A bootstrap procedure for constructing prediction bands a stationary functional time series is proposed. The exploits general vector autoregressive representation of the time-reversed Fourier coefficients appearing in Karhunen–Loève process. It generates backward-in-time replicates that adequately mimic dependence structure underlying process model-free way and have same conditionally fixed cur...

Chaotic time series have been involved in many fields of production and life, so their prediction has a very important practical value. However, due to the characteristics chaotic series, such as internal randomness, nonlinearity, long-term unpredictability, most methods cannot achieve high-precision intermediate or predictions. Thus, an (ILTP) method for n-dimensional is proposed solve this pr...