Geodesic
On the practical applicability of three CUSUM-methods for structural breaks detection in EGARCH-models
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 16 (2020) no. 1, pp. 19-30
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There are three well-known CUSUM-methods of structural breaks detection for standard GARCH-models in the literature: (Inclґan, Tiao, 1994), (Kokoszka, Leipus, 1999) and (Lee, Tokutsu, Maekawa, 2004). Despite the fact that these algorithms were initially developed for standard GARCH-models, there are theoretical arguments that CUSUM-methods can be applied to EGARCH-models. What is more, one can find empirical research which uses these methods to detect structural breaks in real-time series volatility. However, we have not found any numeric experiments which would prove the applicability of CUSUM-methods for EGARCH-models so far. We are not aware of any controlled experiments conducted in order to verify the applicability of these methods for EGARCH-models. This article adds to the existing literature in the following way. We first generate volatility series which possess EGARCH-model with known structural breaks. Then we run simulations and show that CUSUM-methods are weak in detecting structural breaks on medium size samples which are close to real ones. We conclude that the applicability of these methods on EGARCH-models is limited. Therefore, we suggest a hybrid algorithm which is able to improve the performance of CUSUM-methods when detecting structural breaks in all EGARCH-models.
Keywords: EGARCH, volatility, change points, structural breaks, CUSUM. 
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     author = {D. A. Borzykh and A. A. Yazykov},
     title = {On the practical applicability of three {CUSUM-methods} for structural breaks detection in {EGARCH-models}},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
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D. A. Borzykh; A. A. Yazykov. On the practical applicability of three CUSUM-methods for structural breaks detection in EGARCH-models. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 16 (2020) no. 1, pp. 19-30. http://geodesic.mathdoc.fr/item/VSPUI_2020_16_1_a1/

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