Statistics and Its Interface

Volume 3 (2010)

Number 3

Assessing the stability of long-horizon SSA forecasting

Pages: 321 – 327



Andrey Pepelyshev (School of Mathematics and Statistics, Sheffield University, Sheffield, United Kingdom)

Anatoly Zhigljavsky (School of Mathematics, Cardiff University, Cardiff, United Kingdom)


We start with formalizing the problem of assessing the stability of long-horizon forecasting of a given family of forecasting techniques. Next, we argue that in some applications the so-called singular-spectrum analysis (SSA) could be a suitable family of techniques to consider. We then apply the proposed methodology to two simulated time series and also to the Earth temperature records. We demonstrate that the SSA forecasts of the temperatures appear to be more stable at present than three-four years ago.


singular spectrum analysis, stability of forecasts, long-horizon forecasting, retrospective forecasts, SSA vector forecasting

2010 Mathematics Subject Classification


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