Forecasting High-Frequency Long Memory Series with Long Periods Using the SARFIMA Model

• 作者: Handong Li Xunyu Ye
• 来源期刊: 统计学期刊(英文)
• 学科: 医学
• 关键词: HIGH-FREQUENCY FINANCIAL SERIES LONG Memory LONG PERIODS SARFIMA MONTE Carlo Simulation Intraday Volume
• 年，卷（期）: tjxqkyw_2015,（1）
• 页码范围: 66-74
• 页数: 9页
• 分类号: R73

摘要

This paper evaluates the efficiency of the SARFIMA model at forecasting high-frequency long memory series with especially long periods. Three other models, the ARFIMA, ARMA and PAR models, are also included to compare their forecasting performances with that of the SARFIMA model. For the artificial SARFIMA series, if the correct parameters are used for estimating and forecasting, the model performs as well as the other three models. However, if the parameters obtained by the WHI estimation are used, the performance of the SARFIMA model falls far behind that of the other models. For the empirical intraday volume series, the SARFIMA model produces the worst performance of all of the models, and the ARFIMA model performs best. The ARMA and PAR models perform very well both for the artificial series and for the intraday volume series. This result indicates that short memory models are competent in forecasting periodic long memory series.