English

Nonparametric tests for detecting breaks in the jump behaviour of a time-continuous process

Methodology 2014-12-18 v1

Abstract

This paper is concerned with tests for changes in the jump behaviour of a time-continuous process. Based on results on weak convergence of a sequential empirical tail integral process, asymptotics of certain tests statistics for breaks in the jump measure of an Ito semimartingale are constructed. Whenever limiting distributions depend in a complicated way on the unknown jump measure, empirical quantiles are obtained using a multiplier bootstrap scheme. An extensive simulation study shows a good performance of our tests in finite samples.

Keywords

Cite

@article{arxiv.1412.5376,
  title  = {Nonparametric tests for detecting breaks in the jump behaviour of a time-continuous process},
  author = {Axel Bücher and Michael Hoffmann and Mathias Vetter and Holger Dette},
  journal= {arXiv preprint arXiv:1412.5376},
  year   = {2014}
}

Comments

29 pages, 4 figures

R2 v1 2026-06-22T07:34:54.647Z