Monthly sunspot number time series analysis and its modeling through autoregressive artificial neural network

Details Monthly sunspot number time series analysis and its modeling through autoregressive artificial neural network Monthly sunspot number time series analysis and its modeling through autoregressive artificial neural network

2012-04-18

arxiv.org/abs/1204.3991v1

Eur. Phys. J. Plus, (2012) 127: 43

Physics

General Physics

17 pages, 4 figures

Scientific paper

10.1140/epjp/i2012-12043-9

This study reports a statistical analysis of monthly sunspot number time series and observes non homogeneity and asymmetry within it. Using Mann-Kendall test a linear trend is revealed. After identifying stationarity within the time series we generate autoregressive AR(p) and autoregressive moving average (ARMA(p,q)). Based on minimization of AIC we find 3 and 1 as the best values of p and q respectively. In the next phase, autoregressive neural network (AR-NN(3)) is generated by training a generalized feedforward neural network (GFNN). Assessing the model performances by means of Willmott's index of second order and coefficient of determination, the performance of AR-NN(3) is identified to be better than AR(3) and ARMA(3,1).

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