Nonstationary Time Series Forecasting Using Wavelets and Kernel Smoothing

作者:Aminghafari Mina*; Poggi Jean Michel
来源:Communications in Statistics - Theory and Methods, 2012, 41(3): 485-499.
DOI:10.1080/03610926.2010.529532

摘要

The authors deal with forecasting nonstationary time series using wavelets and kernel smoothing. Starting from a basic forecasting procedure based on the regression of the process on the nondecimated Haar wavelet coefficients of the past, the procedure was extended in various directions, including the use of an arbitrary wavelet or polynomial fitting for extrapolating low-frequency components. The authors study a further generalization of the prediction procedure dealing with multistep forecasting and combining kernel smoothing and wavelets. They finally illustrate the proposed procedure on nonstationary simulated and real data and then compare it to well-known competitors.

  • 出版日期2012