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CPS1867 Winita S. et al.





                           On complex seasonal SSA based forecasting
                                                                 1
                                        1
                             1,2
                                                    3
             Winita Sulandari ; Subanar ; Suhartono ; Herni Utami ; Muhammad Hisyam
                                                   4
                                                Lee
                              1 Universitas Gadjah Mada, Yogyakarta, Indonesia
                               2 Universitas Sebelas Maret, Surakarta, Indonesia
                          3 Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia
                               4 Universiti Teknologi Malaysia, Johor, Malaysia

            Abstract
            Modifications in the forecasting model based on SSA have been an interesting
            subject among researchers in recent years. SSA is considered as a powerful
            method  in  decomposing  complex  time  series  and  a  flexible  model  can  be
            constructed based on SSA decomposition. In this paper, a wellknown monthly
            accidental deaths in USA is used as the experimental study. We compare the
            performance  of  the  hybrid  SSA-model  for  the  deaths  series  with  other
            methods proposed in the literature. The results show that the hybrid SSA-NN
            model yields better forecasting accuracy than other methods discussed in the
            literature.

            Keywords
            SSA; Time series; Accidental; Hybrid; NN

            1.  Introduction
                The discussion of singular spectrum analysis (SSA) and its application has
            been conducted by researchers from various fields (see Afshar & Bigdeli, 2011;
            Hassani, Soofi, & Zhigljavsky, 2010; Hassani, Webster, Silva, & Heravi, 2015;
            Mahmoudvand, Konstantinides, & Rodrigues, 2017; Nong, 2012; Suhartono et
            al., 2018).  This method can be helpful in extracting and identifying the trend,
            harmonics  and  noise  of  a  series  (Hassani,  2007).  SSA  with  linear  recurrent
            formula  (LRF)  discussed  by  Golyandina  &  Korobeynikov  (2014)  is  more
            appropriate  for  handling  deterministic  forecasting  problem.  Recently,
            modelling each component of SSA by stochastic models and then combining
            the results can be an alternative to SSA-LRF (Liu, Zhang, & Zhang, 2015).
                By employing the hybrid method, the weakness of one method can be
            handled  by  another  method  such  that  the  accuracy  performance  of  the
            forecasting  values  usually  improves.  Neural  network  (NN)  is  a  powerful
            method in solving complex forecasting problems (G. P. Zhang & Qi, 2005).
            Tseng, Yu, & Tzeng, (2002) has successfully combined NN with ARIMA and
            applied this hybrid method to forecast seasonal time series data.


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