Fisher's Information for Discretely Sampled Lévy Processes
This paper studies the asymptotic behavior of Fisher's information for a Lévy process discretely sampled at an increasing frequency. As a result, we derive the optimal rates of convergence of efficient estimators of the different parameters of the process and show that the rates are often nonstandard and differ across parameters. We also show that it is possible to distinguish the continuous part of the process from its jumps part, and even different types of jumps from one another. Copyright Copyright 2008 by The Econometric Society.
Year of publication: |
2008
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Authors: | Aït-Sahalia, Yacine ; Jacod, Jean |
Published in: |
Econometrica. - Econometric Society. - Vol. 76.2008, 4, p. 727-761
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Publisher: |
Econometric Society |
Saved in:
Online Resource
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