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PARSIMONIOUS PERIODIC TIME SERIES MODELING
Authors:Robert  Lund  Qin  Shao and Ishwar  Basawa
Institution:Clemson University, The University of Toledo and The University of Georgia
Abstract:This paper studies techniques for fitting parsimonious periodic time series models to periodic data. Large sample standard errors for the parameter estimates in a periodic autoregressive moving‐average time series model under parametric constraints are derived. Likelihood ratio statistics for hypothesis testing are examined. The techniques are applied in modeling daily temperatures at Griffin, Georgia, USA.
Keywords:Fourier series  periodic autocovariances  periodic autoregressive moving-average (PARMA) Model  standard errors
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