Seasonal Modelling of Fourier Series with Linear Trend

  •  Iberedem Iwok    


This work was motivated by the need to model a periodic time series function with linear trend. A Fourier series representation with detrended linear function was proposed. In this representation, the time series  is expressed as a combination of the linear trend component and a linear combination of  orthogonal trigonometric functions; where  is the number of seasons. The method was applied to a rainfall data and the proposed model was found to give a good fit. Comparative study was carried out with the complete Fourier representation. Diagnostic checks revealed that the proposed method performs better the pure Fourier approach.

This work is licensed under a Creative Commons Attribution 4.0 License.
  • ISSN(Print): 1927-7032
  • ISSN(Online): 1927-7040
  • Started: 2012
  • Frequency: bimonthly

Journal Metrics

  • h-index (December 2021): 20
  • i10-index (December 2021): 51
  • h5-index (December 2021): N/A
  • h5-median(December 2021): N/A

( The data was calculated based on Google Scholar Citations. Click Here to Learn More. )