## Abstract Financial data series are often described as exhibiting two nonโstandard time series features. First, variance often changes over time, with alternating phases of high and low volatility. Such behaviour is well captured by ARCH models. Second, long memory may cause a slower decay of the
Optimal prediction with nonstationary ARFIMA model
โ Scribed by Mohamed Boutahar
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 320 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0277-6693
- DOI
- 10.1002/for.1012
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
We propose two methods to predict nonstationary longโmemory time series. In the first one we estimate the longโrange dependent parameter d by using tapered data; we then take the nonstationary fractional filter to obtain stationary and shortโmemory time series. In the second method, we take successive differences to obtain a stationary but possibly longโmemory time series. For the two methods the forecasts are based on those obtained from the stationary components.โโCopyright ยฉ 2007 John Wiley & Sons, Ltd.
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