×

Complete subset least squares support vector regression. (English) Zbl 1462.62642

Summary: In this paper, we propose a new method for combining forecasts based on complete subset least squares support vector regressions (LSSVR\(^{\text{CS}})\) that is applicable to both linear and nonlinear data generation processes. Our LSSVR\(^{\text{CS}}\) is very flexible that it can incorporate other methods, like ridge regression or complete subset regression, as special cases. In a Monte Carlo simulation experiment, our LSSVR\(^{\text{CS}}\) outperforms many other competing approaches. The out-of-sample performance of the LSSVR\(^{\text{CS}}\) method is examined in an analysis for predicting Bitcoin realized volatility. The results favor our method relative to others.

MSC:

62P05 Applications of statistics to actuarial sciences and financial mathematics
62J07 Ridge regression; shrinkage estimators (Lasso)
62M20 Inference from stochastic processes and prediction
68T05 Learning and adaptive systems in artificial intelligence
Full Text: DOI

References:

[1] Andersen, T. G.; Bollerslev, T., Answering the skeptics: Yes, standard volatility models do provide accurate forecasts, Int. Econ. Rev., 39, 4, 885-905 (1998)
[2] Corsi, F., A simple approximate long-memory model of realized volatility, J. Financ. Econom., 7, 2, 174-196 (2009)
[3] Elliott, G.; Gargano, A.; Timmermann, A., Complete subset regressions, J. Econometrics, 177, 2, 357-373 (2013) · Zbl 1288.62139
[4] Gandal, N.; Hamrick, J.; Moore, T.; Oberman, T., Price manipulation in the bitcoin ecosystem, J. Monetary Econ., 95, 86-96 (2018)
[5] Hansen, P. R., A test for superior predictive ability, J. Bus. Econ. Statist., 23, 4, 365-380 (2005)
[6] Hansen, B. E., Least squares model averaging, Econometrica, 75, 4, 1175-1189 (2007) · Zbl 1133.91051
[7] Hu, J.; Hardle, W. K.; Kuo, W., Risk of bitcoin market: Volatility, jumps, and forecasts (2019), Papers 1912.05228, arXiv.org, December
[8] Lehrer, S. F.; Xie, T., The bigger picture: Combining econometrics with analytics improve forecasts of movie success, Manag. Sci. (2020), Forthcoming
[9] Peng, Y.; Albuquerque, P. H.M.; Camboim de Sá, J. M.; Padula, A. J.A.; Montenegro, M. R., The best of two worlds: Forecasting high frequency volatility for cryptocurrencies and traditional currencies with support vector regression, Expert. Syst. Appl., 97, 177-192 (2018)
[10] Suykens, J.; Brabanter, J. D.; Lukas, L.; Vandewalle, J., Weighted least squares support vector machines: robustness and sparse approximation, Neurocomputing, 48 (2002) · Zbl 1006.68799
[11] Suykens, J.; Vandewalle, J., Least squares support vector machine classifiers, Neural Process. Lett., 9 (1999) · Zbl 0958.93042
[12] Tibshirani, R., Regression shrinkage and selection via the lasso, J. R. Stat. Soc. Ser. B, 58, 267-288 (1996) · Zbl 0850.62538
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.