Robust recursive estimation of GARCH models
Kybernetika, Tome 54 (2018) no. 6, pp. 1138-1155
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The robust recursive algorithm for the parameter estimation and the volatility prediction in GARCH models is suggested. It seems to be useful for various financial time series, in particular for (high-frequency) log returns contaminated by additive outliers. The proposed procedure can be effective in the risk control and regulation when the prediction of volatility is the main concern since it is capable to distinguish and correct outlaid bursts of volatility. This conclusion is demonstrated by simulations and real data examples presented in the paper.
DOI :
10.14736/kyb-2018-6-1138
Classification :
62F35, 62M10, 91G70
Keywords: GARCH model; Kalman filter; outlier; robust recursive estimation; volatility
Keywords: GARCH model; Kalman filter; outlier; robust recursive estimation; volatility
@article{10_14736_kyb_2018_6_1138,
author = {Cipra, Tom\'a\v{s} and Hendrych, Radek},
title = {Robust recursive estimation of {GARCH} models},
journal = {Kybernetika},
pages = {1138--1155},
publisher = {mathdoc},
volume = {54},
number = {6},
year = {2018},
doi = {10.14736/kyb-2018-6-1138},
mrnumber = {3902625},
zbl = {07031765},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-6-1138/}
}
TY - JOUR AU - Cipra, Tomáš AU - Hendrych, Radek TI - Robust recursive estimation of GARCH models JO - Kybernetika PY - 2018 SP - 1138 EP - 1155 VL - 54 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-6-1138/ DO - 10.14736/kyb-2018-6-1138 LA - en ID - 10_14736_kyb_2018_6_1138 ER -
Cipra, Tomáš; Hendrych, Radek. Robust recursive estimation of GARCH models. Kybernetika, Tome 54 (2018) no. 6, pp. 1138-1155. doi: 10.14736/kyb-2018-6-1138
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