A nonparametric method of multi-step ahead forecasting in diffusion processes

Mariko Yamamura and Isao Shoji

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 12, 2408-2415

Abstract: This paper provides a nonparametric model of multi-step ahead forecasting in diffusion processes. The model is constructed from the local linear model with the Gaussian kernel. The paper provides simulation studies to evaluate its performance of multi-step ahead forecasting by comparing with the global linear model, showing the better forecasting performance of the nonparametric model than the global linear model. The paper also conducts empirical analysis for forecasting using intraday data of the Japanese stock price index and the time series of heart rates. The result shows the performance of forecasting does not differ much in the Japanese stock price index, but that the nonparametric model shows significantly better performance in the analysis of the heart rates.

Keywords: Multi-step ahead forecasting; Nonparametric estimation; Local linear model; Diffusion process (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:12:p:2408-2415

DOI: 10.1016/j.physa.2010.02.018

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