Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 1(2), pp. 47 - 55
DOI: 10.13189/ujcmj.2013.010203
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Time-Series Forecast with Adaptive Feedback Controlled Predictor

Mark A. Pinsky^*
Department of Mathematics and Statistics, University of Nevada. Reno, Reno NV 89521

ABSTRACT

This paper describes a novel approach to predicting time-series which blends techniques developed in the areas of observer design and numerical solvers for ODEs. The developed predictor is based on a novel feedback control architecture which leads to computationally efficient and a fairly accurate forecast even for volatile economic series. Application to series of various kinds shows that the developed forecaster possesses some basic properties of numerical solvers for ODE. In the same time it prediction horizon is favorably compared with a time step attaining in numerical simulations for the series with precisely known models whereas no knowledge of the series’ global model is assumed in our forecast. We demonstrate that for noisy series the accuracy of prediction reduces to the level of noise to signal ratio as well as that reduction of noise by smoothing the series comparably increases the accuracy of prediction. It is also shown that the developed approach provides practically valuable forecast in application to volatile economic series.

KEYWORDS
Time-Series Forecast, Adaptive Feedback Control, Numerical Solvers, Delay-Observers

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Mark A. Pinsky , "Time-Series Forecast with Adaptive Feedback Controlled Predictor," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 1, No. 2, pp. 47 - 55, 2013. DOI: 10.13189/ujcmj.2013.010203.

(b). APA Format:
Mark A. Pinsky (2013). Time-Series Forecast with Adaptive Feedback Controlled Predictor. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 1(2), 47 - 55. DOI: 10.13189/ujcmj.2013.010203.