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Fisher's Information for Discretely Sampled Levy Processes

Probability 2007-05-23 v1

Abstract

This paper studies the asymptotic behavior of the Fisher information for a Levy process discretely sampled at an increasing frequency. We show that it is possible to distinguish not only the continuous part of the process from its jumps part, but also different types of jumps, and derive the rates of convergence of efficient estimators.

Keywords

Cite

@article{arxiv.math/0411438,
  title  = {Fisher's Information for Discretely Sampled Levy Processes},
  author = {Yacine Ait-Sahalia and Jean Jacod},
  journal= {arXiv preprint arXiv:math/0411438},
  year   = {2007}
}

Comments

17 novembre 2004