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On a Projection Least Squares Estimator for Jump Diffusion Processes

Statistics Theory 2024-03-19 v2 Statistics Theory

Abstract

This paper deals with a projection least squares estimator of the drift function of a jump diffusion process XX computed from multiple independent copies of XX observed on [0,T][0,T]. Risk bounds are established on this estimator and on an associated adaptive estimator. Finally, some numerical experiments are provided.

Keywords

Cite

@article{arxiv.2210.13164,
  title  = {On a Projection Least Squares Estimator for Jump Diffusion Processes},
  author = {Hélène Halconruy and Nicolas Marie},
  journal= {arXiv preprint arXiv:2210.13164},
  year   = {2024}
}

Comments

19 pages, 3 figures

R2 v1 2026-06-28T04:21:00.265Z