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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 2016 Volume 61, Issue 4, Pages 774–804 (Mi tvp5087)

This article is cited in 1 paper

Multiscale approach for change point detection

A. L. Suvorikovaab, V. G. Spokoinycb

a Humboldt University, Berlin
b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
c Weierstrass Institute for Applied Analysis and Stochastics, Berlin

Abstract: In this paper we present a multiscale approach for change point detection. The algorithm estimates likelihood-ratio (LR) test in several scrolling windows simultaneously. This makes the method adaptive to structural breaks of different scales. Critical values are calibrated in a data-driven way using multiplier bootstrap, which estimates nonasymptotic distribution of the test statistics.

Keywords: multiscale change point detection, multiplier bootstrap, scrolling window, likelihood ratio test.

Received: 05.09.2016

DOI: 10.4213/tvp5087


 English version:
Theory of Probability and its Applications, 2017, 61:4, 665–691

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