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https://dx.doi.org/10.48550/ar...
Article . 2011
License: arXiv Non-Exclusive Distribution
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Research . 2011
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Asymptotics of Asynchronicity

Authors: Markus Bibinger;

Asymptotics of Asynchronicity

Abstract

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

Keywords

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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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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