Ole Martin extends well-established techniques for the analysis of
high-frequency data based on regular observations to the more
general setting of asynchronous and irregular observations. Such
methods are much needed in practice as real data usually comes in
irregular form. In the theoretical part he develops laws of large
numbers and central limit theorems as well as a new bootstrap
procedure to assess asymptotic laws. The author then applies the
theoretical results to estimate the quadratic covariation and to
construct tests for the presence of common jumps. The simulation
results show that in finite samples his methods despite the much
more complex setting perform comparably well as methods based on
regular data. About the Author: Dr. Ole Martin completed his PhD at
the Kiel University (CAU), Germany. His research focuses on
high-frequency statistics for semimartingales with the aim to
develop methods based on irregularly observed data.
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