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arXiv · 1412.5376

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

Axel Bücher·Michael Hoffmann·Mathias Vetter·Holger Dette
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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.

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Axel Bücher, Michael Hoffmann, Mathias Vetter, Holger Dette. 2014-12-17. Nonparametric tests for detecting breaks in the jump behaviour of a time-continuous process. https://arxiv.org/abs/1412.5376

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