## Abstract Financial market time series exhibit high degrees of non‐linear variability, and frequently have fractal properties. When the fractal dimension of a time series is non‐integer, this is associated with two features: (1) inhomogeneity—extreme fluctuations at irregular intervals, and (2) s
A forecasting procedure for nonlinear autoregressive time series models
✍ Scribed by Yuzhi Cai
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 156 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0277-6693
- DOI
- 10.1002/for.959
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Forecasting for nonlinear time series is an important topic in time series analysis. Existing numerical algorithms for multi‐step‐ahead forecasting ignore accuracy checking, alternative Monte Carlo methods are also computationally very demanding and their accuracy is difficult to control too. In this paper a numerical forecasting procedure for nonlinear autoregressive time series models is proposed. The forecasting procedure can be used to obtain approximate m‐step‐ahead predictive probability density functions, predictive distribution functions, predictive mean and variance, etc. for a range of nonlinear autoregressive time series models. Examples in the paper show that the forecasting procedure works very well both in terms of the accuracy of the results and in the ability to deal with different nonlinear autoregressive time series models. Copyright © 2005 John Wiley & Sons, Ltd.
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