A Non-Parametric tv-GARCH Model With a Space-State Representation for Forecasting

IF 2.6 3区 经济学 Q1 ECONOMICS
Journal of Forecasting Pub Date : 2026-10-01 Epub Date: 2026-07-01 DOI:10.1002/for.70188
Guillermo Ferreira, Jorge A. Muñoz-Mendoza, Jorge Arratia-Llancao, Jorge Mateu, Miguel Flores-Sánchez, Francisco J. Rodríguez-Cortés
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引用次数: 0

Abstract

We propose a state-space approach for a non-parametric tv-GARCH model. Using a number of non-parametric techniques, we estimate slowly time-varying curves for the parameters and combine it with a recursive system based on the Kalman filter as a methodological framework to obtain forecasts from the model. Our results based on Monte Carlo simulations and an application to the Selective Stock Price Index of the Chilean stock market indicate that the non-parametric tv-GARCH model shows the best fit and provides the best forecasting performance, compared with the stationary GARCH model and other techniques, such as tv-GARCH with time-varying parameters determined by deterministic functions. These results have relevant implications for risk management, portfolio diversification, and asset allocation.

具有空间状态表示的非参数tv-GARCH预测模型
我们提出了一种非参数tv-GARCH模型的状态空间方法。使用一些非参数技术,我们估计参数的缓慢时变曲线,并将其与基于卡尔曼滤波的递归系统相结合,作为方法框架,从模型中获得预测。基于蒙特卡罗模拟和对智利股票市场选择性股票价格指数的应用结果表明,与平稳GARCH模型和其他技术(如由确定性函数确定时变参数的tv-GARCH)相比,非参数tv-GARCH模型具有最佳的拟合和最佳的预测性能。这些结果对风险管理、投资组合多样化和资产配置具有重要意义。
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来源期刊
CiteScore
5.40
自引率
5.90%
发文量
91
期刊介绍: The Journal of Forecasting is an international journal that publishes refereed papers on forecasting. It is multidisciplinary, welcoming papers dealing with any aspect of forecasting: theoretical, practical, computational and methodological. A broad interpretation of the topic is taken with approaches from various subject areas, such as statistics, economics, psychology, systems engineering and social sciences, all encouraged. Furthermore, the Journal welcomes a wide diversity of applications in such fields as business, government, technology and the environment. Of particular interest are papers dealing with modelling issues and the relationship of forecasting systems to decision-making processes.
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