Journal
COMPUTATIONAL ECONOMICS
Volume -, Issue -, Pages -Publisher
SPRINGER
DOI: 10.1007/s10614-023-10398-z
Keywords
GARCH; M-estimation; Quantile; Robustness; Outliers; Abrupt observations
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In this paper, we propose an M-quantile approach that combines quantile and M-regression to estimate the conditional volatility in the presence of abrupt observations or heavy-tailed distributions. Monte Carlo experiments demonstrate that the M-quantile approach outperforms M-regression and quantile methods in terms of robustness against additive outliers. The effectiveness of the method is illustrated using two financial datasets.
M-regression and quantile methods have been suggested to estimate generalized autoregressive conditionally heteroscedastic (GARCH) models. In this paper, we propose an M-quantile approach, which combines quantile and M-regression to obtain a robust estimator of the conditional volatility when the data have abrupt observations or heavy-tailed distributions. Monte Carlo experiments are conducted to show that the M-quantile approach is more resistant against additive outliers than M-regression and quantile methods. The usefulness of the method is illustrated on two financial datasets.
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