator, stable limit theorem, asymptotic distribution, Mathematics - Statistics Theory, Statistics Theory (math.ST), Hayashi-Yoshida estimator, quadratic covariation, FOS: Mathematics, C14, C58, G10, non-synchronous observations, asymptotic distribution, 62M10, 62G05, 62G20, 91B84, C32, Korrelation, Theorie, jel: jel:C32, jel: jel:C14, jel: jel:C58, jel: jel:G10
ddc:330, 330 Wirtschaft, stable limit theorem, Schätztheorie, non-synchronous observations, quadratic covariation, Hayashi-Yoshida estimator, stable limit theorem, asymptotic distribution, Mathematics - Statistics Theory, Statistics Theory (math.ST), Hayashi-Yoshida estimator, quadratic covariation, FOS: Mathematics, C14, C58, G10, non-synchronous observations, asymptotic distribution, 62M10, 62G05, 62G20, 91B84, C32, Korrelation, Theorie, jel: jel:C32, jel: jel:C14, jel: jel:C58, jel: jel:G10
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