Fourier-autoregressive (F-AR) coefficient non-linear time-series model for forecasting asymmetric cyclical data
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Authors
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HIMADRI GHOSH
Indian Agricultural Statistics Research Institute, New Delhi 110 012 India
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K A SARKAR
Indian Agricultural Statistics Research Institute, New Delhi 110 012 India
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PRAJNESHU PRAJNESHU
Indian Agricultural Statistics Research Institute, New Delhi 110 012 India
Keywords:
Bootstrap, F-AR Model, Monte Carlo simulation, Oil sardine landings data, TestAbstract
The aim of this study was to apply Fourier autoregressive (F-AR) model to describe and forecast asymmetric cyclical data. For carrying out statistical analysis, computer programs were developed using SAS, Ver. 9.2 software package. Twentysix years (1985–2010) quarterly oil sardine fish landings data (in tonnes) recorded at Central Marine Fisheries Research Institute, Kochi, India were used. Superiority of F- AR model over AR model was demonstrated by developing one-step ahead forecasts for two years’ hold-out data. Its potential use is to develop optimal import and export policies for Oil sardines. This type of information would also go a long way in enabling the Fishing industry in optimization of its resources. Efficient Oil sardine management strategies need to be evolved in order to allocate optimum number of boats and trawlers, etc.
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References
Amendola A and Storti G. 2002. A nonlinear time-series approach to modelling asymmetry in stock market indexes. Statistical Methods and Applications 11: 201–16. DOI: https://doi.org/10.1007/BF02511487
Bloomfield P. 2000. Fourier Analysis of Time-Series: An Introduction. 2nd edn. John Wiley and Sons, U.S.A. DOI: https://doi.org/10.1002/0471722235
Box G E P, Jenkins G M and Reinsel G C. 2009. Time-Series Analysis: Forecasting and Control. 3rd edn. Pearson Education, San Francisco.
Efron B and Tibshirani J R. 1993. An Introduction to the Bootstrap. Chapman and Hall, New York. DOI: https://doi.org/10.1007/978-1-4899-4541-9
Fan J and Yao Q. 2003. Nonlinear Time-Series: Nonparametric and Parametric Methods. Springer, New York.
Kiani K M. 2009. Asymmetries in macroeconomic time-series in eleven Asian economies. International Journal of Business and Economics 8: 37–54.
Ludlow J and Enders W. 2000. Estimating nonlinear ARMA models using Fourier coefficients. International Journal of Forecasting 16: 333–47. DOI: https://doi.org/10.1016/S0169-2070(00)00048-0
Milas C, Rothman P and Dick D. 2006. Nonlinear Time-Series Analysis of Business Cycles. Elsevier B.V., Amsterdam. DOI: https://doi.org/10.1016/S0573-8555(2006)276
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