Instant Trend-Seasonal Decomposition of Time Series with Splines. Rosales, F. & Krivobokova, T. 2012.
Instant Trend-Seasonal Decomposition of Time Series with Splines [link]Paper  abstract   bibtex   
We present a nonparametric method to decompose a times series into trend, seasonal and remainder components. This fully data-driven technique is based on penalized splines and makes an explicit characterization of the varying seasonality and the correlation in the remainder. The procedure takes advantage of the mixed model representation of penalized splines that allows for the simultaneous estimation of all model parameters from the corresponding likelihood. Simulation studies and three data examples illustrate the eff ectiveness of the approach.
@misc{Rosales2012Instant,
 abstract = {We present a nonparametric method to decompose a times series into trend, seasonal and remainder components. This fully data-driven technique is based on penalized splines and makes an explicit characterization of the varying seasonality and the correlation in the remainder. The procedure takes advantage of the mixed model representation of penalized splines that allows for the simultaneous estimation of all model parameters from the corresponding likelihood. Simulation studies and three data examples illustrate the eff ectiveness of the approach.},
 author = {Rosales, Francisco and Krivobokova, Tatyana},
 date = {2012},
 title = {Instant Trend-Seasonal Decomposition of Time Series with Splines},
 url = {http://ideas.repec.org/p/got/gotcrc/131.html},
 keywords = {econ;phd},
 year = {2012}
}

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